The gravitational force between point masses is unaffected by the medium and remains constant regardless of their surroundings. As a result, even if the two-point masses are submerged in water, the...
The areal velocity of mars around the sun does not change while it revolves around the sun, according to Kepler's law. As a result, the areal velocity versus time graph is a straight line.
The correct option is d) is close to each other for objects, say of sizes less than 100 m
The correct options are a) a polar satellite goes around the earth’s pole in a north-south direction c) a geostationary satellite goes around the earth in a west-east direction
The correct options are a) the acceleration due to gravity on earth will be different for different object c) only the third law will become invalid d) for n negative, an object lighter than water...
The correct options are a) all three of Kepler’s laws would still be valid c) the second law will not change d) the first law will still be valid
The correct options are a) planets will not have elliptic orbits c) projectile motion of a stone thrown by hand on the surface of the earth will be approximately parabolic Explanation: The planets...
The correct options are a) acceleration due to gravity decreases with increasing altitude c) acceleration due to gravity increases with increasing latitude
The correct option is d) gravitational mass of a particle-like proton can depend on the presence of neighbouring heavy objects but the inertial mass cannot
The correct option is b) will not be strictly elliptical because the total gravitational force on it is not central
The correct option is a) the torque is zero
a) the expansion takes place at constant temperature b) the expansion takes place at constant pressure Plot the P-V diagram for each case. In which of the two cases, is the work done by the gas...
Answer: To determine the temperature inside the refrigerator, we must first determine the work that has been done. W = 0 Q1 = Q2 β = ∞ Where β represents the coefficient of performance According to...
Answer: Expression for the efficiency of the Carnot engine is as follows; $ \eta =1-\frac{{{T}_{2}}}{{{T}_{1}}} $ Where T1 = 300 K and T2 = 270 K We are given that the efficiency is 50% = 0.5...
Answer: The equation before and after the stroke can be written as follows: $ {{P}_{1}}{{V}_{1}}={{P}_{2}}V_{2}^{\gamma } $ $ P{{\left( V+\Delta V \right)}^{\gamma }}=(P+\Delta P){{V}^{\gamma }} $ $...
Answer: According to the question, the height of the stairs is h = 10 m And the work done to burn 5 kg of fat is W = (5)(7000 × 103)(4.2) W = 147 × 106 J Therefore, the work done towards burning of...
Answer: According to the question, the temperature of the source is T1 = 500 K and the temperature of the sink is T2 = 300 K We also have the work done per cycle as W = 1 kJ = 1000 J we have to...
Answer: According to Charle's law, the air pressure in a car tyre increases while the volume remains constant during driving. Temperature and pressure are proportional. As a result, the pressure of...
Yes, it is possible to raise a gas's temperature without adding heat to it. During adiabatic compression, this is feasible. In adiabatic compression, we know that dQ=0 ∴ Making use of the first law...
Answer: When a refrigerator door is left open, the room becomes hot because the quantity of heat received by the refrigerator, as well as the work performed by the refrigerator, is rejected into the...
Answer: From path 1 we can say that, Q1 = +1000 J and the work done is W1 – W2 = 100 Where W1 represents the work done through path 1 and W2 denotes the work done through path 2. Therefore, we can...
Answer: option iii) Increasing the size of the atoms in a group results in a decrease in ionization enthalpy. As a result, the following is the ranking: Li > Na > K > Rb.
Answer: Yes, if the complete amount of heat provided to the system is used for expansion. To maintain a constant temperature, the system's work against the environment should be compensated by the...
If W > 0, then possibilities are: a) Q1 > Q2 > 0 b) Q2 > Q1 > 0 c) Q2 < Q1 < 0 d) Q1 < 0, Q2 > 0 Answer: The correct options are a) Q1 > Q2 > 0 c) Q2 < Q1 < 0...
1 to 2 is isothermal 2 to 3 is adiabatic 3 to 1 is adiabatic Such a process does not exist because a) heat is completely converted to mechanical energy in such a process, which is not possible b)...
a) change in internal energy is the same in IV and III cases, but not in I and II b) change in internal energy same in all the four cases c) work done is maximum in case I d) work done is minimum in...
a) dU = 0 b) dQ = 0 c) dQ = dU d) dQ = dW Answer: The correct options are a) dU = 0 d) dQ = dW Explanation: Internal energy is a function of temperature. Since temperature is constant...
a) the increase in temperature of an iron rod by hammering it b) a gas in a small container at a temperature T1 is brought in contact with a big reservoir at a higher temperature T2 which increases...
a) b) c) d) Answer: The correct option is b)
Answer: The correct answer is a)
a) 6P0V0 b) -2P0V0 c) +2P0V0 d) +4P0V0 Answer: The correct option is d) +4P0V0 Explanation Work done by the gas is equal to the area of rectangle ABCDA =AB×BC =(2V0)P0 =2P0V0 This work is done on...
Out of the following diagrams, which represent the T-P diagram? a) iv b) ii c) iii d) i Answer: The correct option is c) iii Explanation: In the above-mentioned graph, PV=constant Moreover, PV=nRT...
a) 0.25 kg b) 2.25 kg c) 0.05 kg d) 0.20 kg Answer: The correct option is a) 0.25 kg Explanation: Energy produces = 14.5 × 103 cal/min. Then the amount of sweat evaporated per min is given...
a) 4 b) 3 c) 2 d) 1 Answer: The correct option is c) 2 Explanation: The adiabatic process occurs when a thermodynamic system changes in such a way that no heat exchange occurs between it and its...
c) if all this energy U is in the form of radiation, corresponding momentum is p = U/c. How much momentum per unit time does it impart on unit area at a distance of 1 km? Answer: (c) According to...
a) estimate the power it radiates b) if surrounding has water at 30oC, how much water can 10% of the energy produced evaporate in 1 sec? Answer: a) We know that the expression for the power radiated...
Answer: Consider the following diagram: From the diagram, this much can be said that: $ \theta =\frac{{{\theta }_{1}}+{{\theta }_{2}}}{2} $ The temperature changes in a linear fashion from θ1 to...
Answer: According to the question, we have - αsteel = 1.2 × 10-5/oC and Lo = 10 m ∆T = 20oC Making use of the Pythagoras theorem, we have; $ {{x}^{2}}={{\left[ \frac{1}{2}(L+\Delta L)...
Answer: According to the question, decrease in temperature is as follows: ∆t = 57 – 37 = 20oC The coefficient of linear expansion is as follows: α = 1.7 × 10-5oC And the bulk modulus for copper is:...
Answer: According to the question, the volume of vessel is V = 100 cm3 = 10-4 = constant We also have that the volume of the iron vessel – Volume of brass rod = 10-4 m3 We know that: $ {{\beta...
Answer: Change in length of iron rod is given as follows: $ \Delta L={{\alpha }_{iron}}{{L}_{iron}}\Delta T $ Change in length of brass rod is given as follows: $ \Delta L={{\alpha...
a) fill the remaining bucket completely by cold water and then attend the work b) first attend to the work and fill the remaining bucket just before taking bath. Which option do you think would have...
Answer: According to the question, the mass of water is 100 g At -10 degrees Celsius, the mixture has water and ice The expression for the heat required by the mixture is as follows: ms∆t =...
Answer: The graph above depicts the relationship between water pressure and temperature. When the pressure is increased, the ice becomes liquid, and when the pressure is decreased, it becomes solid....
Answer: The picture above depicts a rod with a uniform mass M and a length l that is bisected perpendicularly. $ I=\frac{1}{12}M{{l}^{2}} $ When the temperature is raised, the rod length increases...
Answer: Copper bottom utensils are utilised because, when compared to steel, copper is a better heat conductor. As a result, copper-bottomed utensils are utilised, and heat is distributed evenly....
Answer: For the construction of the temperature scale, consider two fixed points. The lower fixed point is the initial fixed point, which is for the freezing point. The upper fixed point is the...
Answer: Because the rate of heat transfer through metal is faster than in wood, a metal bar seems to be hotter than a hardwood bar at the same temperature. Similarly, a metal bar appears to be...
Sl.no l (m) ∆T (oC) ∆l (m) 1 2 10 4 × 10-4 2 1 10 4 × 10-4 3 2 20 2 × 10-4 4 3 10 6 × 10-4 If the first observation is correct, what can you say about observations 2, 3, and 4. Answer: Assume that...
The geometric centre of gravity is the geometric centre, but the mass of the place where the complete mass of the body is considered is the mass of the centre of mass. When an object's vertical...
Answer: A thermometer's bulb is made of diathermic walls, which allow heat to pass through. The bulb of a thermometer is built of diathermic walls, which enable heat energy to be exchanged between...
a) the rate of cooling is constant till milk attains the temperature of the surrounding b) the temperature of milk falls off exponentially with time c) while cooling, there is a flow of heat from...
a) the region AB represents ice and water in thermal equilibrium b) at B water starts boiling c) at C all the water gets converted into steam d) C to D represents water and steam in equilibrium at...
a) both size gulab jamuns will get heated at the same time b) smaller gulab jamuns are heated before bigger ones c) smaller pizzas are heated before bigger ones d) bigger pizzas are heated before...
a) A system X is in thermal equilibrium with Y but not with Z. System Y and Z may be in thermal equilibrium with each other b) A system X is in thermal equilibrium with Y but not with Z. Systems Y...
a) plate will cool fastest and cube the slowest b) sphere will cool fastest and cube the slowest c) plate will cool fastest and sphere the slowest d) cube will cool fastest and plate the slowest...
Answer: The correct option is d).
a) kinetic energy of random motion of molecules b) kinetic energy of orderly motion of molecules c) total kinetic energy of random and orderly motion of molecules d) kinetic energy of random motion...
a) increases as its effective length increases even though its centre of mass still remains at the centre of the bob b) decreases as its effective length increases even though its centre of mass...
a) buoyancy will be less in water at 0oC than that in water at 4oC b) buoyancy will be more in the water at 0oC than that in water at 4oC c) buoyancy in water at 0oC will be same as that in the...
Answer: The correct answer is b)
a) its speed of rotation increases b) its speed of rotation decreases c) its speed of rotation remains the same d) its speed increases because its moment of inertia increases Answer: The correct...
a) remain straight b) get twisted c) will bend with aluminium on the concave side d) will bend with steel on the concave side Answer: The correct option is d) will bend with steel on the concave...
d) 155.0 J
a) 250π2
c)
d)
b)
b) 50 J
b) V = E, K = O
c) both the stones reach the bottom with the same speed and stone II reaches the bottom earlier than stone I
c) total linear momentum
c) total mechanical energy
c) zero
d) at first greater than mg, and later becomes equal to mg
c) more for the case of a positron, as the positron moves away from a larger distance
b) the magnetic forces do no work on each particle
Correct answer is a) 2ω
Mass percent of HNO3 in sample is 69 % Thus, 100 g of HNO3 contains 69 g of HNO3 by mass. Molar mass of HNO3 = { 1 + 14 + 3(16)} g.mol^{-1}g.mol−1 = 1 + 14 + 48 = 63g mol^{-1}=63gmol−1 Now,...
Answer: Suppose that pi represents the pressure inside the balloon and po represents the pressure outside the balloon. Then the excess pressure can be written as: pi – po = 2T/r Where, T represents...
Option (i) is correct
c) 1 g of water in the vapour state at 1 atm occupies 1601 cm3. Estimate the intermolecular distance at boiling point, in the vapour state. d) During vaporisation a molecule overcomes a force F,...
(i) is d (ii) is a (iii) is b (iv) is c
a) Estimate the energy required for one molecule of water to evaporate. b) Show that the inter-molecular distance for water is Answer : a) According to the question, the latent heat of vaporization...
Answer: (c) We know that - $ p={{p}_{0}}{{e}^{\left( -\frac{{{\rho }_{0}}gh}{{{p}_{0}}} \right)}} $ By substituting the known values, we can determine that h = 18.43 km (d) For $ \rho \alpha p $ to...
Answer: (a) The pressure falls as we ascend higher because the thickness of the gas above us diminishes. Let A be the cross-section of the air's horizontal layer, and dh be its height. The pressure...
Answer: According to the question, the surface tension of water is T = 7.28 × 10-2 N/m and the vapour pressure is P = 2.33 × 103 Pa Let r represent the radius of the drop The excess pressure that is...
Answer: The volume of a drop of liquid with a radius of R = (N) (volume of a liquid droplet of radius r) $ \frac{4}{3}\pi {{R}^{3}}=N\times \frac{4}{3}\pi {{r}^{3}} $ $ N=\frac{{{R}^{3}}}{{{r}^{3}}}...
Answer : The two drops should combine to make a larger drop in order to conserve volume. The radius of smaller drop is given as follows: r1 = 0.1 cm = 10-3 m Also, the radius of the bigger drop is...
Answer: Let m be the mass of an elementary oil particle. The balancing forces are angled in the surface's direction. Pseudo force is given by ma mg represents the height of a small part of the oil...
Answer: according to the question, the radius is r = 2.5 × 10-5 m The surface tension is T = 7.28 × 10-2 N/m It is also given that the angle of contact is θ = 0 degrees and the density is ρ = 103...
Answer : Let ρ represent the density of a block and let height of the block be L Then, we can write the expression for the mass of the block as follows: m = Vρ = L3ρ Then, the weight of the block is...
Answer : Let ρ represent the density of a block and let height of the block be L Then, we can write the expression for the mass of the block as follows: m = Vρ = L3ρ Then, the weight of the block is...
Answer: We know that the upthrust of the block is equal to the weight of water displaced. The expression of which can be written as follows Vρwg Let x represent the compression in the spring. So,...
Answer: According to the question, the density of ice is ρice = 0.917 g/cm3 The density of water is ρwater = 1 g/cm3 Let Vi represent the volume of the iceberg and Vw denote the volume of the water...
Answer: Surface tension is a scalar quantity as it has a specific direction. Surface tension is given by the expression : σ = W.D / Change in surface area As it is equal to the work done per unit...
Answer: Viscosity is not a vector quantity. Viscosity is a liquid attribute that's equal to the amount of dragging force per unit area between two liquid layers with the same velocity gradient. As a...
a) high density b) high viscosity c) low density d) low viscosity Answer: The correct options are : b) high viscosity c) low density Explanation: Streamline flow is highly likely for liquids with...
a) gases decreases b) liquids increases c) gases increases d) liquids decreases Answer: The correct options are : c) gases increases d) liquids decreases Explanation : Because the viscosity of...
is a month of a year not having 31 days} (ii) F = { is a consonant in the English alphabet which proceeds k}.Solution: (i) E = {$x: x$ is a month of a year not having 31 days} As a result the elements are E = {February, April, June, September, November} (ii) F = {$x: x$ is a consonant in the English...
The distance l and h are shown in the figure. After some time the coin falls into the water. Then a) l decreases b) h decreases c) l increases d) h increases Answer: The correct options are : a) l...
a) it is the ratio of force to the area and both force and area are vectors b) it is the ratio of the magnitude of the force to area c) it is the ratio of a component of the force normal to the area...
a) the net force on it is zero b) there is a net downward force c) the potential energy is less than that of a molecule inside d) the potential energy is more than that of a molecule inside Answer:...
a) water b) ethyl alcohol c) mercury d) methyl iodide Answer : The correct answer c) mercury If the contact angle is obtuse, the liquid meniscus in a capillary tube will be convex upwards. When one...
a) 9:4 b) 3:2 c) √3: √2 d) √2: √3 Answer: The correct answer a) 9:4 $ {{A}_{1}}{{v}_{1}}={{A}_{2}}{{v}_{2}} $ $ \frac{{{v}_{1}}}{{{v}_{2}}}=\frac{{{A}_{1}}}{{{A}_{2}}}={{\left(...
a) the velocity of a fluid particle remains constant b) the velocity of all fluid particles crossing a given position is constant c) the velocity of all fluid particles at a given instant is...
The correct answer is d) Lines of flow do not intersect each other.
Answer: The correct answer is c)
c) what shall be the nature of the motion after the stone has reached its lowest point? Answer: After the stone has reached its lowest position, the motion becomes z0. It is given by the expression...
is an integer and 
}. (ii) B = { is a natural number less than 6}.Solution: (i) A = {$x: x$ is an integer and $–3 < x < 7$} –2, –1, 0, 1, 2, 3, 4, 5, and 6 are the only elements of the given set. As a result, the provided set can be written in the roster...
a) find the distance y from the top when the mass comes to rest for an instant, for the first time b) what is the maximum velocity attained by the stone in this drop? According to the figure, PE of...
$\frac{T\pi {{r}^{4}}}{4R}$ Y is the Young’s modulus, r is the radius of the trunk and R is the radius of curvature of the bent surface along the height of the tress containing the centre of...
Answer : The change in angle ABC is calculated using trigonometry. $ \cos \theta =\frac{l_{1}^{2}+l_{3}^{2}-l_{2}^{2}}{2{{l}_{3}}{{l}_{1}}} $ The change in angle ABC is given as when the above...
Answer : The tensions T(r) and T(r+dr) acting as an external force on the rod at positions A and B are T(r) and T(r+dr). The centrifugal force on the element owing to tension difference is...
Answer: Consider that dx represents the small element and dm represents the mass. Let L be the length of the wire and x denote the distance from the end where the wire is hung. Let μ be the mass per...
a) for what angle is the tensile stress a maximum? b) for what angle is the shearing stress a maximum? Answer: According to the question, the force F is applied along the horizontal. Therefore, when...
Answer : Because the ivory balls are more elastic than the wet clay balls, and they are both dropped from the same height, their velocities shortly before hitting the floor will be the same. The...
Answer: According to the question, the length of the steel cable is l = 9.1 m and the radius, r = 5 mm Also, the Tension on the cable = 800 N It is also given that the Young’s modulus is Y = 2 ×...
Answer: According to the question, the bulk modulus of rubber is B = 9.8 × 108 N/m2 The density of seawater is given = 103 kg/m3 0.1% is the percentage decrease in volume We know that the...
Answer: According to the question, the Young’s modulus of steel is Y = 2.0 × 1011 N/m2 The coefficient of thermal expansion is α = 10-5 oC-1 And the length is => L = 1 m Therefore, the area of...
Answer : According to the given figure, the young's modulus is given by the expression : Y = (f/A)(L/l) First case: Let the length of the wire be L and the radius of wire be r. Force applied = f and...
The volume of oleic acid in one drop is 1/400mL
Kepler's third law states that, $T^{2} \propto a^{3}$ i.e., square of time period $\left(T^{2}\right)$ of a satellite revolving around a planet, is proportional to the cube of the radius of the...
. The percentage error in the measurement of a, b, c and d are 1%, 2%, 3% and 4%, respectively. What is the percentage error in quantity X? If the value of X calculated on the basis of the above relation is 2.763, to what value should you round off the result.The given physical quantity is $X=a^{2}b^{3}c^{5/2}d^{-2}$ Percentage error in X is given as (∆x/x)(100) Percentage error in a is given as (∆a/a)(100) = 1% Percentage error in b is given as...
where P is the pressure difference between the two ends of the pipe and η is coefficient of viscosity of the liquid having dimensional formula 
. Check whether the equation is dimensionally correct.Dimension of the given physical quantity is as follows, [V] = dimension of volume/dimension of time $=[L^{3}]/[T]$ $=[M^{-1}T^{-2}]$ LHS $=[L^{3}T^{-1}]$ RHS $=[L^{3}T^{-1}]$ LHS = RHS Hence, the...
Let Q be the physical quantity as $n_{1}u_{1}=n_{2}u_{2}$ Let $M_{1}$, $L_{1}$, $T_{1}$ be the units of mass, length, and time for the first system. and $M_{2}$,$L_{2}$,$T_{2}$ be the units of mass,...
Force [F] is given as 100 N Length [L] is given as 10 m Time [t] is given as 100 s $[F]=[MLT^{2}]$ Substituting the values, we get M = 105 kg
The minimum inaccuracy in the measurement of distance = (1/50)(0/5)mm = 0.01 mm
Correct option is d) an atomic clock as it measures up to one second.
The ratio of sun-earth diameter is $D_{sun}/D_{earth}=100$
(a) Because the distance between the moon and the earth is greater than the radius of the earth, it is considered as an arc. Let the length of the arc be $R_{e}$ Distance between the moon and the...
Radius of atom is given as $1 Å = 10^{-10} m$ Radius of nucleus is known as $1 fermi = 10^{-15} m$ Volume of atom will be $4/3\pi Ra^{3}$ Volume of nucleus will be $4/3\pi Rn^{3}$...
Correct answers are b) parsec and d) light year
Correct answer is d) $P^{1}A^{1/2}T^{-1}$
Correct answer is a) 4.9 cm
Correct answer is d) 1.4 m ± 0.2 m
respectively. The density of the material of the body in correct significant figures is:
Correct answer is c) $1.7g/cm^{3}$
(i) On heating, they may become crystalline at a certain temperature. (ii) They may become crystalline on keeping for a long time. (iii) Amorphous solids can be moulded by heating. (iv) They are...
(i) Same in all directions (ii) Different in different directions (iii) Cannot be measured (iv) Always zero Correct Answer: (i) Same in all directions Explanation: As the amorphous...
Correct Answer: Option (d) Explanation: These are the factors in which the electron spins are associated with magnetic atoms in certain crystallographic areas and are directed at each other in such...
(i) Graphite (C) (ii) Quartz glass (SiO2) (iii) Chrome alum (iv) Silicon carbide (SiC) Correct Answer: (ii) Quartz glass (SiO2) Explanation: Solids are considered as an amorphous when they...
(i) Definite and characteristic heat of fusion (ii) Isotropic nature (iii) A regular periodically repeated pattern of arrangement of constituent particles in the entire crystal (iv) A true solid...
(i) High temperature (ii) Low temperature (iii) High thermal energy (iv) Weak cohesive forces Correct Answer: (ii) Low temperature Explanation: At the low temperatures, the substances...
(i) At low pressure as the dark blue curve and the sky blue curve are approaching each other, it shows that the real gas is behaving as an ideal gas at a low pressure. (ii) At high pressure as the...
(i) As the temperature is constant, and the pressure is increasing and the change in the volume is seen as exponentially decreasing. (ii) At constant pressure, by increasing the temperature there is...
As the temperature increases, the intermolecular force operating between the particles decreases, the bond strength increases and also the kinetic energy increases. Hence, as the temperature...
We know that: Pideal = Preal + an2/V2 Pideal – Preal= an2/V2 Nm-2 = a*mol2/m6 A = Nm4mol-2 The unit of ‘a’ when the pressure is taken in Nm-2, number of moles in “mol” and volume in m3 is Nm4mol-2...
(i) The increasing order of ‘b’ is as follows: He < H2< O2< CO2. As the Vander Waals constant ‘b’ is approximately equal to the total volume of the molecules of a gas. (ii)The decreasing...
. Assuming that you are examining the oscillation characteristics of its suspension system. The suspension sags 
when the entire automobile is placed on it. Also, the amplitude of oscillation decreases by 
during one complete oscillation. Estimate the values of (a) the spring constant 
and (b) the damping constant b for the spring and shock absorber system of one wheel, assuming that each wheel supports 
.(a) Mass of the automobile is given as $=3000 \mathrm{~kg}$ The suspension sags by a length of $15 \mathrm{~cm}$ Decrease in amplitude $=50 \%$ during one complete oscillation If each spring's...
just fits and can move up and down without any friction. Show that when the ball is pressed down a little and released, it executes SHM. Obtain an expression for the time period of oscillations assuming pressure-volume variations of air to be isothermal [see Figure]Solution: Volume of the air chamber is given as $\mathrm{V}$ Cross-sectional area of the neck is given as $\mathrm{A}$ Mass of the ball be $m$ The ball is fitted in the neck at position given as...
. The cork is depressed slightly and then released. Show that the cork oscillates up and down simple harmonically with a period 
where 
is the density of cork. (Ignore damping due to viscosity of the liquid)Base area of the cork is given as $=\mathrm{A}$ Height of the cork is given as $h$ Density of the liquid is given as $\rho_{1}$ Density of the cork is given as $\rho$ In equilibrium: Weight of the...
Option I is the correct response.
(a) Wristwatches work on the principle of spring action and are not affected by gravity's acceleration. As a result, the time on the watch will be accurate. (b) The cabin's acceleration owing to...
Option (i) is the answer.
position of the particle, the radius of the circle, and the angular speed of the rotating particle. For simplicity, the sense of rotation may be fixed to be anticlockwise in every case: ( 
is in cm and 
is in 
.
(a) $x=-2 \sin (3 t+\pi / 3)$ $=2 \cos (3 t+\pi / 3+\pi / 2)$ $=2 \cos (3 t+5 \pi / 6)$ On comparing the above equation with the standard equation, $x=A \cos (\omega t+\Phi)$, Amplitude will be $A=2...
The action of ultraviolet radiation causes chlorofluorocarbons to dissociate, releasing the free chlorine radicle. U V radiations + CF2Cl2 + Cl + CFC Now that this Chlorine radicle has formed, it is...
, and the direction from left to right as the positive direction of -axis. Give as a function of time 
for the oscillating mass if at the moment we start the stopwatch (t 
, the mass is at the maximum compressed position. In what way do these functions for SHM differ from each other, in frequency, in amplitude or the initial phase?Solution: The body is in the left position at maximal compression, with an initial phase of $3 \pi / 2$ rad. Then, $x=a \sin (\omega t+3 \pi / 2)$ $=-a \cos \omega t$ $=-2 \cos 20 t$ As a result,...
The solution is option (i).
The solution is option (i).
The solution is option (iii).
Option (i) is the correct answer
It = /R is the current induced in the loop. BA = 1/R.d/dt It = 1/R.d/dt It = 1/R.d/d vBd/R = it The angle formed by B and A is equal to zero. At t = o, the switch S is closed. Q(t) = Cv is the...
is mounted on a horizontal table as shown in Fig. 14.24. A mass of 
is attached to the free end of the spring. The mass is then pulled sideways to a distance of 
and released.Determine the maximum speed of the mass. Solution: Spring constant is given as $\mathrm{k}=1200 \mathrm{~N} \mathrm{~m}^{-1}$ Mass is given as $\mathrm{m}=3 \mathrm{~kg}$ Displacement is given as...
. The length of the scale is 
A body suspended from this balance, when displaced and released, oscillates with a period of 
S. What is the weight of the body?Maximum mass that the scale can rea is given as $M=50 \mathrm{~kg}$ Maximum displacement of the spring = Length of the scale, $I=20 \mathrm{~cm}$ $=0.2 \mathrm{~m}$ Time period is given as $T=0.6...
of a particle involve simple harmonic motion?
The condition of SHM is stated below, Acceleration is directly proportional to negative of displacement of particle. If ' $\mathrm{a}$ ' is the acceleration, $\mathrm{x}$ is the displacement Then,...
(a) $\exp \left(-\omega^{2} \mathrm{t}^{2}\right)$ It's a one-time exponential function that doesn't repeat. As a result, the motion is non-periodic. (b) The given function $1+\omega t+\omega^{2}...
CO2 gas cannot be liquefied at a temperature which is greater than its critical temperature i.e 30.98°C even by applying any pressure. So as the given temperature is 32°C by applying a pressure of...
(i) Compressibility factor, Z is defined as the ratio of the product of pressure and volume to the product of the number of moles, gas constant and temperature. For an ideal gas, the value of Z is...
(a) The earth's rotation is not a to-and-fro motion around a fixed point. As a result, it is regular but not S.H.M. (b) Simple harmonic motion
(a) The motion of the swimmer is not regular. A swimmer's move between the sides of a river is to and fro. It does not, however, have a set duration. This is because the swimmer's back and forth...
Under a condition of low pressure and high temperature the assumption made by kinetic theory is true. At high temperature, the molecules will be very far from each other and at low pressure, the...
Hydrogen bonding and dipole-dipole interaction (HF-HF interaction) exists between HF molecule in a liquid state.
Thermal energy arises due to the motion of particles (atoms or molecules) in the body. If we increase the temperature then the kinetic energy of atom and molecule increases significantly and they...
The total pressure of the gas is Pmoist gas = Pdry gas By applying the correction term, we have: Pdry gas = Pmoist gas – Aqueous tension Therefore, the correction term applied to the total pressure...
H2O exists in three different states of matter. It exists in the solid form as ice, in the liquid form as water and as steam in the gaseous state. All of these states consist of water, due to which...
The correct options are (i) and (iv).
Answer: We know that the expression for bulk modulus is given as: Bulk modulus = Stress / Volume strain Bulk Modulus = pV/∆V For a perfectly rigid body, bulk modulus is B = pV/0 B =...
Answer: According to Hooke’s law, we know that the young's modulus is given as : Young’s modulus = Stress/ Longitudinal strain The Young's modulus is calculated as follows when the provided body is...
Option (ii) and (iii) are the correct statements.
The correct option is (ii) Decreases.
Answer: When identical steel and copper springs are stretched equally, force is given as: $ W\alpha \Delta l $ Because the springs are the same, their length and area will likewise be equivalent. $...
The correct option is (iii) Decrease.
Answer : The quantity of stress is neither a scalar nor a vector quantity. It's a tensor quantity, so it's a tensor quantity. This is due to the fact that stress equals the magnitude of the internal...
Answer: We know that the expression for Young’s modulus is given as: $ \frac{{{Y}_{steel}}}{{{Y}_{rubber}}}=\frac{Stres{{s}_{steel}}}{Stres{{s}_{rubber}}} $ Steel has a higher tensile stress when...
a) the same stress b) different stress c) the same strain d) different strain Answer: The correct answers are a) the same stress d) different strain EXPLANATION - Expression for the internal force...
a) the bulk modulus is infinite b) the bulk modulus is zero c) the shear modulus is infinite d) the shear modulus is zero Answer: The correct answers are a) the bulk modulus is infinite d) the shear...
a) mass m should be suspended close to wire A to have equal stresses in both the wires b) mass m should be suspended close to B to have equal stresses in both the wires c) mass m should be suspended...
a) tensile stress at any cross-section A of the wire is F/A b) tensile stress at any cross-section is zero c) tensile stress at any cross-section A of the wire is 2F/A d) tension at any...
a) material (ii) is more elastic than material (i) and hence material (ii) is more brittle b) material (i) and (ii) have the same elasticity and the same brittleness c) material (ii) is elastic over...
The tension in the strings will be a) the same in all cases b) least in a) c) least in b) d) least in c) Answer: The correct answer is c) least in b)
a) both the rods will elongate but there shall be no perceptible change in shape b) the steel rod will elongate and change shape but the rubber rod will only elongate c) the steel rod will elongate...
Answer : The correct option is (a).
Answer : The correct answer is b) Let T be tension in each wire.AS the bar is supported symmetrically by the three wires, therefore extension in each wire is same as Y = FL / AΔL If D is the...
Answer: The correct answer is c) longitudinal and shear The shape (shear) and length of a spring vary when it is stretched by a load. Shearing and longitudinal strain are therefore produced.
Answer : The correct answer is d) will decrease As Y= FL / AΔL when temperature is doubled, ΔL increases and accordingly Y decreases.
Answer : The correct answer is d) remains same Breaking force = Breaking stress ×Area of the cross-section. The area of cross-section of the wire does not change when the wire is sliced in half. As...
Answer : The correct answer is b) zero As we know that η = shearing strain / shearing stress and since liquids cannot sustain shearing stress Therefore, η = 0 in their case.
Answer : Answer : (a) If dissipative forces exist, some forces in the liquid flow due to pressure difference are expended against dissipative forces, resulting in a high-pressure drop. (b) Due to...
in still air. The Wind then starts blowing towards the petrol pump at 
Calculate the wavelength, speed, and frequency of the horn’s sound for a man standing at the petrol pump. Is this situation completely identical to a situation when the observer moves towards the truck at 
sand the air is still?For the standing observer: Frequency is given as $\mathrm{v}_{\mathrm{H}}=200 \mathrm{~Hz}$ Velocity of sound is given as $v=340 \mathrm{~m} / \mathrm{s}$ Speed of the wind is given as $v_{w}=20...