Lakhmir Singh

. Thermodynamics essentially manages (I) interrelation of different types of energy and their change from one structure to another. (ii) energy changes in the cycles which rely just upon starting and last conditions of the minute frameworks containing a couple of particles. (iii) how and at what rate these energy changes are done. (iv) the framework in harmony state or moving from one balance state to another harmony state.

solution:   Alternative (I) and (iv) are the appropriate responses. Thermodynamics manages interrelation of different types of energy and their change into one another. It additionally manages...

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. Which of coming up next isn’t right? (I) ∆G is zero for a reversible response (ii) ∆G is positive for an unconstrained response (iii) ∆G is negative for an unconstrained response (iv) ∆G is positive for a non-unconstrained response

solution:   Alternative (ii) is the appropriate response.   ∆G gives a basis for suddenness at consistent strain and temperature.   (I) If ∆G is negative (< 0). the cycle is...

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The entropy change can be determined by utilizing the articulation

    \[S\text{ }=\text{ }qrev/T\]

At the point when water freezes in a glass container, pick the right assertion among the accompanying : (I) ∆S (framework) diminishes however ∆S (environmental factors) stays as before. (ii) ∆S (framework) increments yet ∆S (environmental elements) diminishes. (iii) ∆S (framework) diminishes yet ∆S (environmental elements) increments. (iv) ∆S (framework) diminishes and ∆S (environmental factors) likewise diminishes.

solution:   Alternative (iii) is the appropriate response. During the method involved with freezing energy is released,which is consumed by the environmental factors. Therefore,the entropy off...

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An electric iron is connected to the mains power supply of 220V. When the electric iron is adjusted at ‘minimum heating’ it consumes a power of 360W but at ‘maximum heating’ it takes a power of 840W. Calculate the current and resistance in each case.

Answer Given, 220 volts 360W = Pmin 840 W (Pmax) When the heat is turned down to a bare minimum, VI = Pmin I220 = 360 1.63 amps I V/I = R R = 1.63/1.63/1.63/1.63/1.63/1.63 134.96 ohms R = 134.96...

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Two exactly similar heating resistances are connected in series and in parallel in two different circuits one by one. If the same current is passed through both the combinations, is more heat obtained per minute when they are connected in series or when they are connected in parallel? Give reason for your answer.

Answer More heat is obtained each minute when the heating resistances are connected in series. This is due to the fact that the overall resistance in a series configuration is higher than the total...

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In an adiabatic interaction, no exchange of warmth happens among framework and environmental elements. Pick the right choice with the expectation of complimentary extension of an optimal gas under adiabatic condition from the accompanying.

    \[\begin{array}{*{35}{l}}    \left( I \right)\text{ }q\text{ }=\text{ }0,\text{ }T\text{ }\ne \text{ }0,\text{ }w\text{ }=\text{ }0  \\    ~  \\    \left( ii \right)\text{ }q\text{ }\ne \text{ }0,\text{ }T\text{ }=\text{ }0,\text{ }w\text{ }=\text{ }0  \\    ~  \\    \left( iii \right)\text{ }q\text{ }=\text{ }0,\text{ }T\text{ }=\text{ }0,\text{ }w\text{ }=\text{ }0  \\    ~  \\    \left( iv \right)\text{ }q\text{ }=\text{ }0,\text{ }T\text{ }<\text{ }0,\text{ }w\text{ }\ne \text{ }0  \\ \end{array}\]

solution:   Choice (iii) is the appropriate response. With the expectation of complimentary extension w = 0 For adiabatic cycle q = 0 From first law of thermodynamics,  ...

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The electrical resistivities of four materials P, Q, R, and S are given below: P: 6.84 × 10-8Ωm Q: 1.70 × 10-8Ωm R: 1.0 × 1015Ωm S: 11.0 × 10-7Ωm Which material will you use for making: a) heating element of electric iron b) connecting wires of electric iron c) covering of connecting wires Give reason for your choice in each case.

Answer a) An electric iron's heating element is S, which has a high resistance. This is a nichrome substance. b) An electric iron's connecting wires are Q because they have a low resistance. Copper...

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a) Derive the expression for the heat produced due to a current I flowing for a time interval t through a resistor R having a potential difference V across its ends. With which name is this relation known? b) How much heat will an instrument of 12W produce in one minute if it is connected to a battery of 12V? c) The current passing through a room heater has been halved. What will happen to the heat produced by it? d) What is meant by the heating effect of current? Give two applications of the heating effect of current. e) Name the material which is used for making the filaments of an electric bulb.

Answer a) The amount of work done when an electric charge Q moves against a potential difference V is: W = Q V = W = Q V = W = Q V = W = Q V (1) We all know that current I = Q/T. IT = Q (2)...

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Which of the accompanying assertions is right? (I) The presence of responding species in a covered measuring utencil is an illustration of an open framework. (ii) There is a trade of energy just as a matter between the framework also, the environmental elements in a shut framework. (iii) The presence of reactants in a shut vessel made down of copper is an illustration of a shut framework. (iv) The presence of reactants in a canteen jar or some other shut protected vessel is an illustration of a shut framework.

solution: Alternative (iii) is the appropriate response. For a shut vessel made down of copper, regardless of can be traded between the framework and the environmental elements however energy trade...

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c) What is the potential difference between the terminals of a battery if 250 joules of work is required to transfer 20 coulombs of charge from one terminal of battery to the other?
d) What is a voltmeter? How is a voltmeter connected in the circuit to measure the potential difference between two points. Explain with the help of a diagram.

c) Given, Work done = 250J Charge moved = 20C To find Potential difference We know that potential difference is given as Potential difference = (Work done)/(Charge moved) p.d = (250)/(20) = 12.5...

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A rope of negligible mass is wound around a hollow cylinder of mass 3 \mathbf{k g} and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N? What is the linear acceleration of the rope? Assume that there is no slipping.

Mass of the hollow cylinder is given as $m=3 \mathrm{~kg}$ Radius of the hollow cylinder is given as $r=40 \mathrm{~cm}=0.4 \mathrm{~m}$ So, force applied will be $F=30 \mathrm{~N}$ Calculating the...

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(a) A child stands at the centre of a turntable with his two arms outstretched. The turntable is set rotating with an angular speed of 40 \mathrm{rev} / \mathrm{min}. How much is the angular speed of the child if he folds his hands back and thereby reduces his moment of inertia to 2 / 5 times the initial value? Assume that the turntable rotates without friction
(b) Show that the child’s new kinetic energy of rotation is more than the initial kinetic energy of rotation. How do you account for this increase in kinetic energy?

(a) Initial angular velocity, is given as $\omega_{1}=40 \mathrm{rev} / \mathrm{min}$ Suppose the final angular velocity be $\omega_{2}$ Let the moment of inertia of the boy with stretched hands be...

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A solid cylinder of mass 20 \mathrm{~kg} rotates about its axis with angular speed 100 \mathrm{rad} \mathrm{s}^{-1}. The radius of the cylinder is 0.25 \mathrm{~m}. What is the kinetic energy associated with the rotation of the cylinder? What is the magnitude of angular momentum of the cylinder about its axis?

Mass of the cylinder is given as $m=20 \mathrm{~kg}$ Angular speed is given as $\omega=100 \mathrm{rad} \mathrm{s}^{-1}$ Radius of the cylinder is given as $r=0.25 \mathrm{~m}$ So, the moment of...

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(a) Find the moment of inertia of a sphere about a tangent to the sphere, given the moment of inertia of the sphere about any of its diameters to be 2 \mathrm{MR}^{2} / 5, where M is the mass of the sphere and \mathbf{R} is the radius of the sphere.
(b) Given the moment of inertia of a disc of mass M and radius \mathbf{R} about any of its diameters to be \mathrm{MR}^{2} / 4, find its moment of inertia about an axis normal to the disc and passing through a point on its edge.

The moment of inertia of a sphere about its diameter is $=2 \mathrm{MR}^{2} / 5$ and is also shown in the figure, As the the theorem of parallel axes says, M.I of a sphere about a tangent to the...

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A 2 \mathrm{~m} irregular plank weighing \mathrm{W} \mathrm{kg} is suspended in the manner shown below, by strings of negligible weight. If the strings make an angle of 35^{0} and 55^{\circ} respectively with the vertical, find the location of center of gravity of the plank from the left end.

Following is the FBD(Free Body Diagram) for the above figure: Length of the plank is given as $\mid=2 \mathrm{~m}$ $\theta_{1}=35^{\circ}$ and $\theta_{2}=55^{\circ}$ Let the tensions produced in...

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Two particles, each of mass m and speed v, travel in opposite directions along parallel lines separated by a distance d. Show that the angular momentum vector of the two-particle system is the same whatever be the point about which the angular momentum is taken

Considering three points $Z, C$ and $X$ : Angular momentum at Z will be given as, $\mathrm{Lz}=\mathrm{mv} \times 0+\mathrm{mv} \times \mathrm{d}$ $=\mathrm{mvd}-(1)$ Angular momentum about $x$ will...

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A child sits stationary at one end of a long trolley moving uniformly with a speed \mathbf{V} on a smooth horizontal floor. If the child gets up and runs about on the trolley in any manner, what is the speed of the CM of the (trolley + child) system?

The child and the trolley are one system, and the youngster's movement within the cart is entirely internal. The velocity of the system's centre of mass will not change because there is no external...

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A star 2.5 times the mass of the sun and collapsed to a size of 12 km rotates with a speed of 1.2 rev. per second. (Extremely compact stars of this kind are known as neutron stars. Certain stellar objects called pulsars belong to this category). Will an object placed on its equator remain stuck to its surface due to gravity? (mass of the sun =2 \times 10^{30} \mathrm{~kg} ).

If the outward centrifugal force is lesser than the inward gravitational pull, any matter will remain stuck to the surface. Gravitational force is given by the relation: $f_{G}=\frac{G M m}{R^{2}}$...

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Two stars each of one solar mass \left(=2 \times 10^{30} \mathrm{~kg}\right) are approaching each other for a headon collision. When they are a distance 10^{9} \mathrm{~km}, their speeds are negligible. What is the speed with which they collide? The radius of each star is 10^{4} \mathrm{~km} . Assume the stars to remain undistorted until they collide. (Use the known value of G).

Mass of each star is given as $M=2 \times 10^{30} \mathrm{~kg}$ Radius of each star is given as $R=10^{4} \mathrm{~km}=10^{7} \mathrm{~m}$ Distance between the stars is given as $r=10^{9}...

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A comet orbits a sun in a highly elliptical orbit. Does the comet have a constant
(a) linear speed,
(b) angular speed,
(c) angular momentum,
(d) kinetic energy,
(e) potential energy,
(f) total energy throughout its orbit? Neglect any mass loss of the comet when it comes very close to the sun.

A comet in an elliptical orbit around the Sun has constant angular momentum and total energy owing to the Law of Conservation of Energy at all locations, but other variables change. The torque...

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Choose the correct alternative:
(a) If the zero of potential energy is at infinity, the total energy of an orbiting satellite is negative of its kinetic/potential energy.
(b) The energy required to launch an orbiting satellite out of earth’s gravitational influence is more/less than the energy required to project a stationary object at the same height (as the satellite) out of earth’s influence.

(a) The total energy of an orbiting satellite is negative of its kinetic energy if the zero potential energy is at infinity. (b) The energy required to launch an orbiting satellite out of Earth's...

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Choose the correct alternative:
(a) Acceleration due to gravity is independent of the mass of the earth/mass of the body.
(b) The formula -G\mathrm{M} \mathbf{m}\left(1 / \mathbf{r}_{2}-1 / \mathbf{r}_{1}\right) is more/less accurate than the formula \mathrm{mg}\left(\mathrm{r}_{2}-\mathrm{r}_{1}\right) for the difference of potential energy between two points r_{2} and r_{1} distance away from the centre of the earth.

(a) Acceleration due to gravity is given by the formula: $g=G{{M}_{e}} /{{ {R}_{e}}^{2}}$ is​​ Hence, it is independent of mass of body, but is dependent on mass of earth. (b) Gravitational...

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Answer the following: If you compare the gravitational force on the earth due to the sun to that due to the moon, you would find that the Sun’s pull is greater than the moon’s pull. (you can check this yourself using the data available in the succeeding exercises). However, the tidal effect of the moon’s pull is greater than the tidal effect of the sun. Why?

Tidal effects are inversely proportional to the cube of distance, whereas gravitational force is inversely proportional to the square of distance. The moon will have a stronger influence on the...

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The period number in the long form of the periodic table is equal to
(i) magnetic quantum number of any element of the period.
(ii) an atomic number of any element of the period.
(iii) maximum Principal quantum number of any element of the period.
(iv) maximum Azimuthal quantum number of any element of the period.

Option (iii) is the answer. Period number = maximum n of any element where 'n' stands for the principle quantum number. It determines the element's period number. Mg, for example, has a maximum main...

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Write the balanced chemical equation for the following reactions.
1. Calcium hydroxide + Carbon dioxide —-> Calcium carbonate + Water
2. Zinc + Silver nitrate —-> Zinc nitrate + Silver
3. Aluminium + Copper chloride —-> Aluminium chloride + Copper
4. Barium chloride + Potassium sulphate —-> Barium sulphate + Potassium chloride

Answer: When solving an equation for a chemical reaction, a balanced equation is one where the number of atoms for each element in the reaction, as well as the total charge, for both the reactants...

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Translate the following statements into chemical equations and balance them. (c) Barium chloride reacts with aluminium sulphate to give Aluminium chloride and a precipitate of barium sulphate. (d) Potassium metal reacts with water to give potassium hydroxide and Hydrogen gas.

Answer: (c)  Unbalanced: BaCl2 + Al2(SO4)3 → AlCl3 + BaSO4 Balanced: 3BaCl2 + Al2(SO4)3 → 2AlCl3 + 3BaSO4 (d) Unbalanced: K + H2O → KOH + H2 Balanced:  2K + 2H2O → 2KOH +...

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What happens when dilute hydrochloric acid is added to iron fillings? Tick the correct answer.
1. Hydrogen gas and Iron chloride are produced.
2. Chlorine gas and Iron hydroxide are produced.
3. No reaction takes place.
4. Iron salt and water are produced.

Answer: Option 1) is correct. An explanation is given below. The Chlorine from Hydrogen chloride is displaced by the Iron fillings, resulting in the subsequent reaction. 2HCl + Fe → FeCl2 +...

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Which of the statements about the reaction below are incorrect? 2PbO(s) + C(s) → 2Pb(s) + CO2(g)
(a) Lead is getting reduced
(b) Carbon Dioxide is getting oxidised
(c) Carbon is getting oxidised
(d) Lead oxide is getting reduced
(i) (a) and (b)
(ii) (a) and (c)
(iii) (a), (b) and (c)
(iv) all

Answer: With the aforementioned reaction, lead oxide (PbO) is reduced to lead and carbon (C) is oxidised to form carbon dioxide (CO2). As a result, both statements (a) and (b) are correct. As a...

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Write a balanced chemical equation with state symbols for the following reactions
i) Solutions of Barium chloride and Sodium sulphate in water react to give insoluble Barium sulphate and solution of Sodium chloride.
ii) Sodium hydroxide solution in water reacts with hydrochloric acid solution to produce Sodium chloride solution and water.

Answer: A chemical equation represents a chemical process as a collection of substances. A balanced chemical equation has the same number of atoms on both sides of the equation. i) BaCl2 + Na2SO4 →...

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Which of the following correctly describes the magnetic field near a long straight wore? a) the field consists of straight lines perpendicular to the wire b) the field consists of straight lines parallel to the wire c) the field consists of radial lines originating from the wire d) the field consists of concentric circles centered on the wire

Answer: The correct option is d) the field consists of concentric circles centered on the wire Explanation: In magnetism and electricity, a straight wire or conductor forms concentric magnetic...

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The strength of the magnetic field between the poles of an electromagnet would be unchanged if: a) current in the electromagnet winding were doubled b) direction of current in electromagnet were reversed c) distance between the poles of electromagnet were doubled d) material of the core of electromagnet were changed

Answer: The correct option is b) direction of current in electromagnet were reversed. Answer: The electromagnetic winding's current direction is reversed only on one side of the pole. The magnetic...

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The phenomenon of electromagnetic induction is: a) the process of charging a body b) the process of generating magnetic field due to a current passing through a coil c) producing induced current in a coil due to relative motion between a magnet and the coil d) the process of rotating a coil of an electric motor

Answer: The correct option is c) producing induced current in a coil due to relative motion between a magnet and the coil Explanation: According to Faraday's Law of electromagnetic induction, a...

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A horizontal wire carries a current as shown in figure below between magnetic poles N and S: Is the direction of the force on the wire due to the magnet: a) in the direction of the current b) vertically downwards c) opposite to the current direction d) vertically upwards

Answer: The correct answer is d) vertically upwards Explanation: Using Fleming's left-hand rule, the wire's force acts vertically upward. The index finger indicates the direction of the magnetic...

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A current flows in a wire running between the S and N poles of a magnet lying horizontally shown in the figure below:The force on the wire due to the magnet is directed: a) from N to S b) from S to N c) vertically downwards d) vertically upwards

Answer: The correct option is c) vertically downwards Explanation: Using Fleming's left-hand rule, the force on the wire should be vertical. The index finger indicates the direction of the magnetic...

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An electron beam enters a magnetic field at right angles to it as shown in the figure: The direction of force acting on the electron beam will be: a) to the left b) to the right c) into the page d) out of the page

Answer: The correct option is c) into the page Explanation: Using Fleming's left-hand rule, the electron beam will be forced into the paper. The index finger indicates the direction of the magnetic...

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An induced current is produced when a magnet is moved into a coil. The magnitude of induced current does not depend on: a) the speed with which the magnet is moved b) the number of turns of the coil c) the resistivity of the wire of the coil d) the strength of the magnet

Answer: The correct option is b) Explanation: The induced emf is represented by: e=-NAd(B)dt e=-N A \frac{d(B)}{d t} Here, $N$ is the number of turns of the coil, $A$ is the area of the coil, and...

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The north pole of a long bar magnet was pushed slowly into a short solenoid connected to a galvanometer. The magnet was held stationary for a few seconds with the north pole in the middle of the solenoid and then withdrawn rapidly. The maximum deflection of the galvanometer was observed when the magnet was: a) moving towards the solenoid b) moving into solenoid c) at rest inside the solenoid d) moving out of the solenoid

Answer: The correct option is d) moving out of the solenoid Explanation: The galvanometer displays no deflection when the bar magnet is fixed. A galvanometer shows deflection when the north pole of...

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