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...

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 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...

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...

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. $...

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)  

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 / A​ΔL 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 b) zero As we know that η = shearing strain / shearing stress​ and since liquids cannot sustain shearing stress Therefore, η = 0 in their case.