The ratio of Young's modulus of the material of two wires is 2 : 3. If the same stress is applied on both, then the ratio of elastic energy per unit volume will be
Correct answer: A. 3 : 2
- A. 3 : 2
- B. 2 : 3
- C. 3 : 4
- D. 4 : 3
Explanation
The elastic energy per unit volume (u) is given by the formula u = (1/2) * stress2 / Young's modulus. Since the same stress is applied to both wires, the energy depends inversely on Young's modulus. Thus, if the ratio of Young's modulus is 2:3, the ratio of elastic energy per unit volume will be the inverse, which is 3:2. Therefore, Option A is correct. Options B, C, and D are incorrect because they either assume a direct relationship or provide a ratio that doesn't align with the inverse relationship.
Last updated
Related questions
A 4.0 m long wire is subjected to stretching force and its length increases by 40 cm. The percent elongation which the wire undergoes is:
A ball falling in a lake of 200 m shows a decrease of 0.1% in its volume. The bulk modulus of elasticity of the material of the ball is: (take g = 10 m/s²)
A ball falling in a lake of 200 m shows a decrease of 0.1% in its volume. The bulk modulus of elasticity of the material of the ball is: (take g =10 m/s2)
A block weighing 40 kg extends a spring by 0.16m from its unscratched position. What is the value of k?
A body floats in a liquid contained in a beaker. The whole system, as shown, falls freely under gravity. The upthrust on the body due to the liquid is: