If S is strain and Y is Young's modulus of elasticity of wire material, then energy stored in the wire per unit volume is
Correct answer: A. s2 /2y
- A. s2 /2y
- B. 2y/s2
- C. s/2y
- D. 2s2y
Explanation
The energy stored per unit volume in a wire under elastic deformation is given by the formula U = (1/2) * Y * S2, where U is the energy per unit volume, Y is Young's modulus, and S is the strain. Rearranging this formula gives U = S2 / (2Y). The correct answer is thus s2 / 2y. Option B is incorrect because it inverts the relationship between Young's modulus and strain. Option C is incorrect because it does not square the strain, and Option D is incorrect because it incorrectly multiplies the variables.
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: