MHT CET20192 May 2019Morning ShiftPhysicsMechanical Properties of SolidsActual
Work done in stretching a wire through 1 m m is 2 J . What amount of work will be done for elongating another wire of same material, with half the length and double the radius of cross section, by 1 m m ?
Options
- A2 J
- B4 J
- C8 J
- D16 J
Correct answer
D. 16 J
Step-by-step solution
k = Y A l ∵ ω = 1 2 k x 2 2 = 1 2 Y π R 2 L 1 m m 2 (1) ω 1 = 1 2 Y π 2 R 2 L 2 1 m m 2 …(2) Equation (2) ÷ (1) ω 1 2 = 8 ⇒ ω ' = 16