Physics Elasticity Question 50

Question: Two wires of same diameter of the same material having the length l and 2l. If the force F is applied on each, the ratio of the work done in the two wires will be

[MP PET 1989]

Options:

A) 1 : 2

B) 1 : 4

C) 2 : 1

D) 1 : 1

Show Answer

Answer:

Correct Answer: A

Solution:

$ W=\frac{1}{2}Fl $ \ $ W\propto l $ (F is constant) \ $ \frac{W _{1}}{W _{2}}=\frac{l _{1}}{l _{2}}=\frac{l}{2l}=\frac{1}{2} $