Physics Elasticity Question 109

Question: The force constant of a wire does not depend on

Options:

A) Nature of the material

B) Radius of the wire

C) Length of the wire

D) None of the above

Show Answer

Answer:

Correct Answer: D

Solution:

$ K=\frac{YA}{L}=\frac{Y\times \pi r^{2}}{L}\Rightarrow K\propto \frac{Yr^{2}}{L} $ i.e. force constant of a wire depends on young’s modules (nature of the material), radius of the wire and length of the wire.