First slide

Elastic behaviour of solids

Question

The force constant of a wire does not depend on

Moderate

A

Nature of the material
B

Radius of the wire
C

Length of the wire
D

None of the above

Solution

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

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