Question

When a tension 'F' is applied, the elongation
produced in the uniform wire of length L, radius r is e
when tension 3 F is applied, the elongation
produced in another uniform wire of length 3 L and
radius 3 r, made of the same material is
1​

Answer 1

Answer:

Lets consider x be the elongation produce in wire when 2F is applied of radius 2r and length 2l.

The material of wire is same, so young's modulus is equal.

Y=Y′

e/lF/A​=x/2l2F/A′​

Ae1​=A′x4​

πr2.e1​=4πr2.x4​

e1​=x1​

x=1.0e

The correct option is B.

Explanation: