Question

if area of the wire increases then what effect on Young's modulus

Answer 1

It is defined as ratio of normal stress to longitudinal strain within the limit of proportionality. elongation: it is inversely proportional to Young's modulus. Effect of temperature : In general as the temperature increases the elastic property of a material decreases.

Answer 2

Answer: As the area of the wire increases, the young's modulus decreases.

Explanation:

Young's modulus is the ratio of longitudinal stress and the strain. the equation for Young's modulus is given by:

$Y=\frac{\sigma}{\epsilon}$     ....(1)

where,

$\sigma$ = longitudinal stress = $\frac{F}{A}$  where, F = force and A = area of cross section

$\epsilon$ = strain = $\frac{\Delta l}{l}$ which is the change in length of the wire.

Putting these values in equation 1, we get:

$Y=\frac{F}{A}\frac{l}{\Delta l}$

As, young's modulus is inversely proportional to the area of cross section of wire. So, if we increase the area of cross section, Young's modulus decreases and vice-versa.

Hence, the area of the wire increases, the young's modulus decreases.