Question

Show that:  T=I/Y

Answer 1

Show that

$T=\frac{l}{Y}$

We know that

Normal stress=$\frac{mg}{\pi r^2}$

Longitudinal strain=$\frac{l}{L}$

Young modules constant =(normal stress /longitudinal strain)

$Y=\frac{mgL}{\pi r^2l}\rightarrow(1)$

Where

$T=mg$

Let us assume wire lenth L=1 m and area(A)= 1m² then we can written as

$\frac{L}{\pi r^2}=1m$

Put value equation (1)

Then we can written as

$Y=\frac{l}{T}$

$T=\frac{l}{Y}$

Hence proved