Consider a wire of radius r and length 2L stretched between two supports A and B without any tension. Now, it is stretched to form AOB as shown in the figure below.The tension is the wire now becomes `(Cy_(r^(2))d^(2))/(L^(2))` where Y is Young's modulus of wire. Now, what is C=? (Take `pi=3.14`)

Answer

`01.57`

Explanation

`T=(YAl)/L`
Increase in length of one segment of wire
`:.T=(Ypir^(2)d^(2))/(2L^(2))`
`impliesC=(pi)/2=3.14/2=1.57`