In the figure (i) a uniform string is fixed at one end and the other end is pulled by a tension T. another force T acts at mid point of the string. In figure (ii) another identical string is pulled by tension T at both the ends. The ratio of elongation in equilibrium of string (i) to the elongation of string in (ii) is

Options

A. `1:2`
B. `2:1`
C. `2:3`
D. `3:2`

Answer

4

Explanation

`(i) T=2kx_(1) " " 2T =2kx_(2)`
`:. " " x_(1)+x_(2)=T/(2K)+T/(2k)=(3T)/(2k)`
`(ii) x=T/k`