Same spring is attached with `2kg` , `3kg` and `1kg` blocks in three different cases as shown in figure. If `x_(1)` , `x_(2)` and `x_(3)` be the extensions in the soring in these cases then (Assume all the block s to move with uniform acceleration).

Options

A. `x_(1)=0` ,` x_(3)gtx_(2)`
B. `x_(2)gtx_(1)gtx_(3)`
C. `x_(3)gtx_(1)gtx_(2)`
D. `x_(1)gtx_(2)gtx_(3)`

Answer

B

Explanation

If `m_(1)` and `m_(2)` are masses of blocks then tension `T` in the string as well as spring are
`T=(2m_(1)m_(2))/(m_(1)+m_(2))g`
`T_(1)=2g` , `T_(2)=2.4g` and `T_(3)=1.33kg`
:. `T_(2)gtT_(1)gtT_(3)`
or `x_(2)gtx_(1)gtx_(3)`
`t=(v_(0))/(g)=((10//3))/(10)=(1)/(3)sec` .