A particle starts from rest from point P and follow a path PQ on the three smooth surfaces as shown in figures. If time taken by the particle in three cases are `t_(1), t_(2)` and `t_(3)` then

Options

A. `t_(1) gt t_(2) gt t_(3)`
B. `t_(3) gt t_(2) gt t_(1)`
C. `t_(3) gt t_(1) gt t_(3)`
D. `t_(1) = t_(2) = t_(3)`

Answer

B

Explanation

`L = (H)/(sin theta) = (1)/(2)g sin theta xx t^(2)`