Asseration : Displacement time graph of a particle moving in a straight line is shown in figure. Work done by all the forces between time interval `t_(1)` and `t_(2)` is definitely zero.
,
Reason : Work done by all the forces is equal to change in kinetic energy.

Options

A. If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.
B. If both Assertion and Reason are true and the Reason is not the correct explanation of the Assertion.
C. If Assertion is true, but the Reason is false
D. If Assertion is false but the Reason is true.

Answer

D

Explanation

`W_(All) =DeltaK =K_(f)-K_(i)`
`=1/2m(v_(f)^(2)-v_(i)^(2))`
`v_(f) =v_(t_2) =`Slope of `s-t` graph at `t_(2)`
`v_(i) =v_(t_1)=slope of st graph at t_(1)`
these two slopes are not necessarily equal.