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A particle is moved from (0, 0) to (a, ...

A particle is moved from `(0, 0) to (a, a)` under a force `F =(x^(2)hati+y^(3)hatj)` from two paths. Path 1 si `OP` and Path 2 is `OQP`. Let `W_(1)` and `W_(2)` be the work done by this force in these two paths. Then

A

`W_(1)=W_(2)`

B

`W_(1)=2W_(2)`

C

`W_(2)=2W_(1)`

D

`W_(2)=4W_(1)`

Text Solution

Verified by Experts

The correct Answer is:
A
(a) Given force is a constant force and work done by a constant force is always path independent.
`:. " " W_(1)=W_(2)`
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