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

A particle is moved from (0, 0) to (a, a) under a force a `F=(3hat(i)+4hat(j))` from two paths. Path 1 is OP and path 2 is OPQ. 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_(1) = 4W_(2)`

Text Solution

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The correct Answer is:
`(1)`
Conceptual
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Knowledge Check

  • A particle is movbed 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_(2)`
    D
    `W_(2)=4W_(1)`

  • A particle is moved from (0,0) to (a, a) under a force vecF = (3hati +4hatj) from two paths. Path 1 is OP and path 2 is OQP. Let W and W be the work done by this force in these two paths.Then

    A
    W = W2
    B
    W = 2W
    C
    W = 2W
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    W = 4W

  • A particle is moved from (0,0) to (a,a) under a force bar F = (3hati + 4hatj) and path 2is OQP .Let W_(1) and W_(2) be the work by done this force in these to paths .Then .

    A
    `W_(1) = W_(2)`
    B
    `W_(1) = 2W_(2)`
    C
    `W_(2) = 2W_(1)`
    D
    `W_(2) =4 W_(1)`

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