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The displacement bar(r ) of a charge Q i...

The displacement `bar(r )` of a charge Q in an electric field `E= e_(1) hat(i) + e_(2) hat(j) + e_(3) hat(k) " is " bar(r )= a hat(i) + b hat(j)`. The work done is

A

`Q(a e_(1) + b e_(2))`

B

`Q sqrt((a e_(1))^(2) + (b e_(2))^(2))`

C

`Q (e_(1) + e_(2)) sqrt(a^(2) + b^(2))`

D

`(e_(1)^(2) + e_(2)^(2)) (a + b)`

Text Solution

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The correct Answer is:
A
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