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Q.

The gravitational force in a region is given by, F→=ayi^+axj^ The work done by gravitational force to shift a point mass m from (0,0,0) to (x0, y0, z0) is

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a

max0y0z0

b

max0y0

c

- max0y0

d

0

answer is B.

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Detailed Solution

W=∫F→⋅dr→=ma∫0x0y0z0 (yi^+xj^)(dxi^+dyi^)=ma∫d(xy)=ma(xy)
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The gravitational force in a region is given by, F→=ayi^+axj^ The work done by gravitational force to shift a point mass m from (0,0,0) to (x0, y0, z0) is