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Question

The potential energy of a particle varies with distance x from a fixed origin as V=Axx+B where A and B are constants. The dimensions of AB are

A
[M1L5/2T2]
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B
[M1L2T2]
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C
[M3/2L5/2T2]
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D
[M1L7/2T2]
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Solution

The correct option is D [M1L7/2T2]
As B is added to x so, [B]=[x]=[L]
Also, [Ax]=[Vx]or[A=Vx] =ML2T2L1/2=ML5/2T2
Thus, [AB]=(ML5/2T2)(L)=[M1L7/2T2]

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