Initially the spring is undeformed. Now the force F is applied to B as shown in the figure. When the displacement of B w.r.t. A is x towards right in some time then therelative acceleration of B w.r.t. A at that moment is

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F2m

F−kxm

F−2kxm

none of these

answer is C.

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Detailed Solution

F−kx=mb and kx=ma Hence m(b−a)=F−2kx or b−a=F−2kxm

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