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Q.

A box of mass M is kept on a frictionless and inclined plane which is inclined at an angle θ  with the horizontal. A box is having another frictionless inclined plane, inclined at same angle θ with the previously described inclined plane as shown in the figure. If a block of mass m is kept on this inclined plane inside the box, then

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a

the acceleration of the block with respect to the box is (M+m)gsinθcosθM+msin2θ  towards the left side.

b

the acceleration of the block with respect to the box is (M+m)gsinθcosθM+msin2θ towards the right side.

c

the normal reaction between the box and the inclined plane is  m(M+m)gcosθM+msin2θ

d

the normal reaction between the box and the block is  Mmgcos2θM+msin2θ

answer is B, C, D.

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 Use concept of motion

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