Q.

A cylindrical metal rod M stands on the table. Also standing on the table is a cylinder L containing a liquid. The cylinder L is made of a glass called "invar", which does not expand or contract on change in temperature. Suppose the temperature of the room is increased with corresponding uniform increase in temperature of both systems L and  M. Both the metal and the liquid undergo expansion with increase in temperature. 

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a

The pressure at the bottom of the liquid in L will remain unchanged as the temperature changes

b

The pressure at the bottom of M will decrease slightly as the rod expands

c

The pressure at the bottom of M will remain exactly same as the rod gets longer

d

The pressure at the bottom of the liquid in L will increase as the temperature increases

answer is B, D.

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Detailed Solution

For cylinder M, P = WeightBase area. Weight remains unchanged and base area increases with rise in temperature . For the liquid L,initial pressure Pi=ρgh and final pressure  Pf=ρ(1+α.T)×g×h(1+α.T) =ρgh 

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