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Q.

Two rods of same mass and same length lo but having different coefficient of expansions α and 3α are joined at P (see figure). System is placed on frictionless surface. If
temperature of whole system is changed by T, the displacement of junction point is
 

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a

l0αΔT2

b

lαΔT

c

34l0αΔT

d

2lαΔT

answer is C.

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Detailed Solution

Net force on the system is zero hence displacement of the centre of mass of the system will be zero.
Let x be the shift in P, then
ml2(1+αΔT)+x=ml2(1+3αΔT)xx=l0αΔT2
  (3

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