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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 ΔT , the displacement of junction point is 1/n times loαΔT , where n is _____
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answer is 2.

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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 
mlo21+αΔT+x=mlo21+3αΔTx
x=l0αΔT2

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