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Q.

Two rods of the same length, have radii in the ratio 3:4. Their densities are respectively 8000 and 9000 kg/m3. Their specific heats are in the ratio of 2:3. When the same amount of heat is supplied to both, the changes in their lengths are in the ratio. (If their linear coefficients are in the ratio 5:6)

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a

1:1

b

5:2

c

5:12

d

12:5

answer is B.

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Detailed Solution

Q=msΔq,m=rpr2lΔq=Δla⇒Δ1Δ2=r2r1×r22r12×s2s1×a1a2
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Two rods of the same length, have radii in the ratio 3:4. Their densities are respectively 8000 and 9000 kg/m3. Their specific heats are in the ratio of 2:3. When the same amount of heat is supplied to both, the changes in their lengths are in the ratio. (If their linear coefficients are in the ratio 5:6)