Q.

Two iron rods have their lengths in the ratio 5:3 and diameters in the ratio 2:1. When the rods are heated from 300C to 1000C the ratio of their expansions is

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5:3

3:5

5:6

6:5

answer is 1.

(Detailed Solution Below)

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Detailed Solution

given lengths ratio is l1l2 =53 ;diameters ratio is r1r2=21 Δt=sameα=same α=∆ll∆t as Δt=sameα=same ∆l α l substitute the given ratio ∆l1∆l2=l1l2 =53 Does not depend on radius in linear expansion

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