Q.

A scale made of material having coefficient of linear expansion αs  at  tiC. If  temperature is changed to t2t2>t1 then error in measurement of scale is

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a

ΔL=LαSΔt

b

ΔL=1LαSΔt

c

ΔL=LαsΔt

d

L=ΔLΔtα

answer is C.

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Detailed Solution

coefficient of linear expansion is αs=∆LL∆temperature ⇒∆L=αsL∆t here L is initial length of scale ∆L is change in length of scale  ∆t is change in temperature
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A scale made of material having coefficient of linear expansion αs  at  tiC. If  temperature is changed to t2t2>t1 then error in measurement of scale is