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An aluminium measuring rod, which is cor...

An aluminium measuring rod, which is correct at `5^@C` measures the length of a line as 80 cm at `45^@C` If thermal coefficient of linear expansion of aluminium is `2.50xx10^(-4)//^@C`, the correct length of the line is:

A

80.08 cm

B

79.92 cm

C

81.12 cm

D

79.62 cm

Text Solution

Verified by Experts

The correct Answer is:
A
The 80 cm mark on the aluminium rod is really at a greater distance fron the zero position than indicated because of the increase in temperature `Deltatheta=40^@C`. The increase Length is
`DeltaL=alpha_(A1)L_(A1)Deltatheta`
`=(2.50xx10^-5)(80)(40)`
`=0.08cm`
The correct length of the line is
`L=80+0.08=80.08cm`
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Knowledge Check

  • The coefficient of volumetric expansion of lamina is 3xx10^(-5)//""^(@)C . Its coefficient of linear expansion will be:

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