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If a cylinder of diameter 1.0cm at 30^(@...

If a cylinder of diameter `1.0cm` at `30^(@)C` is to be slid into a hole of diameter `0.9997 cm` in a steel plate at the same temperature, the minimum required rise in the temperature of the plate is: (Coefficient of linear expansion of steel`= 12 xx 10^(-6//@)C`)

A

`25^@ C`

B

`35^@ C`

C

`45^@ C`

D

`55^@ C`

Text Solution

Verified by Experts

The correct Answer is:
A
Since, `Delta l = l_0 alpha Delta theta`
`rArr Delta theta = (Delta l)/(alpha l_0) = (1-0.9997)/(0.9997 xx 12 xx 10^(-6)) = 25^@ C.`
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