Properties Of Solids And Liquids Question 497

Question: If a cylinder of diameter 1.0 cm at 30°C is to be solid into a hole of diameter 0.9997 cm in a steel plate at the same temperature, then minimum required rise in the temperature of the plate is : (Coefficient of linear expansion of steel $ =12\times {{10}^{-6}}/{}^\circ C $ ) [EAMCET 2001]

Options:

A) 25°C

B) 35°C

C) 45°C

D) 55°C

Show Answer

Answer:

Correct Answer: A

Solution:

$ \alpha =\frac{\Delta L}{L _{0}\Delta \theta }=\frac{(1-0.9997)}{0.9997\times 12\times {{10}^{-6}}}=25{}^\circ C $



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