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An iron ball (coefficient of linear expa...

An iron ball (coefficient of linear expansion`=1.2xx(10^(-5)//^(@)C`) has a diameter of 6 cm and is 0.010 mm too large to pass through a hole in a brass plate (coefficient of linear expansion`=1.9xx10^-5//^(@)C`) when the ball and the plate are both at a temperature of `30^@C` At what common temperature of the ball and the plate will the ball just pass through the hole in the plate ?

A

`23.8^@C`

B

`53.8^@C`

C

`42.5^@C`

D

`63.5^@C`

Text Solution

Verified by Experts

The correct Answer is:
B
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An iron ball has a diameter of 6 cm and is 0.010 mm too large to pass through a hole in a brass plate when the ball and plate are at a temperature of 30^@ C . At what temperature, the same for ball and plate, will the ball just pass through the hole? Take the values of (prop) from Table 20 .2 .

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RESNICK AND HALLIDAY-TEMPERATURE, ZEROTH LAW OF THERMODYNAMICS AND THERMAL EXPANSION -PRACTICE QUESTIONS (Single Correct Choice Type)
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  15. A steel rod of length L0 . has a cross sectional area A. The force re...

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  18. An iron rod of length 50 cm is joined at an end to an aluminum rod of ...

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