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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

`35^(@)C`

Text Solution

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The correct Answer is:
A
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At 50^(@)C , a brass rod has a length 50 cm and a diameter 2 mm . It is joined to a steel rod of the same length and diameter at the same temperature . The change in the length of the composite rod when it is heated to 250^(@)C is (Coefficient of linear expansion of brass = 2.0 xx 10^(-5)"^(@) C^(-1) , coefficient of linear expansion of steel = 1.2 xx 10^(-5) "^(@) C^(-1) )

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An iron sphere of radius 10 cm is at temperature , 10^(@)C . If the sphere is heated upto temperature 110^(@)C , find the change in the volume of the sphere coefficient of linear expansion of iron = 11 xx 10^(-6) .^(@)C^(-1)

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At 40^(@)C , a brass rod has a length 50 cm and a diameter 3.0 mm. it is joined to a steel rod of the same length and diameter at the same temperature. What is the change in the length of the composite rod when it is heated to 240^(@)C ? The coefficient of liear expansion of brass and steel are 2.0xx10^(-5).^(@)C^(-1) and 1.2xx10^(-5).^(@)C^(-1) respectively:

A steel tape 1m long is correctly calibrated for a temperature of 27^(@)C . The length of a steel rod measured by this tape is found to be 63.0cm on a hot day when the temperature is 45.0^(@)C . What is the acutual length of the steel rod on that day? what is the length of the same steel rod on a day when the temperature is 27.0^(@)C ? coefficient of linear expansion of steel = 1.20xx10^(-5) .^(@)C^(-1) .

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