Home
Class 11
PHYSICS
An external pressure P is applied on a c...

An external pressure P is applied on a cube at `0^@C` so that it is equally compressed from all sides . K is the bulk modulus of the material of the cube and a is its coefficient of linear expansion. Suppose we want to bring the cube to its original size by heating . The temperature should be raised by

A

`P/(3aK)`

B

`P/(aK)`

C

`(3a)/(PK)`

D

3PKa

Text Solution

Verified by Experts

The correct Answer is:
A
Bulk modulus , `K=P/(((DeltaV)/V))`
` therefore(DeltaV)/V=P/K`[`DeltaV`= change in volume]
If we bring back the cube to its original size by increasing the temperature `Deltat`,
`DeltaV=V-gammaDeltat`
or,`Deltat=(DeltaV)/V.l/gamma=(DeltaV)/V.1/(3a)=P/(3ka)`
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIVE WITH SOLUTIONS (AIPMT)|2 Videos

  • ELASTICITY

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIVE WITH SOLUTIONS (NEET)|2 Videos

  • ELASTICITY

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIVE WITH SOLUTIONS (WBJEE)|3 Videos

  • DOPPLER EFFECT IN SOUND

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|2 Videos

  • EXPANSION OF GASES

    CHHAYA PUBLICATION|Exercise CBSE Scanner|1 Videos

Similar Questions

Explore conceptually related problems

An external pressure P is applied on cube at 0" "^(@)C so that it is equally compressed from all sides. K is the bulk modulus of the material of the cube and alpha is its coefficient of linear expansion. Suppose we want to bring the cube to its original size by heating. The temperature should be raised by

The temperature of a steel rod is increased by 15^(@)C .To resist its expansion in length, what stress should be applied? Young's modulus (Y) for steel =2 times 10^(12)dyn*cm^(-2) and its coefficient of linear expansion, alpha=1.2 times 10^(-5@)C^(-1) .

The length of the steel structure of a bridge is 0.5 km and it has to withstand temperature change from 44^(@)F to 116^(@)F . What allowance should be kept for its expansion if the coefficient of linear expansion of steel is 1 times 10^(-5@)C^(-1) ?

A man has an antique pendulum clock of 1832 which bears the signature of the purchaser. He does not want to replace it in the fond memory of his great-grandparents. It ticks off one second in each side to side swing. It keeps correct time at 20^(@)C . The pendulum shaft is made of steel and its mass can be ignored as compared to the mass of the bob. Linear expansion coefficient of steel is 1.2xx10^(-5@)C^(-1) How closely must the temperature be controlled so that it does not gain or lose more than a second in a day?