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 α 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

3α/PK

3PKα

P/3αK

P/αK

Solution

P/3αK

Due to thermal expansion
$fraction numerator increment straight v over denominator straight v end fraction space equals space 3 straight alpha increment straight T Due space to space External space pressure fraction numerator increment straight v over denominator straight v end fraction space equals space straight P over straight K equating space both space straight W subscript 1 space get 3 straight alpha space increment straight T space equals space straight P over straight K increment straight T space equals space fraction numerator straight P over denominator 3 αK end fraction$

Some More Questions From Mechanical Properties of Fluids Chapter

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Mechanical Properties Of Fluids

Some More Questions From Mechanical Properties of Fluids Chapter

What is periodic motion?

What is an oscillatory motion?

What is time period?

Define frequency.

What is the condition for motion to be simple harmonic motion?

In the displacement equation y = r sin(ωt/ + ϕ) what does ϕ called and what information does it give?

What determines the natural frequency of an oscillator?

Is there any relation between uniform circular motion and simple harmonic motion?

What is periodic motion?

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