Compute the fractional change in volume of a glass slab, when subjected to a hydraulic pressure of 10 atm.

Asked by Abhisek | 1 year ago |  92

1 Answer

Solution :-

Given,

Pressure acting on the glass plate, p = 10 atm 

= 10 × 1.013 × 105 Pa

We know,

Bulk modulus of glass, B = 37 × 109 Nm–2

= Bulk modulus, B = p / (∆V/V)

Where,

\( \dfrac{∆V}{V}\) = Fractional change in volume

\( \dfrac{∆V}{V}\)\( \dfrac{p}{B}\)

\( \dfrac{10 × 1.013 × 10^5}{(37 × 10^9)}\)

= 2.73 × 10 -4

Therefore, the fractional change in the volume of the glass plate is 2.73 × 10–4.

Answered by Pragya Singh | 1 year ago

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