Ncert Exercises & Solutions

Question 9.14:
Compute the fractional change in volume of a glass slab, when subjected to a hydraulic pressure of 10 atm.

Hydraulic pressure exerted on the glass slab, P = 10 atm = 10 × 1.013 × 10 $^{5}$ Pa
The bulk modulus of glass, B = 37 $\times 10^{9} {Nm}^{- 2}$

Bulk modulus, $B = \frac{P}{\frac{∆ V}{V}}$

The fractional change in volume

$\frac{∆ V}{V} = \frac{P}{B} = \frac{10 \times 1.013 \times 10^{5}}{37 \times 10^{9}} = 2.73 \times 10^{- 5}$

Hence, the fractional change in the volume of the glass slab is 2.73 × 10 $^{- 5}$ .