Mechanical Properties of solids NCERT Solutions Class 11 Physics - Solved Exercise Question 9.14

Question 9.14:

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

Solution:

Hydraulic pressure exerted on the glass slab, p = 10 atm = 10 × 1.013 × 10⁵ Pa
Bulk modulus of glass, B = 37 × 10⁹ Nm^–2
Bulk modulus, B = p / (∆V/V)
Where,
∆V/V = Fractional change in volume
∴ ∆V/V = p / B
= 10 X 1.013 X 10⁵ / (37 X 10⁹)
= 2.73 X 10^-5
Hence, the fractional change in the volume of the glass slab is 2.73 × 10^–5.