# Compute the Fractional Change in Volume of a Glass Slab, When Subjected to a Hydraulic Pressure of 10 Atm. - Physics

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

#### Solution 1

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/(triangle V/V)

Where triangle V/V = p/B

=(10xx1.013xx10^5)/(37xx10^9)

=2.73 xx 10^(-5)

Hence, the fractional change in the volume of the glass slab is 2.73 × 10–5.

#### Solution 2

P = 10 atm = 10 x 1.013 xx 105 Pa; k = 37 xx 10^9 Nm^(-2)

Volumetric strain = (triangleV)/V = P/K =  (10xx1.013xx10^5)/(37xx10^9) = 2.74 xx 10^(-5)

:.Fractional change in volume =  (triangleV)/V = 2.74 xx 10^(-5)

Concept: Elastic Moduli - Bulk Modulus
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#### APPEARS IN

NCERT Class 11 Physics Textbook
Chapter 9 Mechanical Properties of Solids
Q 14 | Page 244