Advertisement Remove all ads

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.

Advertisement Remove all ads

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
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

NCERT Class 11 Physics Textbook
Chapter 9 Mechanical Properties of Solids
Q 14 | Page 244
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×