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Compute the Fractional Change in Volume of a Glass Slab, When Subjected to a Hydraulic Pressure of 10 Atm. - CBSE (Science) Class 11 - Physics

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Question

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

Solution 1

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)`

Solution 2

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.

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APPEARS IN

 NCERT Solution for Physics Textbook for Class 11 (2018 to Current)
Chapter 9: Mechanical Properties of Solids
Q: 14 | Page no. 244
Solution Compute the Fractional Change in Volume of a Glass Slab, When Subjected to a Hydraulic Pressure of 10 Atm. Concept: Elastic Moduli - Bulk Modulus.
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