Question 9.14:
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.
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 PaBulk 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.
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