PhysicsThe fractional change in volume of a glass slab, when subjected to a hydraulic pressure of 10 atm. is (B for glass = 37 GPa)

The fractional change in volume of a glass slab, when subjected to a hydraulic pressure of 10 atm. is (B for glass = 37 GPa)

A
$2.7 \times 10^{- 5}$
B
$1.74 \times 10^{- 5}$
C
$2.74 \times 10^{- 3}$
D
$1.74 \times 10^{- 5}$

Solution:

Applied hydraulic pressure to the glass slab = $P = 10 atm$

Bulk modulus = $B = 37 \times 10^{9} N m^{- 2}$

$Bulk modulus, B = P / (ΔV / V)$

$\frac{ΔV}{V} = Fractional change in volume$

$\frac{ΔV}{V} = \frac{P}{B}$

$= \frac{10 \times 1.013 \times 10^{5}}{37 \times 10^{9}} = 2.7 \times 10^{- 5}$

Hence the correct answer is $2.7 \times 10^{- 5} .$

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