Q134 / 160 · AP EAMCET 2023 (16 May Shift 2) · Physics

The fractional change in the volume of a glass slab whe subjected to hydraulic pressure of $14 \mathrm{~atm}$ is (Bulk modulus of glass $=40 \times 10^9 \mathrm{Nm}^{-2}$ )

  • A
    $1.44 \times 10^{-5}$
  • Correct answer
    B
    $3.54 \times 10^{-5}$
  • C
    $2.74 \times 10^{-5}$
  • D
    $3.14 \times 10^{-5}$

Solution

Hydraulic pressure exerted on glass slab. $\mathrm{P}=14 \mathrm{~atm}=14 \times 1.01 \times 10^5 \mathrm{~Pa} \text {. }$ Bulk modules of glass, $\mathrm{B}=40 \times 10^9 \mathrm{Nm}^{-2}$ $\mathrm{B}=\frac{\frac{\mathrm{P}}{\Delta \mathrm{V}}}{\mathrm{V}}$ The fractional change in the volume, $\begin{aligned} & \frac{\Delta V}{V}=\frac{P}{B} \\ & =\frac{14 \times 1.01 \times 10^5}{40 \times 10^9}=3.54 \times 10^{-5} \end{aligned}$

Hence, the correct answer is option: 'B'.

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