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JIPMER 2015
Exam
JIPMER
Year
2015
Subject
Physics
Chapter
Mechanical Properties of Solids

JIPMER 2015 · Physics · Mechanical Properties of Solids

Find the increase in pressure required to decrease the volume of...

Find the increase in pressure required to decrease the volume of water sample by 0.01%0.01 \%. Bulk modulus of water =2.1×109Nm−2=2.1 \times 10^9 \mathrm{Nm}^{-2}

Options

  1. A4.3×104 N/m24.3 \times 10^4 \mathrm{~N} / \mathrm{m}^2
  2. B1.8×107 N/m21.8 \times 10^7 \mathrm{~N} / \mathrm{m}^2
  3. C2.1×105 N/m22.1 \times 10^5 \mathrm{~N} / \mathrm{m}^2
  4. D3.7×104 N/m23.7 \times 10^4 \mathrm{~N} / \mathrm{m}^2

Correct answer

C. 2.1×105 N/m22.1 \times 10^5 \mathrm{~N} / \mathrm{m}^2

Step-by-step solution

As,β=2.1×109 N/m2\mathrm{As}, \beta=2.1 \times 10^9 \mathrm{~N} / \mathrm{m}^2 Also given that ΔVV=0.1%=10−4\frac{\Delta V}{V}=0.1 \%=10^{-4} We know that, B=pVΔVB=\frac{p V}{\Delta V}⇒p=B(ΔVV)=2.1×109×10−4=2.1×105 N/m2\begin{aligned} \Rightarrow \quad p & =B\left(\frac{\Delta V}{V}\right) \\ & =2.1 \times 10^9 \times 10^{-4} \\ & =2.1 \times 10^5 \mathrm{~N} / \mathrm{m}^2\end{aligned}$$
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