WBJEE · Physics · Mechanical Properties of Solids
A liquid of bulk modulus \(k\) is compressed by applying an external pressure such that its density increases by \(0.01 \% .\) The pressure applied on the liquid is
- A \(\frac{k}{10000}\)
- B \(\frac{k}{1000}\)
- C \(1000 \mathrm{k}\)
- D \(0.01 k\)
Answer & Solution
Correct Answer
(A) \(\frac{k}{10000}\)
Step-by-step Solution
Detailed explanation
The Bulk modulus \(k\) \[ k=-\frac{p}{\Delta V / V} \] Where, \(p=\) Pressure \[ \begin{aligned} \Delta V &=\text { Change in volume } \\ V &=\text { Volume of liquid } \end{aligned} \] From (i) \[ \frac{p}{k}=-\frac{\Delta V}{V}=\frac{\Delta p}{p} \]…
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