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AP EAMCET · PHYSICS · Mechanical Properties of Solids

If a pressure of \(8 \times 10^8 \mathrm{~N} \mathrm{~m}^{-2}\) is applied to a lead block, so that its volume reduces by \(20 \%\). The Bulk modulus of lead block is

  1. A \(4 \times 10^7 \mathrm{Nm}^{-2}\)
  2. B \(4 \times 10^8 \mathrm{Nm}^{-2}\)
  3. C \(4 \times 10^9 \mathrm{Nm}^{-2}\)
  4. D \(4 \times 10^{10} \mathrm{Nm}^{-2}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(4 \times 10^9 \mathrm{Nm}^{-2}\)

Step-by-step Solution

Detailed explanation

Pressure applied on the block, \(p=8 \times 10^8 \mathrm{Nm}^{-2}\) If \(V_1\) be initial volume, then final volume of block, \(\begin{aligned} & V_2=V_1-20 \% \text { of } V_1=V_1-\frac{20}{100} V_1 \\ & V_2=\frac{4}{5} V_1 \end{aligned}\) \(\therefore\) Change in volume,…