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AP EAMCET · PHYSICS · Mechanical Properties of Solids

A spherical ball of volume \(2000 \mathrm{~cm}^3\) is subjected to a hydraulic pressure of \(15 \mathrm{~atm}\). If the change in volume is \(5 \times 10^{-2} \mathrm{~cm}^3\), the bulk modules of the material of the spherical ball is
\(\left(1 \mathrm{~atm}=10^5 \mathrm{Nm}^{-2}\right)\)

  1. A \(6 \times 10^{10} \mathrm{Nm}^{-2}\)
  2. B \(2 \times 10^{10} \mathrm{Nm}^{-2}\)
  3. C \(5 \times 10^{10} \mathrm{Nm}^{-2}\)
  4. D \(15 \times 10^{10} \mathrm{Nm}^{-2}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(6 \times 10^{10} \mathrm{Nm}^{-2}\)

Step-by-step Solution

Detailed explanation

Volume of spherical ball, \(V=2000 \times 10^{-6} \mathrm{~m}^3\) Hydraulic pressure, \(\mathrm{P}=15 \mathrm{~atm}=15 \times 10^5 \mathrm{Nm}^{-2}\) Change in volume, \(\Delta \mathrm{V}=5 \times 10^{-2} \times 10^{-6} \mathrm{~m}^3\) Bulk modulus,…