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TS EAMCET · Physics · Mechanical Properties of Solids

How much pressure (in atm) is needed to compress a sample of water by \(0.4 \%\) ? (Assume, Bulk modulus of water \(\approx 2.0 \times 10^9 \mathrm{~Pa}\) )

  1. A \(60 \mathrm{~atm}\)
  2. B \(70 \mathrm{~atm}\)
  3. C \(80 \mathrm{~atm}\)
  4. D \(90 \mathrm{~atm}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(80 \mathrm{~atm}\)

Step-by-step Solution

Detailed explanation

Given, percentage change in volume \(=0.4 \%\) Bulk modulus of water, \(B=2 \times 10^9 \mathrm{~Pa}\) The change in volume of water is given by \[ \Delta V=-\frac{p \cdot V}{B} \] where, \(p=\) pressure applied on the sample of the matter. Given,…