Elasticity & Viscosity JEE Main | Fractional Compression

JEE MAIN 2025

29-01-2025 SHIFT-1

Question

The fractional compression $\left( {\frac{{\Delta V}}{V}} \right)$ of water at the depth of 2.5 km below the sea level is ______ %. Given, the Bulk modulus of water $ = 2 \times {10^9}{\rm{N}}{{\rm{m}}^{ - 2}}$ , density of water $ = {10^3}$ ${\rm{kgm}}{{\rm{m}}^{-3}}$, acceleration due to gravity $ = {\rm{g}} = 10\;{\rm{m}}\;{{\rm{s}}^{-2}}$.

Select the correct option:

1.75

1.25

1.0

1.5

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

${\rm{B}} = \frac{{\rho {\rm{gh}}}}{{\left( {\frac{{\Delta {\rm{v}}}}{{\rm{v}}}} \right)}}$
$\frac{{\Delta {\rm{v}}}}{{\rm{v}}} \times 100 = \frac{{\rho g\;{\rm{g}}}}{{\;{\rm{B}}}} \times 100$
$\frac{{1000 \times 10 \times 2.5 \times {{10}^3}}}{{2 \times {{10}^9}}} \times 100\% $
$ = 1.25\% $

Question Tags

JEE Main

Physics

Easy

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