Verified Solution • 2025–26 Session moderate

QJEEM25Phd960: JEE Main 2025 Physics - Class 11 JEEM25Phd960 Solution: The fractional compression of water at the depth of 2.5 km…

The fractional compression (ΔVV)\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 = 2×1092 \times 10^9 N m −2^{-2} , density of water = 10310^3 kg m −3^{-3} , acceleration due to gravity g=10g = 10 m s −2^{-2} .

Multiple Choice Options

  • A 1
  • B 1.25
  • C 1.75
  • D 1.5

Step-by-Step Verified Solution

amp;B=ρgh(Δvv)amp;Δvv×100=ρgh B×100amp;1000×10×2.5×1032×109×100%amp;=1.25%\begin{aligned}& \mathrm{B}=\frac{\rho \mathrm{gh}}{\left(\frac{\Delta \mathrm{v}}{\mathrm{v}}\right)} \\& \frac{\Delta \mathrm{v}}{\mathrm{v}} \times 100=\frac{\rho \mathrm{gh}}{\mathrm{~B}} \times 100 \\& \frac{1000 \times 10 \times 2.5 \times 10^3}{2 \times 10^9} \times 100 \% \\& =1.25 \%\end{aligned}

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