When a rubber ball is taken to a depth of __________m in deep sea, its volume decreases by 0.5%. (The bulk modulus of rubber = 9.8 × 108 Nm−2, Density of sea water = 103 kgm−3, g = 9.8 m/s2) Numerical answer type. Work it out, then open the answer.

Answer: 500. ρ g h = B (Δ V)/(V) B (Δ V)/(V) = 9.8×10⁸×0.005 = 4.9×10⁶ Pa h = 4.9×10⁶10³×9.8 = 500 m

When a rubber ball is taken to a depth of __________m in deep sea… | JEE Main 2021 (31 Aug, Shift 1)

Q13JEE Main 2021 · 31 AUG · SHIFT 1Medium

Bulk Modulus & Compressibility

When a rubber ball is taken to a depth of __________m in deep sea, its volume decreases by 0.5%. (The bulk modulus of rubber = 9.8 $\times$ 108 Nm−2, Density of sea water = 103 kgm−3, g = 9.8 m/s2)

Numerical answer type. Work it out, then open the answer.

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Answer: 500

$\rho g h = B\,\frac{\Delta V}{V}$
$B\,\frac{\Delta V}{V} = 9.8\times10^{8}\times0.005 = 4.9\times10^{6}\ \text{Pa}$
$h = \frac{4.9\times10^{6}}{10^{3}\times9.8} = 500\ \text{m}$

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Bulk Modulus & Compressibility question from JEE Main 2021 (31 Aug, Shift 1)

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