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The increase in pressure required to decrease the volume of a water sample by 0.2% is P×10⁵ N m⁻². Bulk modulus of water is 2.15×10⁹ N m⁻². The value of P is ______.

Asked in JEE Main 24th Jan 2nd Shift 2025 · Bulk modulus and compressibility

Answer: 43

Step-by-step solution

Given: (Δ V)/V=0.2%=2×10⁻³ and B=2.15×10⁹ N m⁻².

B=(Δ p)/(Δ V/V), so Δ p=B(Δ V)/V.

Δ p=2.15×10⁹×2×10⁻³=4.3×10⁶ N m⁻².

Written as P×10⁵, this is 43×10⁵ N m⁻².

Hence P=43.

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