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InterviewSolution
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Example 9.5 The average depth of IndianOcean is about 3000 m. Calculate thefractional compression, DV/V. of water atthe bottom of the ocean, given that the bulkmodulus of water is 2.2 Ă 109 Nm". (Takeg=10 ms") |
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Answer» P = P₀ + ρgh Where P₀ is the atmospheric pressure , g is acceleration due to gravity, h is the height from the Earth surface and ρ is density of water Here, P₀ = 10⁵ N/m² , g = 10m/s² , h = 3000m and ρ = 10³ Kg/m³ Now, P = 10⁵ + 10³ × 10 × 3000 = 3.01 × 10⁷ N/m² Again, we have to use formula, B = P/{-∆V/V} Here, B is bulk modulus and { -∆V/V} is the fractional compression So, -∆V/V = P/B Put , P = 3.01 × 10⁷ N/m² and B= 2.2 × 10⁹ N/m²∴ fractional compression = 3.01 × 10⁷/2.2 × 10⁹ = 1.368 × 10⁻² your answer is right but to long bt thanks............ |
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