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The approximate depth of an ocean is 2700 m. The compressibility of water is 45.4 × 10–11 Pa–1 and density of water is 103 kg/m3.What fractional compression of water will be obtained at the bottom of the ocean ?
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- 1.0 × 10–2
- 1.2 × 10–2
- 1.4 × 10–2
- 0.8 × 10–2
Correct Option: B
Compressibility of water, K = 45.4 × 10–11 Pa–1
density of water P = 103 kg/m3
depth of ocean, h = 2700 m
| We have to find | = ? | |
| V |
As we know, compressibility,
| = | = | (P = ρ g h) | ||
| B | P |
So , (∆V / V) = K ρ g h
= 45.4 × 10–11 × 103 × 10 × 2700 = 1.2258 × 10–2
