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The longitudinal waves starting from a ship return from the bottom of the sea to the ship after 2.60 s. If the bulk modulus of water be 220 kg mm−2 and the density is 1.1 × 103 kgm−3,the depth of sea is (take, g = 9 8.N kg−1)(a) 1820 m (b) 1850 m (c) 1400 m (d) 1420 m |
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Answer» Answer : (a) 1820 m Given, K = 220 kg mm-2 = 220\(\times\)106 kgm-2 = 220 \(\times\)9.8 \(\times\)106Nm-2 And, ρ = 1.1 \(\times\) 103 kgm-3 Velocity, v = \(\sqrt{\frac{K}{ρ}}\) = \(\sqrt{\frac{220\times 9.8\times 10^6}{1.1\times 10^3}}\) = 1400 ms-1 Depth of sea = \(\frac{vt}{2}\) = \(\frac{1400\times 2.60}{2}\) = 1820 m. |
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