A cube is shifted to a depth of 100 m is a lake. The change in volume is 0.1%. The bulk modulus of the material is nearly

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10 Pa

$10^{4} P a$

$10^{7} P a$

$10^{9} P a$

answer is D.

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Detailed Solution

10 m column of water exerts nearly l atmosphere pressure. So, 100 m column of water exerts nearly 10 atmosphere pressure,

i.e., 10 × $10^{5}$ Pa or $10^{6}$ Pa. Now,

$K = \frac{(Δ P) V}{Δ V} = \frac{10^{6} \times 100}{0.1} P a = 10^{9} P a$

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