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A spherical ball of volume $1000 c m^{3}$ is subjected to a pressure of 10 atmosphere. The change in volume is $10^{- 2} c m^{3}$ . If the ball is made of iron find its bulk modulus. (Atmospheric pressure $= 1 \times 10^{5} N m^{- 2}$ )

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$1 \times 10^{11} N / m^{2}$

$2 \times 10^{11} N / m^{2}$

$3 \times 10^{11} N / m^{2}$

$4 \times 10^{11} N / m^{2}$

answer is A.

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Detailed Solution

$K = \frac{P V}{Δ V} = \frac{10 \times 10^{5} \times 1000 \times 10^{- 6}}{10^{- 2} \times 10^{- 6}} = 10^{11} N / m^{2}$

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