Speed of sound in mercury at a certain temperature is $1450 \,m/s$. Given the density of mercury as $13.6 × 10^3 kg / m^3$, the bulk modulus for mercury is
A$2.86 × 10^{10} N / m^3$
B$3.86 × 10^{10} N / m^3$
C$4.86 × 10^{10} N / m^3$
D$5.86 × 10^{10} N / m^3$
Medium
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A$2.86 × 10^{10} N / m^3$
a $v = \sqrt {\frac{K}{\rho }} $
$\therefore K = {v^2}\rho = 2.86 \times {10^{10}}N/{m^3}$
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