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Speed of sound in mercury at a certain temperature is 1450 \( \mathrm{m} / \mathrm{s} \). Given the density of mercury as \( 13.6 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3} \), the bulk modulus for mercury is
[JIPMER 2000]
(a) \( 2.86 \times 10^{10} \mathrm{~N} / \mathrm{m}^{2} \)
(b) \( 3.86 \times 10^{10} \mathrm{~N} / \mathrm{m}^{2} \)
\( \mathrm{P} \)
(c) \( 4.86 \times 10^{10} \mathrm{~N} / \mathrm{m}^{2} \)
(d) \( 5.86 \times 10^{10} \mathrm{~N} / \mathrm{m}^{2} \)
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