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A sphere contracts in volume by \( 0.01 \% \), when taken to the bottom of sea \( 1 \mathrm{~km} \) deep. The bulk modulus
\( \mathrm{P} \) of the material of the sphere is (Given density of sea water may be taken as \( 1.0 \times 10^{3} \mathrm{~kg} \mathrm{~m}^{-3} \) )
(a) \( 4.9 \times 10^{10} \mathrm{~N} \mathrm{~m}^{-2} \)
(b) \( 9.8 \times 10^{10} \mathrm{~N} \mathrm{~m}^{-2} \)
(c) \( 4.9 \times 10^{9} \mathrm{~N} \mathrm{~m}^{-2} \)
(d) \( 9.8 \times 10^{9} \mathrm{~N} \mathrm{~m}^{-2} \)
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