A vessel contains oil (density \( =0.8 \mathrm{gm} / \mathrm{cm}^{3} \) ) over mercury \( \left(...

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A vessel contains oil (density \( =0.8 \mathrm{gm} / \mathrm{cm}^{3} \) ) over mercury \( \left(\right. \) density \( \left.=13.6 \mathrm{gm} / \mathrm{cm}^{3}\right) \). A homogeneous sphere floats with half of its volume immersed in mercury and the other half in oil. The density of the material of the sphere in \( \mathrm{gm} / \mathrm{cm}^{3} \) is
[IIT-JEE 1988]
(a) \( 3.3 \)
(b) \( 6.4 \)
(c) \( 7.2 \)
(d) \( 12.8 \)
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