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Q.

A cubical block of wood of side 10 cm floats at the interface between an oil and water with its lower surface 2 cm below the interface. The heights of the oil and water columns are 10 cm each. Density of oil is 0.8g/c.c. The mass of the block is

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a

720 gram

b

900 gram

c

960 gram

d

840 gram

answer is D.

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Detailed Solution

ρ0 = 0.8gm/ccm = mw + m0= ρwVw + ρ0V0ρwAhw + ρ0Ah0m = 1 x 10 x 10 x 2 + 0.8 x 10 x 10 x 8 = 200 + 640 = 840gram

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