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Q.

A wooden cube of length 10 cm is floating in water with 75% of its length submerged in water. Now a small disc of iron is placed on the cube and it is observed that the cube is just submerged in water. Then mass of the disc is

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a

125 gm

b

250 gm

c

325 gm

d

425 gm

answer is B.

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Detailed Solution

Before the disc is placed on the cube (10)3×σ×g=(102×7.5)×1×g where σ = density of cube in gm/c.c.⇒σ=0.75 gm/c.c.After the disc is placed, mg+(10)3×0.75×g=(10)3×1×g⇒m=250 gm
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