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Q.

A hemispherical bowl just floats without sinking in a liquid of density 1.2 x 103 kg/m3. If the outer diameter and the density of the bowl are 1m and 2 x 104 kg/m3 respectively, then the inner diameter of the bowl will be

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a

1.91 m

b

0.5m

c

0.98 m

d

1.75 m

answer is C.

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Detailed Solution

Let ‘d’ be the inner diameter. weight of displaced liquid = weight of the body m1g = mgVol. of displaced. Liquid x density of liquid = Vol. of the body x density of the body4π3123×1.2×103=4π3123−d23×2×104
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