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Question

A tall measuring jar contains ethyl alcohol of density 0.8 gm/cm3. An iron ball is dropped into it and the level rises by 20 cm3. The buoyant force acting on the ball is : (Take acceleration due to gravity to be 10 ms2)

A
0.2 N
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B
0.25 N
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C
0.16 N
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D
1.6 N
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Solution

The correct option is A 0.16 N
As the level rises by 20 cm3
i.e., Volume of alcohol displaced by the iron ball=20 cm3=20×106 m3
Density in kg/m3 = 0.8×103106=800
So, the force acting on the ball in upward direction=V×ρ×g
=20×106×800×10
=0.16 N

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