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Q.

A air bubble of radius 1 cm in water has an upward acceleration 9.8  cm  s−2 . The density of water is 1 gm cm−3  and water offers negligible drag force on the bubble. The mass of the bubble is  g=980  cm/s2

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a

4.51 gm

b

4.15 gm

c

3.15 gm

d

1.52 gm

answer is B.

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Detailed Solution

Buoyant force dominates weight.
So acceleration  a=FB−mgm
 FBm=a+5=989.8  cm/s2
Also  FB=V ρliq g
 ⇒m989.8=43 π13 1 980
So  m=4π3980989.8=4.145  gm=4.15 gm nearly

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