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A air bubble of radius 1 cm in water has an upward acceleration of 9.8 cms^–2.

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A air bubble of radius 1 cm in water has an upward acceleration of 9.8 cms–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).

(1) 4.15 gm

(2) 1.52 gm

(3) 4.51 gm

(4) 3.15 gm

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(1) 4.15 gm

Explanation:

Fb - mg = ma

Fb = m(g + a)

= 4/3πr3ρg = m(g + a)

m = 4/3π(1)g = m(980 + 9.8)

m = 4.15

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