A air bubble of radius 1 cm in water has an upward acceleration 9.8 cm^-2 . The density of water is 1 gmcm^-3 and water offers negligible drag force on the bubble. The mass of the bubble is: (g=980 cm/s²)

Option 1 - 4.51 gm

Option 2 - 1.52 gm

Option 3 - 3.15gm

Option 4 - 4.15gm

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Answered by

Alok Kumar Singh | Contributor-Level 10

7 months ago

Correct Option - 4

Detailed Solution:

$ρ v g - m g = m a$

$\Rightarrow \frac{ρ v g}{m} = g + a$

$\Rightarrow m = \frac{ρ v g}{g + a}$

$\Rightarrow \frac{10^{3} (\frac{4}{3} π * 10^{- 6}) (9.8)}{9.898}$

$\Rightarrow 4.15 g m$

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A air bubble of radius 1 cm in water has an upward acceleration 9.8 cm-2 . The density of water is 1 gmcm-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 air bubble of radius 1 cm in water has an upward acceleration 9.8 cm^-2 . The density of water is 1 gmcm^-3 and water offers negligible drag force on the bubble. The mass of the bubble is: (g=980 cm/s²)