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)

ρvg-mg=ma⇒ρvgm=g+a⇒m=ρvgg+a⇒10343π×10-6 (9.8)9.898⇒4.15gm

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Physics Class 12th Electrostatic Potential physics ncert exemplar solutions class 12th chapter two

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

5 Views | Posted 2 months ago

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1 Answer

Answered by

alok kumar singh | Contributor-Level 10

2 months ago

Correct Option - 4

Detailed Solution:

$ρ v g - m g = m a$

$\Rightarrow \frac{ρ v g}{m} = g + a$

$\Rightarrow m = \frac{ρ v g}{g + a}$

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

$\Rightarrow 4.15 g m$

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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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