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JEE Mains · Physics · STD 11 - 9.1 fluid mechanics
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\(.......gm\) \(\left( g =980 \,cm / s ^{2}\right)\)
- A \(3.15\)
- B \(4.51\)
- C \(4.15\)
- D \(1.52\)
Answer & Solution
Correct Answer
(C) \(4.15\)
Step-by-step Solution
Detailed explanation
Volume \(V =\frac{4 \pi}{3} r ^{3}=\frac{4 \pi}{3} \times(1)^{3}=4.19 cm ^{3}\) \(a =9.8 cm / s ^{2}\) \(B - mg = ma\) \(m =\frac{ B }{ g + a }\) \(m =\frac{\left( V \rho_{ \omega} g \right)}{ g + a }=\frac{ V \rho_{ \omega }}{1+\frac{ a }{ g }}\)…
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