Air (density $\rho$ ) is being blown on a soap film (surface tension $T$ ) by a pipe of radius $R$ with its opening right next to the film. The film is deformed and a bubble detaches from the film when the shape of the deformed surface is a hemisphere. Given that the dynamic pressure on the film due to the air blown at speed $v$ is $\frac{1}{2} \rho v^{2}$, the speed at which the bubble formed is
Air (density $\rho$ ) is being blown on a soap film (surface tension $T$ ) by a pipe of radius $R$ with its opening right next to the film. The film is deformed and a bubble detaches from the film when the shape of the deformed surface is a hemisphere. Given that the dynamic pressure on the film due to the air blown at speed $v$ is $\frac{1}{2} \rho v^{2}$, the speed at which the bubble formed is
- [KVPY 2018]
- A
$\frac{T}{\sqrt{\rho R}}$
- B
$\sqrt{\frac{2 T}{\rho R}}$
- C
$\sqrt{\frac{4 T}{\rho R}}$
- D
$\sqrt{\frac{8 T}{\rho R}}$
Similar Questions
Fill in the Blank :
$(i)$ Bubble in water have .......... free surface.
$(ii)$ Bubble in air have .......... free surface.
$(iii)$ Rain drop have .......... free surface.
Fill in the Blank :
$(i)$ Bubble in water have .......... free surface.
$(ii)$ Bubble in air have .......... free surface.
$(iii)$ Rain drop have .......... free surface.
A container, whose bottom has round holes with diameter $0.1$ $mm $ is filled with water. The maximum height in cm upto which water can be filled without leakage will be ........ $cm$
Surface tension $= 75 \times 10^{-3}$ $ N/m $ and $g = 10$ $ m/s^2$:
A container, whose bottom has round holes with diameter $0.1$ $mm $ is filled with water. The maximum height in cm upto which water can be filled without leakage will be ........ $cm$
Surface tension $= 75 \times 10^{-3}$ $ N/m $ and $g = 10$ $ m/s^2$:
There are two liquid drops of different radii. The excess pressure inside over the outside is
There are two liquid drops of different radii. The excess pressure inside over the outside is
Two long parallel glass plates has water between them. Contact angle between glass and water is zero. If separation between the plates is $'d'$ ( $d$ is small). Surface tension of water is $'T'$ . Atmospheric pressure = $P_0$ . Then pressure inside water just below the air water interface is
Two long parallel glass plates has water between them. Contact angle between glass and water is zero. If separation between the plates is $'d'$ ( $d$ is small). Surface tension of water is $'T'$ . Atmospheric pressure = $P_0$ . Then pressure inside water just below the air water interface is
In Jager's method, at the time of bursting of the bubble
In Jager's method, at the time of bursting of the bubble