Excess pressure inside a soap bubble is three times that of the other bubble, then the ratio of their volumes will be
Excess pressure inside a soap bubble is three times that of the other bubble, then the ratio of their volumes will be
- [AIIMS 1998]
- A
$1:3$
- B
$1 : 9$
- C
$1:27$
- D
$1 : 81$
Similar Questions
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$:
Formation of bubble are in Column - $\mathrm{I}$ and pressure difference between them are given in Column - $\mathrm{II}$. Match them appropriately.
Column - $\mathrm{I}$
Column - $\mathrm{II}$
$(a)$ Liquid drop in air
$(i)$ $\frac{{4T}}{R}$
$(b)$ Bubble of liquid in air
$(ii)$ $\frac{{2T}}{R}$
$(iii)$ $\frac{{2R}}{T}$
Formation of bubble are in Column - $\mathrm{I}$ and pressure difference between them are given in Column - $\mathrm{II}$. Match them appropriately.
| Column - $\mathrm{I}$ | Column - $\mathrm{II}$ |
| $(a)$ Liquid drop in air | $(i)$ $\frac{{4T}}{R}$ |
| $(b)$ Bubble of liquid in air | $(ii)$ $\frac{{2T}}{R}$ |
| $(iii)$ $\frac{{2R}}{T}$ |
A vertical glass capillary tube of radius $r$ open at both ends contains some water (surface tension $T$ and density $\rho$ ). If $L$ be the length of the water column, then:
A vertical glass capillary tube of radius $r$ open at both ends contains some water (surface tension $T$ and density $\rho$ ). If $L$ be the length of the water column, then:
There is small hole in a hollow sphere. The water enters in it when it is taken to a depth of $40 \,cm$ under water. The surface tension of water is $0.07 \,N / m$. The diameter of hole is .......... $mm$
There is small hole in a hollow sphere. The water enters in it when it is taken to a depth of $40 \,cm$ under water. The surface tension of water is $0.07 \,N / m$. The diameter of hole is .......... $mm$
If pressure at half the depth of a lake is equal to $2/3$ pressure at the bottom of the lake then what is the depth of the lake...... $m$
If pressure at half the depth of a lake is equal to $2/3$ pressure at the bottom of the lake then what is the depth of the lake...... $m$