When an air bubble of radius $‘r’$ rises from the bottom to the surface of a lake, its radius becomes $5r/4$ (the pressure of the atmosphere is equal to the $10 \,m$ height of water column). If the temperature is constant and the surface tension is neglected, the depth of the lake is .... $m$
  • A$3.53$
  • B$6.53$
  • C$9.53$
  • D$12.53$
Medium
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    The specific heat of a gas
    View Solution
  • 2
    A real gas behaves like an ideal gas if its
    View Solution
  • 3
    On giving equal amount of heat at constant volume to $1\, mol$ of a monoatomic and a diatomic gas the rise in temperature $(\Delta T)$ is more for
    View Solution
  • 4
    The change in the magnitude of the volume of an ideal gas when a small additional pressure $\Delta P$ is applied at a constant temperature, is the same as the change when the temperature is reduced by a small quantity $\Delta T$ at constant pressure. The initial temperature and pressure of the gas were $300\, K$ and $2\; atm$ respectively. If $|\Delta T|=C|\Delta P|$ then value of $C$ in $(K / a t m)$ is......
    View Solution
  • 5
    A vessel of volume 20L contains a mixture of hydrogen and helium at temperature of $27^{\circ} C$ and pressure $2 atm$. The mass of mixture is $5 g$. Assuming the gases to be ideal, the ratio of mass of hydrogen to that of helium in the given mixture will be
    View Solution
  • 6
    The energy (in $eV$) possessed by a neon atom at $27^{\circ} C$ is ..............
    View Solution
  • 7
    Following statements are given :

    $(1)$ The average kinetic energy of a gas molecule decreases when the temperature is reduced.

    $(2)$ The average kinetic energy of a gas molecule increases with increase in pressure at constant temperature.

    $(3)$ The average kinetic energy of a gas molecule decreases with increases in volume.

    $(4)$ Pressure of a gas increases with increase in temperature at constant pressure.

    $(5)$ The volume of gas decreases with increase in temperature.

    Choose the correct answer from the options given below:

    View Solution
  • 8
    A gas is collected over the water at $25°C.$ The total pressure of moist gas was $735 \,mm$ of mercury. If the aqueous vapour pressure at $25°C$ is $23.8\, mm.$ Then the pressure of dry gas is..... $mm$
    View Solution
  • 9
    $Assertion$: The total translational kinetic energy of all the molecules of a given mass of an ideal gas is $1.5\, times$ the product of its pressure and its volume.
    $Reason$ : The molecules of a gas collide with each other and the velocities of the molecules change due to the collision.
    View Solution
  • 10
    On absolute temperature, the kinetic energy of the molecules
    View Solution