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An air bubble doubles in radius on strin...

An air bubble doubles in radius on string from the bottom of a lake to its surface. If the atmospheric pressure is equal to that of a column of water of height `H`, the depth of the lake is

A

`H`

B

`2 H`

C

`7 H`

D

`8 H`

Text Solution

Verified by Experts

The correct Answer is:
C
`V_(1) = V_(0), V_(2) = 8 V_(0), P_(1) = (H + h)m` of water
`P_(2) = H`
`P_(1)V_(1) = P_(2)V_(2)`
`(H + h) V_(0) = H. 8 V_(0)`
`h = 7 H`
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CP SINGH-KINETIC THEORY OF GASES-Exercises
  1. A gas has volume V and pressure p. The total translational kinetic ene...

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  2. The average translational energy and the rms speed of molecules in a s...

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  3. A polyatomic gas with (n) degress of freedom has a mean energy per mol...

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  4. Three perfect gases at absolute temperature T(1), T(2) and T(3) are mi...

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  5. Consider a mixture of oxygen and hydrogen kept at room temperature, As...

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  6. The temperature of argon, kept in a vessel, is raised by 1^(@)C at a c...

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  7. A vessel contains a mixture of one mole of oxygen and two moles of nit...

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  8. A gas mixture consists of 2 moles of oxygen and 4 moles of argon at te...

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  9. A gas is enclosed in a container which is then placed on a fast moving...

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  10. Mean free path of a gas molecule is

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  11. If the mean free path of atoms is doubled then the pressure of gas wil...

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  12. Figure shows two flasks connected to each other. The volume of the fla...

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  13. Two containers of equal volume contain the same gas at pressure P(1) a...

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  14. Two idential container joined by a small pipe initially contain the sa...

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  15. In the previous question let V(0) be the volume of each container. All...

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  16. The temperature at the bottom of a 40 cm deep lake is 12^(@)C and that...

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  17. An air bubble doubles in radius on string from the bottom of a lake to...

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  18. When an air bubble of radius 'r' rises from the bottom to the surface ...

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  19. If pressure of CO(2) (real gas ) in a container is given by P = (RT)/...

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  20. The equation of state of gas is given (P + (aT^(2))/(V))V^( c) = (RT +...

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