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An air bubble doubles in radius on risin...

An air bubble doubles in radius on rising 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 lake is

A

(a) H

B

(b) 2H

C

(c) 7H

D

(d) 8H

Text Solution

Verified by Experts

The correct Answer is:
c
Since the radius becomes double, the volume becomes eight times. Therefore, according to Boyle.s law, the pressure at the surface `Hrhog`. Therefore pressure at the bottom must be `8Hrhog`. Hence the depth of the lake is 7H.
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FULL MARKS-HEAT AND THERMODYNAMICS-ADDITIONAL QUESTIONS SOLVED (I. Choose the correct answer from the following)
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  2. A perfect gas at 27^(@)C is heated at constant pressure so as to doubl...

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  3. An air bubble doubles in radius on rising from the bottom of a lake to...

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  4. The mass of 1 litre of helium under a pressure of 2 atm and at a tempe...

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  5. Pressure exerted by a perfect gas is equal to …………….. .

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  6. Two vessels A and B contain the same ideal gas. The volume of B is twi...

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  7. According to Boyle's law, PV=C when the temperature of the gas remains...

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  8. The pressure of a gas contained in a closed vessel is increased by 0.4...

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  9. A difference of temperature of 25°C is equivalent to a difference of

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  10. A temperature at which both the Fahrenheit and the centigrade scales h...

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  11. If the temperature of patient is 40^(@)C, his temperature on the Fahre...

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  12. The correct value of 0^(@)C on the Kelvin scale is ……………..

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  13. When a gas in a closed vessel was heated so as to increase its tempera...

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  14. A perfect gas at 27^(@)C is heated at constant pressure so as to doubl...

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  15. Temperature can be expressed as a derived qqantity in terms of ……….. .

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  16. The equation of state corresponding to 8 g of O(2) is

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  17. At a given volume and temperature, the pressure of a gas ……….. .

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  18. Oxygen boils at -183^(@)C. This temperature in Fahrenheit scale is ……....

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  19. A centigrade and a Fahrenheit thermometer are dipped in boiling water....

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  20. The change in temperature of a body is 50^(@)C. The change on the kelv...

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