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Question

# In rising from the bottom of a lake to the top, the temperature of air bubble remains unchanged, but the diameter gets doubled. If h is the barometric height (expressed in metres of mercury of relative density ρ) at surface of the lake, the depth of the lake (in metres) is

A
8ρh
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B
4ρh
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C
7ρh
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D
2ρh
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Solution

## The correct option is C 7ρhTemperature constant => PV= constant, The volume is 8 times as diameter gets doubled. pressure gets 1/8 times air pressure*8 = air pressure + pressure due to water=>height due to water =7ρh

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