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Question

A collapsible balloon is inflated to a volume of 10 L at a pressure of 1 atm. When the balloon is immersed to the bottom of a lake, its volume reduces to 1.25 L. Assuming 1 atm pressure to be equivalent to 10 m column of water and no change in temperature, the depth of the lake will be


A

70 m

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B

80 m

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C

90 m

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D

None of these

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Solution

The correct option is A

70 m


Pressure at the surface of lake, P1=1 atm10 m
column; V1=10L
Pressure at the bottom, P2(10+x)m column,
V2=1.25L
Applying P1V1=P2V2, x = depth = 70 m


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