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The pressure at the bottom of the lake is = The pressure due to hte air + The pressure due to the water column=P1
The pressure at the top is only the atmosphereic pressure=P2 Initial Vol=V1 and final Vol is =V2
NOW YOU HAVEN'T MENTIONED ABOUT THE TEMP SO I AM CONSIDERING IT TO BE CONSTANT
So from gas eq we get P1V1 = P2V2
V2=2V1
Putting the values in the eq 1 we get,
H=10 meter
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