Questions

The volume of an air bubble becomes three times as it rises from the bottom of a lake to its surface. Assuming atmospheric pressure to be 75 cm of Hg and the density of water to be 1/10 of the density of mercury, the depth of the lake is

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By Expert Faculty of Sri Chaitanya

5 m

10 m

15 m

20 m

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detailed solution

Correct option is C

P1V1=P2V2⇒HHgρHg+HWρWV=HHgρHg×3V⇒HHgρHg+HWρHg10=3HHgρHg⇒HW=2HHg×10=2×75×10100=15m

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An insulated container of gas has two chambers separated by an insulating partition. One of the chambers has volume $V_{1}$ and contains ideal gas at pressure $P_{1}$ and temperature $T_{1} .$ The other chamber has volume $V_{2}$ and contains ideal gas at pressure $P_{2}$ and temperature $T_{2} .$ If the partition is removed without dong any work on the gas, the final equilibrium temperature of the gas in the container will be