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Question

Question: The volume of an air bubble becomes three times as it rises from the bottom of a lake to its surface...

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

A

5 m

B

10 m

C

15 m

D

20 m

Answer

15 m

Explanation

Solution

(P0+hρg)V\left( P _ { 0 } + h \rho g \right) V=

hρg=2P0h \rho g = 2 P _ { 0 }h=2×75×13.6×g13.610×gh = \frac { 2 \times 75 \times 13.6 \times g } { \frac { 13.6 } { 10 } \times g }= 15 m