Properties Of Solids And Liquids Question 280

Question: If pressure at half the depth of a lake is equal to 2/3 pressure at the bottom of the lake then what is the depth of the lake [RPET 2000]

Options:

A)10 m

B)20 m

C)60 m

D)30 m

Show Answer

Answer:

Correct Answer: B

Solution:

Pressure at bottom of the lake = P0+hρg

Pressure at half the depth of a lake =P0+h2ρg

According to given condition P0+12hρg=23(P0+hρg)

therefore 13P0=16hρg

therefore h=2P0ρg=2×105103×10=20m .



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