Properties Of Solids And Liquids Question 319

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) 10m

B) 20m

C) 60m

D) 30m

Show Answer

Answer:

Correct Answer: B

Solution:

Pressure at half the depth =P0+h2dg

Pressure at the bottom =P0+hρg

According to given condition P0+h2dg=23(P0+hdg)

therefore 3P0+3h2dg=2P0+2hdg

h=2P0dg=2×105103×10=20 m



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