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A body is experiencing an atmospheric pr...

A body is experiencing an atmospheric pressure of ` 1 . 01 xx 10^(5) N // m^(2)` on the surface of a pound . The body will experience double of the previous pressure if it is brought to a depth of (given density of pound water ` = 1. 0 3 xx 10^(3) kg // m^(2) , g = 10 m // s^(2)` )

A

8 m

B

8 . 6 m

C

9 . 7 m

D

10 . 3 m

Text Solution

Verified by Experts

The correct Answer is:
C
Suppose, air pressure on the surface `= rho ` and height = h
Pressure at height h ` 2 rho`
But pressure at h = air pressure + water pressure
`rArr 2 rho = rho + h d g `
` rho = hdg `
` 1 xx 10 ^(5) = h xx 103 xx 10 ^(3) xx 10`
`h = (10^(5))/(103 xx 10 ^(3) xx 10) = 97 ` m
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