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Find the pressure exerted below a column...

Find the pressure exerted below a column of water, open to the atmosphere, at depth
(i) 10 m " " (ii) 30 m
(Given, density of water `=1xx10^(3)kgm^(-3), g =10 ms^(-2))`

A

`2.013xx10^5` pa, 4 atm

B

`3.013xx10^4` pa, 3 atm

C

`2.013xx10^4` pa, 2 atm

D

`2.013xx10^2` pa, 4 atm

Text Solution

Verified by Experts

The correct Answer is:
A

(i) Pressure at depth of 10m
`p=p_a+rhogh`
`=1.013xx10^5 Pa + (1+10^3 kgm^(-3))(10^(-2)) (10m)`
`=1.013xx10^5 Pa+1xx10^5 Pa= 2.013 xx10^5 Pa`
(ii) Pressure at a depth of 30m
`p=p_a+rhogh`
`=1.013xx10^5 pa +(1xx10^3 kgm^(-3))( 10ms^(-2)) (30m)`
`=1.013xx10^5Pa+3xx10^5 Pa`
`=4.013xx10^5 Pa = 4` atm
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