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The force acting on a window of area 50c...

The force acting on a window of area `50cm xx 50cm` of a submarine at a depth of `2000 m` in an ocean, the interior of which is maintained at sea level atmospheric pressure is (Density of sea water = 10^(3)kgm^(-3), g = 10ms^(-2)`)

A

`10^6` N

B

`5xx10^5` N

C

`25xx10^6` N

D

`5xx10^6` N

Text Solution

Verified by Experts

The correct Answer is:
C

The pressure at a depth 'h' below the sea level=Atmospheric pressure+hydrostatic pressure`(rhogh)` but the pressure inside the submarine
=Atmospheric pressure
`:.` Net pressure acting on the window`=rhogh`
`P=10^3xx10xx2000=2xx10^7Pa`
and Area of the window (A)
`=50xx10^(-2)xx50xx10^(-2)=25xx10^(-2)m^2`
`:.` Force acting on the window=`PxxA`
`=2xx10^7xx25xx10^(-2)`
`=5xx10^6N`
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