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Two thin circular metal plates A and B o...

Two thin circular metal plates A and B ofradii 2 cm and 3 cm are kept in water at depths of 75 cm and 150 cm respectively below th e free surface of water. `F_A` and `F_B` are the thrusts on the plates A and B respectively. What is the ratio `(F_A)/(F_B)` ?

A

`1/3`

B

`2/5`

C

`2/9`

D

`3/4`

Text Solution

Verified by Experts

The correct Answer is:
C
Thrust on plate ltbrge Hydrostatic pressure`xx` Area of the plate
`=rhoghxxpiR^2`
`:." "(F_A)/(F_B)=((75)/(150))xx(2/3)^2=1/2xx4/9=2/9`
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