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If the force is increase four times and ...

If the force is increase four times and surface area is decreased to half, then the ratio of initial pressure to final pressure would be

A

`1:8`

B

`1:2`

C

`2:1 `

D

`8:1`

Text Solution

Verified by Experts

The correct Answer is:
A
We know that
`P = F/A `
`P_i = (F.)/(A.)`
According to question `F. = 4F and A. = A/2`
`P_f = (4F)/(A/2) = (8F)/(A)`
from eq (i) , we get
`P_f = 8P_i`
` P_i/P_f = 1/8 or 1:8`
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