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A spherical air bubble is rising from th...

A spherical air bubble is rising from the depth of a lake when pressure is `P atm` and temperature is `T K`. The percentage increase in the radius when it comes to the surface of a lake will be (Assume temperature and pressure at the surface to be, respectively, `2T K` and `P//4`.)

A

`100%`

B

`50%`

C

`40%`

D

`200%`

Text Solution

Verified by Experts

`(P_(1)V_(1))/(T_(1))=(P_(2)V_(2))/(T_(2))`, [`V_(1)=` initial, `V_(2)=` final volume]
`(PV_(1))/(T)=(P)/(4)xx(V_(2))/(2T)impliesV_(1)=(V_(2))/(8)implies V_(2)=8V_(1)`
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