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%`

A spherical air bubble is rising from the depth of a lake when pressur

1.	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%`
Answer» Correct Answer - A `(P_(1)V_(1))/(T_(1)) = (P_(2)V_(2))/(T_(2)) , V_(1) =` initial volume, `V_(2) =` final volume `(P V_(1))/(T) = (P)/(4) xx (V_(2))/(2T)` `V_(1) = (V_(2))/(8)` `V_(2) = 8V_(1)` `V_(2) = 8 xx (4)/(3) pi ^(3) = (4)/(3) pi (8r)^(3)` New radius `= 2r` ( `:.` 100% radius will increase)

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