Assertion : A bubble comes from the bottom of | vedclass

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(A) The pressure at the bottom of a lake is higher than the pressure at the surface due to the weight of the water column above it $(P = P_{atm} + \rh

Vedclass · Accepted Answer

If both $Assertion$ and $Reason$ are correct and the $Reason$ is a correct explanation of the $Assertion$.

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(A) The pressure at the bottom of a lake is higher than the pressure at the surface due to the weight of the water column above it $(P = P_{atm} + ho gh)$.As the air bubble rises from the bottom to the top,it moves from a region of higher pressure to a region of lower pressure.According to Boyle's Law,for a fixed amount of gas at a constant temperature,$PV = 	ext{constant}$.Since the pressure $P$ decreases as the bubble rises,the volume $V$ of the bubble must increase.Since the volume of a spherical bubble is $V = \frac{4}{3}\pi r^3$,an increase in volume implies an increase in the radius $r$.Therefore,both the $Assertion$ and $Reason$ are correct,and the $Reason$ is the correct explanation for the $Assertion$.

$Assertion :$ $A$ bubble comes from the bottom of a lake to the top.
$Reason :$ Its radius increases.

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$Assertion :$ $A$ bubble comes from the bottom of a lake to the top.$Reason :$ Its radius increases.