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Q. The average mass of rain drops is $3.0 \times 10^{-5}$ kg and their average terminal velocity is $9\, m/s.$ Calculate the energy transferred by rain to each square metre of the surface at a place which receives $100\, cm$ of rain in a year.

JEE MainJEE Main 2014Mechanical Properties of Fluids

Solution:

$E = \frac{1}{2} \left(1 \times 0 \times 10^{4}\right) \times 81$
$= 500\times 81$
$= 40500\,J$
$= 4.05\times 10^{4}\,J$