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← JEE Main 2014 · 11 Apr · Shift 1
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JEE Main 2014 · 11 Apr · Shift 1, Physics question 5

The average mass of rain drops is 3.0×10−53.0\times10^{-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.

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Answer and worked solution

Official answer: B

One metre of rain on 1 m² is 1 m³, i.e. 1000 kg of water. Its kinetic energy is
12×1000×92=4.05×104 J.\tfrac12\times1000\times9^2=4.05\times10^4\text{ J}.
(The drop mass is not needed.)