A drop of water of mass 18×10−6kg falls away from the bottom of a charged conducting sphere ( 2.5×10−6 C ) of radius 20cm carrying with it charge of 10−9 coulomb . What is the speed of the drop when it has fallen 30cm?ε0=14π×9×109 g=9.8m/s2
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Detailed Solution
From law of conservation of energy mechanical energy at A= Mechanical energy at BTake point B as reference point (zero gravitational potential energy),∴mg0.3+14πε0q1q20.2=0+12mv 2+ q1q24πε010.2+0.3 Whre m=18×10−6kg q1=2.5×10−6c q2=10−9c by solving it v=3.65 m/s