An electron in the hydrogen atom is making 6 x 10 ^15 revolutions per second. Calculate the centripetal force if the radius of the circular orbit is 0.53A. (mass of an electron =9.1 x 10^-31 kg) ( calculate it in newton)
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We have,
f=6×1015H2 So,
ω (angular frequency)=2πf=2n×6×1015 rad/s
Radius of revolution=0.53A˙=5.3×10−11m
We know that,
Centripetal force = rmv2=rm(ωR)2=ω2m2
Mass of electron = 9.1×10−31 kg, so
Centripetal force = (9.1×10−31)(2π×6×1015)2(5.3×10−11)
=6.854×10−8N
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