Question

If the electron of hydrogen atom is moving with a speed of 2 into 10 power 6 metre per second in a circular orbit of radius 5 into 10 power minus 11 then the current in the orbit is?

Answer 1

Answer:

r=5×10 −11

r=5×10 −11 v=2.2×10 6m/s

v=2.2×10 6m/stime period,T= v2πr

v=2.2×10 6m/stime period,T= v2πrcurrent = charge passing per unit time

v=2.2×10 6m/stime period,T= v2πrcurrent = charge passing per unit timeI= tq

v=2.2×10 6m/stime period,T= v2πrcurrent = charge passing per unit timeI= tqt= v2πr

v=2.2×10 6m/stime period,T= v2πrcurrent = charge passing per unit timeI= tqt= v2πrI= 2πrq.v

v=2.2×10 6m/stime period,T= v2πrcurrent = charge passing per unit timeI= tqt= v2πrI= 2πrq.v= 5×10 −11×2π1.6×10 −19×2.2×10

6= 5×2π

5×2π1.6×2.2×10 −2=1.12×10 −3A

I=1.12ma (REQUIRED ANSWER).