Question

The electrons in the hydrogen atom moves around the nucleus with a speed of 2.8 × 10 to the power 6 metre per second along a circular path of radius 5.3 × 10 to the power -8 metre. Calculate the equivalent current



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Answer 1

speed of an electron moves around the nucleus , v = 2.8 × 10^6 m/s

radius of circular path, r = 5.3 × 10^-8 m

here, time period of electron, T = distance covered in one complete revolution/speed of electron

or, T = 2πr/v

putting, r = 5.3 × 10^-8 m ,v = 2.8 × 10^6 m/s

so, time period, T = 2 × 3.14 × 5.3 × 10^-8/2.8 × 10^6

= 11.88 × 10^-14 sec

now equivalent current = charge on electron/time period

= 1.6 × 10^-19/11.88 × 10^-14

= 0.1346 × 10^-5

= 1.346 × 10^-6 A

hence, equivalent current is 1.346 × 10^-6 A.