Question

In a H-atom, an electron moves in a circular orbit of radius 5.2 × 10^–11 meter and produces a mag. field of 12.56 Tesla at its nucleus. The current produced by the motion of the electron will be _______ Amp.

(a) 6.53 × 10^–3 

(b) 13.25 × 10^–10 

(c) 9.6 × 10⁶ 

(d) 1.04 × 10^–3

Answer 1

 The correct option (d) 1.04 × 10^–3

Explanation:

For a circular loop, B = [(μ₀I)/2a]

given  B = 12.56 T

a = 5.2 × 10^–11 m

∴ 12.56 = [(4π × 10^–7 × I)/(2 × 5.2 × 10^–11)]

I = [(130.62 × 10^–11)/(4π × 10^–7)]

∴  I = 1.04 × 10^–3A