In an atom, two electrons revolve around the nucleus in circular orbits of radii r and 4r. The ratio of the time taken by them (T 2 : T 1 ) to complete one revolution is

Question

In an atom, two electrons revolve around the nucleus in circular orbits of radii r and 4r. The ratio of the time taken by them (T 2 : T 1 ) to complete one revolution is, 1:4, 4:1, 1:8, 8:1

MARKS App · Accepted Answer

r n = n 2 × η r 2 = 4 η T n = n 3 Z 2 × 1.5 × 1 0 - 16 s e c T 1 = 1 3 1 2 × 1.5 × 1 0 - 16 s e c T 2 = 2 3 1 2 × 1.5 × 1 0 - 16 s e c On dividing T 2 by T 1 we get T 2 T 1 = 8 1 or T 1 T 2 = 1 8

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