In an atom two electrons move around the nucleus

Asked by admin @ 17/08/2021 in Chemistry viewed by 301 People

In an atom two electrons move around the nucleus in circular orbit of radii R and 4R. The ratio of time taken by them to complete one revolution is

(a)1:8 (b)4:1 (c)1:4 (d)8:7

Answered by admin @ 17/08/2021

Answer:

1 : 8

Explanation:

Given In an atom two electrons move around the nucleus in circular orbit of radii R and 4R. The ratio of time taken by them to complete one revolution is

Given v is proportional to 1/√r

v ∝ 1/√r

So v a ∝ 1/√r

vb ∝ 1/√4 r

va / vb = 2

Now ta / tb = 2πr / va / 2 π (4 r) / vb

= vb / 4 va

= 1/4 x vb / va

= 1/4 x 1/2

= 1/8

= 1 : 8

The ratio of time taken by them to complete one revolution is 1:8

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