Radius of first orbit of hydrogen is 0.53 ˙ A . The radius in fourth orbit is: Options: A . &nbsp8.48˙A B . &nbsp2.12˙A C . &nbsp4.24˙A D . &nbsp0.193˙A

Answer: Option A : A r n ∝ n 2 r 4 r 1 = [ 4 1 ] 2 = 16 r 4 = 16 × 0.53 = 8.48 ˙ A

Radius of first orbit of hydrogen is 0.53˙A. The radius in fourth orbit is

Question

Radius of first orbit of hydrogen is

0.53 ˙ A

. The radius in fourth orbit is:

Options:

A . 8.48˙A

B . 2.12˙A

C . 4.24˙A

D . 0.193˙A

Answer: Option A
:
A

r_{n} \propto n^{2}

\frac{r_{4}}{r_{1}} = {[\frac{4}{1}]}^{2} = 16

r_{4} = 16 \times 0.53

= 8.48 ˙ A

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