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Q.

The ratio of area covered by second orbit to the first orbit is

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a

1 : 2

b

1 : 16

c

8 : 1

d

16 : 1

answer is D.

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Detailed Solution

$r_{n} \propto n^{2} : A_{n} \propto n^{4} \frac{A_{2}}{A_{1}} = \frac{n_{2}^{4}}{n_{1}^{4}} = \frac{2^{4}}{1^{4}} = \frac{16}{1} = 16 : 1$

where $r_{n = radius of orbit, A_{n} = area of orbit}$

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