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Q.

Two planets at mean distance d₁ and d₂ from the sun and their frequencies are n₁ and n₂ respectively then

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a

$n_{1}^{2} d_{1} = n_{2}^{2} d_{2}$

b

$n_{1}^{2} d_{1}^{2} = n_{2} d_{2}^{2}$

c

$n_{2}^{2} d_{2}^{3} = n_{1}^{2} d_{1}^{3}$

d

$n_{1} d_{1}^{2} = n_{2} d_{2}^{2}$

answer is B.

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Detailed Solution

detailed_solution_thumbnail

$\frac{T^{2}}{R^{3}} = \frac{T^{2}}{d^{3}} = \frac{1}{n^{2} d^{3}} = constant$

$∴ n_{1}^{2} d_{1}^{3} = n_{2}^{2} d_{2}^{3}$ [where n = frequency]

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