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  • The Sun rotates around its centre once in 27 days. What will be the period of revolution if the Sun were to expand to twice its present radius without any external influence?

Q.28) The Sun rotates around its centre once in 27 days. What will be the period of revolution if the Sun were to expand to twice its present radius without any external influence? Assume the Sun to be a sphere of uniform density.

A) 108 days

B) 100 days

C) 105 days

D) 115 days

Answers (1)

best_answer

If the sun were to expand, its angular momentum would remain constant. 

We know,

$L \propto \frac{I}{T} \propto \frac{R^2}{T}$

Given, $R_2 = 2 R_1$ and $T_1 = 27 \text{days}$

$\therefore \frac{R_1^2}{27 \text{days}} = \frac{4R_1}{T_2}$
$T_2 = 4 \times 27 = 108 \text{days}$

Hence, the answer is the option 1.

 

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