If two stars of masses in the ratio 2 : 3 become black holes, their radii will be in the ratio of:

4 : 9

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3 : 2

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2 : 3

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9 : 4

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Solution

The correct option is C $2 : 3$
Schwarzschild radius is given by
$R = \frac{2 G M}{C^{2}}$
$R \propto M$
$\Rightarrow \frac{R_{1}}{R_{2}} = \frac{M_{1}}{M_{2}} = \frac{2}{3}$
Option C.

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