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प्रश्न
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.
पर्याय
100 days
105 days
115 days
108 days
MCQ
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उत्तर
108 days
Explanation:
In the absence of external torque, angular momentum is conserved.
I1ω1 = I2ω2
`(2/5 MR_1^2)((2pi)/(T_1)) = (2/5 MR_2^2)((2pi)/T_2)`
`T_2 = T_1((R_2)/(R_1))^2`
= `27 xx ((2R_1)/(R_1))^2`
= 27 × 4
= 108 days
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Conservation of Angular Momentum
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