Question
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.
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.
D. 108 days
Angular Momentum conservation array l|l I _1 _1= I _2 _2 & M = same \\ _2= _1 4 & R _2=2 r _1 \\ T= 2 & I r ^2 \\ & I _2=4 I _1 \\ & ~T _1=27 day array aligned & T _2=4 ~T _1=4 27 \\ & ~T _2=108 days aligned
Related: Physics — Rotational Motion · All PYQ Banks