As per the question,
Mass of the spherical star=M
Radius of the spherical star= R
Radius of the other star=10−5R
rotational speed of the first starω1=1/25rev/day
rotational speed of the second star ω2=?
Now, applying the conservation of angular momentum,
I1ω1=I2ω2
⇒ω2=I2I1ω1=251010=4×108rev/day
ω2=4.6×103rev/sec
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