Question
A small meteorite of mass 'm' travelling towards the centre of earth strikes the earth at the equator. The earth is a uniform sphere of mass 'M' and radius 'R'. The length of the day was 'T' before the meteorite struck. After the meteorite strikes the earth, the length of day increases (in sec) by
Answer: Option A
:
A
I1ω1=I2ω2
25MR2×(2πT1)=(25MR2+mR2)2πT2
T2T1=1+5m2M
T2−T1T1=5m2M
T2−T1=5mT2M [i.e;T1=T]
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:
A
I1ω1=I2ω2
25MR2×(2πT1)=(25MR2+mR2)2πT2
T2T1=1+5m2M
T2−T1T1=5m2M
T2−T1=5mT2M [i.e;T1=T]
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