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Question

If earth shrinks to 164 of its volume with mass remaining same, duration of day will be

A
1.5 h
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B
3 h
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C
4.5 h
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D
6 h
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Solution

The correct option is A 1.5 h
Ifthevolumeofearthsuddenlyshirnksto164ofitsoriginalvolumethen,theradiusoftheearthwilldecreaseto14ofitsoriginalradius.I¯¯¯ω=constant(25MR2)(2πT)=25M(R4)22πT1T=116TT=T15=2416hr=1.5hr
Hence,
option (A) is correct answer.

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