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The time period is given by the expression T = 2 pi R / v
R-the radius of the earth and v- the speed with which the equatorial part moves.
Let us assume the speed to be the same. So as radius R is reduced to half of its value ie R/2 then the time period too is reduced to half. ie T/2

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Q: If the radius of earth be halved what will be the effect on time period?
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