1.

If the earth were to suddenly contract to (1)/(n)th of its present radius without any change in its mass, the duration of the new day will be nearly

Answer»

`(24)/(n)h`
24n b
`(24)/(n^(2))h`
`24n^(2)h`

Solution :ACCORDING to LAW of conservation of angular momentum `I_(1)omega_(1)=I_(2)omega_(2)`
`(2)/(5)MR^(2)((2PI)/(T_(1)))=(2)/(5)M((R )/(n))^(2)(2pi)/(T_(2))`
`rArr T_(2)=(T_(1))/(n_(2))=(24)/(n^(2))h""`(`:. T_(1)=24`hours)


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