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Question: Earth is revolving around the sun if the distance of the earth from the sun is reduced to 1/4<sup>th...

Earth is revolving around the sun if the distance of the earth from the sun is reduced to 1/4th of the present distance then the present length of the day is reduced by

A

¼

B

½

C

1/8

D

1/6

Answer

1/8

Explanation

Solution

T2 ∝ r3 T1 T2=(r/4r)3/2=18\frac { \mathrm { T } _ { 1 } } { \mathrm {~T} _ { 2 } } = \left( \frac { \mathrm { r } / 4 } { \mathrm { r } } \right) ^ { 3 / 2 } = \frac { 1 } { 8 }