if the earth suddenly contract by one fourth of its present radius , by how much would the day be shortened ?
Ok lets start the answer:-
Present Earth Mass :- M
– – Radius:- R
Now, According to Question,
New Radius is R/4
And Earth Mass is same i.e. M
As we know
Then, Present T is 24hours→86400seconds
Now, New T will be
T’=2π/√(GM/R’³) (where R’ is R/4)
On solving and putting values,
i.e., T’=12hours [>>This is Answer<<]
Therefore, the answer is the day will be shortened by 12 hours as compared to real one!
I hope you like it!