Published by:
CGP EDU Academic Team
Published on: September 13, 2026
If the earth suddenly shrinks to 
th of its original volume with its mass remaining the same, the period of rotation of earth becomes 
. The value of x is
Text Solution
Verified by ExpertsThe correct answer is:
16
(16)
L = constant; L = I 
From the conservation of angular momentum,
Using 
for each case along with the respective angular frequencies,
Using T 1 = 24 h, x = 16 by comparing with the given time period in the question
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
A body of mass m is taken from earth surface to the height h equal to radius of earth, the increase…
An artificial satellite moving in a circular orbit around the earth has a total (kinetic + potentia…
On the x -axis and at a distance from the origin, the gravitational field due to a mass distributi…
The value of the acceleration due to gravity is at a height radius of the earth) from the surface…
The acceleration due to gravity on the earth's surface at the poles is and angular velocity of the…
A hollow spherical shell at outer radius R floats just submerged under the water surface. The inner…