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Question: Answered & Verified by Expert
If the angular velocity of earth's spin is increased such that the bodies at the equator start floating, the duration of the day would be approximately :
(Take : g=10 ms-2, the radius of earth, R=6400×103 m, Take π=3.14)
PhysicsMotion In Two DimensionsJEE MainJEE Main 2021 (18 Mar Shift 2)
Options:
  • A 60 minutes
  • B does not change
  • C 1200 minutes
  • D 84 minutes
Solution:
2069 Upvotes Verified Answer
The correct answer is: 84 minutes

For objects to float, 

mg=mω2R

ω= angular velocity of the earth.

R= Radius of earth

ω=gR   ...1

Duration of day =T

T=2πω   ...2

T=2πRg

=2π6400×10310

T60=83.775 minutes

84 minutes

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