Questions
At what depth below the surface of the earth, acceleration due to gravity is will be half its value 1600 km above the surface of the earth?
a
4.2×106m
b
3.19×106m
c
1.59×106m
d
None of these
detailed solution
Correct option is A
Radius of earth R=6400km⇒h=R4Acceleration due to gravity at a height hgh=gRR+h2=gRR+R42=1625gAt depth d, value of acceleration due to gravitygd=12gh (According to problem)⇒ gd=121625g⇒g1−dR=121625gBy solving we get d=4.3×106mTalk to our academic expert!
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