The distance through which one has to dig the earth from its surface so as to reach the point where the…

The distance through which one has to dig the earth from its surface so as to reach the point where the acceleration due to gravity is reduced by 40% of that at the surface of the earth, is (radius of earth is 6400 km)
  1. 2560km
  2. 3000km
  3. 3260km
  4. 1560km

Solution

Acceleration due to gravity, gd=g1-dR

⇒gdg=1-dR

⇒1-40100=1-dR

⇒dR=40100

⇒d=R40100=2560 km

Asked in: AP EAMCET 2021 (19 Aug Shift 2)

Practice more Gravitation questions on Aicharya