If the acceleration due to gravity experienced by a point mass at a height h above the surface of earth is same as that of the acceleration due to…

Question

If the acceleration due to gravity experienced by a point mass at a height $h$ above the surface of earth is same as that of the acceleration due to gravity at a depth $α h (h ≪ R_{e})$ ) from the earth surface. The value of $α$ will be _____ .

(use $R_{e} = 6400 km$ )

MARKS Content Team · Accepted Answer

Correct answer: 2. Acceleration due to gravity at a height h above the earth's surface is given by g1-2hR_e And acceleration due to gravity at depth d below the earth surface is given by g1-dR_e. As g_above=g_below So, g1-2hR_e=g1-dR_e ⇒2hR_e=dR_e ⇒αh=d Thus, the value of α=2.

If the acceleration due to gravity experienced by a point mass at a height $h$ above the surface of earth is same as that of the acceleration due to gravity at a depth $α h (h ≪ R_{e})$ ) from the earth surface. The value of $α$ will be _____ .
(use $R_{e} = 6400 km$ )

Solution

Relevant Questions

If the acceleration due to gravity experienced by a point mass at a height h above the surface of earth is same as that of the acceleration due to gravity at a depth αhh≪Re ) from the earth surface. The value of α will be _____ .(use Re=6400 km)

Solution

Relevant Questions

If the acceleration due to gravity experienced by a point mass at a height $h$ above the surface of earth is same as that of the acceleration due to gravity at a depth $α h (h ≪ R_{e})$ ) from the earth surface. The value of $α$ will be _____ .
(use $R_{e} = 6400 km$ )