When the height above the Earth’s surface is very small compared with the Earth’s radius

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

When the height

h

above the Earth’s surface is very small compared with the Earth’s radius

R\,(h\ll R)

, the percentage decrease in the acceleration due to gravity is approximately (a)

\dfrac{h}{R}\times 100\%

(b)

\dfrac{2h}{R}\times 100\%

(c)

\dfrac{h}{2R}\times 100\%

(d)

\dfrac{4h}{R}\times 100\%