​ The value of the acceleration due to gravity is g1 at a height h = R/2 (R = radius of the earth) from the surface of the earth. ​

Question

The value of the acceleration due to gravity is g₁ at a height h =\(\frac{R}{2}\) (R = radius of the earth) from the surface of the earth. It is again equal to g₁ at a depth d below the surface of the earth. The ratio d (\(\frac{d}{R}\)) equals

(1) \(\frac{5}{9}\)

(2) \(\frac{1}{3}\)

(3) \(\frac{7}{9}\)

(4) \(\frac{4}{9}\)

Answer 1

 Correct answer is (1) \(\frac{5}{9}\)