T is the time period of simple pendulum on the earth's surface. Its time period becomes xT when taken to a height R (equal to earth's radius) above the earth's surface. Then, the value of x will be:
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T is the time period of simple pendulum on the earth's surface. Its time period becomes xT when taken to a height R (equal to earth's radius) above the earth's surface. Then, the value of x will be:

G1 Physics · Accepted Answer

At height h = R, g′ = g/(1 + h/R)² = g/4. Since T ∝ 1/√g, T′/T = √(g/g′) = 2. Hence x = 2.