MediumPhysicsbinomial
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If acceleration due to gravity g at height h << R (where R is radius of earth) is gh = g0(1 + h/R)−2, then using binomial theorem which is correct?
A
gh = g0
B
gh = g0(1 − 2h/R)
C
gh = g0(1 + 2h/R)
D
gh = g0(1 − h/2R)
Explanation
Given gh = g0(1 + h/R)−2. Using binomial approximation, (1 + x)−2 ≈ 1 − 2x for x << 1. Therefore gh ≈ g0(1 − 2h/R)
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