At what depth below the surface of the Earth does the acceleration due to gravity become zero?
A. At the center of the Earth
B. At a depth equal to one-fourth the radius of the Earth
C. It never becomes zero
D. At a depth equal to half the radius of the Earth
Answer: Option A
Solution (By JKSSB Mock Tests)
The acceleration due to gravity at a depth 'd' is given by g' = g(1 - d/R), where R is the radius of the Earth. If we go to the center of the Earth, the depth 'd' becomes exactly equal to R. Substituting d = R into the formula gives g' = g(1 - R/R) = g(1 - 1) = 0. So, gravity is zero at the core.
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