Select the correct statement out of the follo | vedclass

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Question

(A) The acceleration due to gravity $g$ at a height $h$ is given by $g_h = g(1 - 2h/R)$ for $h < R$.

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Acceleration due to gravity decreases as we go up or down from the earth's surface.

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(A) The acceleration due to gravity $g$ at a height $h$ is given by $g_h = g(1 - 2h/R)$ for $h The acceleration due to gravity $g$ at a depth $d$ is given by $g_d = g(1 - d/R)$. Since both $g_h$ and $g_d$ are less than $g$, option $A$ is correct. For option $B$, $g_h = g(1 - 2h/R)$ and $g_d = g(1 - d/R)$. For $g_h = g_d$, we must have $2h = d$, so $h=d$ is incorrect. For option $C$, the fractional change is $\Delta g/g = 2h/R = 2(640)/6400 = 0.2 = 20\%$, so $10\%$ is incorrect. For option $D$, the effective gravity at the poles is not affected by the earth's rotation because the centrifugal force is zero at the poles ($F_c = m\omega^2r$, where $r=0$). Thus, option $D$ is incorrect.

Select the correct statement out of the following:

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