JEE Main · 2023 · 24 Jan 2023 · Shift 2 · Gravitation

At a height $h$ above the surface the gravity is $g_h=\frac{g}{(1+h/R{)}^2}$, and at a depth $d$ below it the gravity is $g_d=g\left(1-\frac{d}{R}\right)$; both lie below the surface value, so gravity decreases whether one moves up or down. For small $h$, $g_h\approx g\left(1-\frac{2h}{R}\right)$, while $g_d=g\left(1-\frac{d}{R}\right)$. With $h=d$ the height expression falls off twice as fast as the depth expression, so the two are unequal. Hence the first statement is correct and the second is not.