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If \(R_E\) be the radius of Earth, then the ratio between the acceleration due to gravity at a depth ' \(r\) ' below and…

Q1
PYQ

If \(R_E\) be the radius of Earth, then the ratio between the acceleration due to gravity at a depth ' \(r\) ' below and a height \(' r '\) above the earth surface is:

[JEE Main 2023, 10 Apr (Shift 2)]

a

\(1+\frac{r}{R_E}+\frac{r^2}{R_E^2}+\frac{r^3}{R_E^3}\)

b

\(1-\frac{r}{R_E}-\frac{r^2}{R_E^2}-\frac{r^3}{R_E^3}\)

c

\(1+\frac{r}{R_E}-\frac{r^2}{R_E^2}-\frac{r^3}{R_E^3}\)

d

\(1+\frac{r}{R_E}-\frac{r^2}{R_E^2}+\frac{r^3}{R_E^3}\)

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