Acceleration due to gravity on the surface of the earth is \( g=\frac{G M}{R^{2}} \). The gravit...

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Acceleration due to gravity on the surface of the earth is \( g=\frac{G M}{R^{2}} \). The gravitational constant \( G \) is exactly known. But percentage error in measurement of the mass of earth \( M \) and radius of the earth \( R \) are \( 1 \% \) and \( 2 \% \). Respectively. The maximum percentage error is measurement of acceleration due to gravity on the surface of the earth in \( n \% \). Find the value of \( n \)
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