Two equal masses $m$ and $m$ are hung from a balance whose scale pans differ in height by $h$. If $\rho$ is the mean density of earth, then the error in weighing is

Question

Dr. Abubacker · Accepted Answer

(c) Error in weighing
$= mg - mg^{'} = mg - mg(1 - 2h/R)$
$= mg2h/R = \frac{m2hg}{R}$
$= \frac{m2h}{R} 	imes \frac{G\frac{4}{3}\pi R^{2}ho}{R^{2}} = \frac{8\pi Gho mh}{3}$

Q. Two equal masses $m$ and $m$ are hung from a balance whose scale pans differ in height by $h$. If $\rho$ is the mean density of earth, then the error in weighing is

Explanation

Reviewed by Dr. Abubacker

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