A body weight 8 g when placed in one pan and 18 g when placed on the other pan of a false balance. If the beam is horizontal when both the pans are empty. The true weight of the body is

Question

Dr. Abubacker · Accepted Answer

(b) $8x = wy$
$\frac{x}{y} = \frac{w}{8}\ $ …(i)
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$wx = 18y$
$\frac{x}{y} = \frac{18}{w}$ …(ii)
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Dividing Eq. (i) by Eq. (ii)
$\frac{\frac{x}{y}}{\frac{x}{y}} = \frac{\frac{w}{8}}{\frac{18}{w}}$
$\Rightarrow \ w = \sqrt{18 	imes 8} = 12g$

Q. A body weight 8 g when placed in one pan and 18 g when placed on the other pan of a false balance. If the beam is horizontal when both the pans are empty. The true weight of the body is

Explanation

Reviewed by Dr. Abubacker

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