Question

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

• A. 15 g
• B. 13 g
• C. 10 g
• D. 12 g

Answer 1

Answer: (D)

12 g

From Eqs. (i) and (ii), we get

$\frac{p}{q}=\frac{w}{8}=\frac{18}{w}$

$w=\sqrt{18\times 8}=12g$