Question

The beam and pans of a balance have negligible mass. An object weight `W_1` when placed in one pan and `W_2` when placed in the other pan. The weights `W` of the object is.
A. `sqrt(W_1 W_2)`
B. `sqrt(W_1^2 + W_2^2)`
C. `(W_1 + W_2)/(2)`
D. `(2 W_1 W_2)/(W_1 + W_2)`

Answer 1

Correct Answer - A
(a) `W_1 l_1 = W l_2`…(1)
For second case `W l_1 = W_2 l_2` …(2)
(1) div (2) rArr `W = sqrt(W_1 W_2)`.