Question

A flase balance has equal arms. An object weights `W_1` when placed in one pan and `W_2` when placed in the other pan. The true weight `W` of the object is.
A. `sqrt(xy)`
B. `(x+y)/(2)`
C. `(x^(2)+y^(2))/(2)`
D. `(sqrt(x^(2)+y^(2)))/(2)`

Answer 1

Correct Answer - B
Let the weights of the pans be `W_(1)` and `W_(2)` and true weight be `W`.
Then `(W+W_(1))l=(x+W_(2))l`…..(`1`)
and `(W+W_(2))l=(y+W_(1))l`…….(`2`)
`implies W=(x+y)/(2)`