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A flase balance has equal arms. An objec...

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)`

Text Solution

Verified by Experts

The correct Answer is:
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)`
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