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The beam and pans of a balance have negl...

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)`

Text Solution

Verified by Experts

The correct Answer is:
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)`.
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Knowledge Check

  • A false 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
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  • A false balance has equal arms. An object weigh X when placed in one pan and Y when placed in other pan, then the weight W of the object is equal to

    A
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  • A physical balance has its arms of unequal length. A body weight 18 kg if kept in one pan and weight 8 kg. If kept in the other pan. The true weight of the body is

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