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Q.

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 is horizontal when both the pans are empty, the true weight of the body is 4xg. Find value of x.

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answer is 3.

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Detailed Solution

In false balance, l1≠l2Moments about O should be zero.∴ w1/1=w⋅/2w/1=w2/2Dividing two equations, we getw1w=ww2w=w1w2=(8×18)g=12g
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