In a physical balance working on the principle of moments, when 5 mg weight is placed on the left pan, the beam becomes horizontal. Both the empty pans of the balance are of equal mass. Which of the following statements is correct?

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Left arm is longer than the right arm

Left arm is shorter than the right arm

Both the arms are of same length

Every object that is weighted using this balance appears lighter than its actual weight

answer is A.

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Detailed Solution

$F_{L} d_{L} = F_{R} d_{R}$ is the condition for balance in a simple balance.

Given that the balance is horizontal when there is a weight in the left pan.

$\Rightarrow F_{L} > F_{R}$

$∴ d_{L} < d_{R}$

Hence the correct answer is Left arm is shorter than the right arm .

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