In a physical balance working on the principl | vedclass

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(C) According to the principle of moments,when a system is in equilibrium,the anticlockwise moment is equal to the clockwise moment.Let $L_1$ be the l

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Left arm is shorter than the right arm

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(C) According to the principle of moments,when a system is in equilibrium,the anticlockwise moment is equal to the clockwise moment.Let $L_1$ be the length of the left arm and $L_2$ be the length of the right arm.Let $M$ be the mass of each pan.When the pans are empty,the balance is horizontal,implying $M 	imes L_1 = M 	imes L_2$,which means $L_1 = L_2$ (the arms are equal).However,if the balance is already horizontal with empty pans,adding a weight $W$ to the left pan would cause it to tilt unless the arms are unequal.Given the problem states the beam becomes horizontal with $5\, mg$ on the left,it implies that the left arm must be shorter to compensate for the added weight to maintain the balance.Therefore,the left arm is shorter than the right arm.

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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