Question

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

A
Both the arms are of same length.
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B
Every object that is weighed using this balance appears lighter than its actual weight.
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C
Left arm is longer than the right arm.
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D
Left arm is shorter than the right arm.
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Solution

## The correct option is D Left arm is shorter than the right arm.F1d1=F2d2Consider mass of pan be m,as the mass of the pan is same initially, so when the weight is not placed on the pan the force acting will be same as mg on both sides,∴ After the weight is placed on left pan,(5mg+mg)d1=mgd2d2=6d1Hence the left arm(in which 5mg was placed) is shorter than right arm.

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