Solution : The beam and pans of a balance has negligible mass. When an object of weight W is placed in pan 1, then the weight of pan 2 is W1.

Therefore, W × l1 = W1 × L2 - (i)

Now, the object of weight W is placed in pan 2, the weight of pan 1 is W2.

Therefore, W2 × L1 = W × L2 - (ii)

Now, by comparing the equations, we get,

• W/W2 = W1/W

• W² = W1 × W2

• W = √W1W2

Therefore, option 1 is correct.

Explanation:

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