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Question

Question: A balance has pans of unequal weight and arms of unequal length. A body is weighted by such a beam b...

A balance has pans of unequal weight and arms of unequal length. A body is weighted by such a beam balance. The beam is balanced with body in one pan and 8 kg weight in other pan. When pans are interchanged beam is balanced by 18 kg weight in other pan. The correct mass of body is –

A

13 kg

B

12 kg

C

10 kg

D

Data given insufficient

Answer

12 kg

Explanation

Solution

m = 8×18\sqrt { 8 \times 18 } = 144\sqrt { 144 } = 12 kg