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Question: A body weights 24.2g when placed in one pan of a balance and 20g when placed in other. What is the t...

A body weights 24.2g when placed in one pan of a balance and 20g when placed in other. What is the true mass of the body if the arms have unequal length ?

A

24.2g

B

20 g

C

22 g

D

22.1 g

Answer

22 g

Explanation

Solution

M = M1M2\sqrt { \mathrm { M } _ { 1 } \mathrm { M } _ { 2 } }

M = 24.2×20\sqrt { 24.2 \times 20 } = 484\sqrt { 484 } = 22 g