1.

If two lengths a and b are given as: a = 25.4 cm +- 0.1 cm and b= 16.5 cm +- 0.4 cm. Then find a +b.

Answer»

SOLUTION : Let Q = a + b
Average value of Q = 25.4 + 16.5 = 41.9 cm
Also, MAXIMUM value of Q = (25.4 + 0.1)+ (16.5 + 0.4) 42.4 cm .
`:.`Magnitude of maximum ERROR in Q
= 42.4 - 41.9 = 0.5 cm
Q = a + b =(`41.9 +- 0.5`) cm


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