A physical quantity is given by relation z = ab2/c where a= (5.34+-0.01)g, (3.2+-0 1)cm and c= 0.42+-0.01)s find relative error in z
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A Physical Quantity Z is given by the formula Z = ab²c.
''By the definition of relative error in multiplication subjects, total relative error is equal to the sum of the relative error of each quantity multiplied by the same numbers as the power raised too...''
Thus, the Relative error in the Physical Quantity Z = Relative error in a + 2 × Relative error in b + Relative error in c.
Now, Total relative error = 0.01 + 0.1 × 2 + 0.01
= 0.02 + 0.2
= 0.22
Hence, the total relative error in z is 0.22
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