Let x = a ± b Further, let Δ a is the absolute error in the measurement of a, Δ b the absolute error in the measurement of b and Δ x is the absolute error in the measurement of x. Therefore, the maximum absolute error in x is, Δ x = ± ( Δ a + Δ b)
(i) Which of the following is dimensionless?
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Ans.
(i)
Sol. Δ a and a both have same units.
(ii)
Sol. Δ V = Δ V 1 + Δ V 2 ; Δ V 1 = 0.02 cm 3 V = V 1 + V 2 ; Δ V 2 = 0.01 cm
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