Question

a²b²c2
A physical quantity Q =
If the percentage
errors in the measurement of 'a', 'b', 'c' and x are 1%,
296,3%, 4% respectively, what is the percentage error
in the measurement of Q?
(a) 24%
(b) 12%
(c) 69
(d) 8%​

Answer 1

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Q = a²b²c²x

ΔQ/Q = 2Δa/a + 2Δb/b + 2Δc/c + Δx/x

Given that,

Δa/a = 1%

Δb/b = 2%

Δc/c = 3%

Δx/x = 4%

Therefore,

ΔQ/Q = 2*1 + 2*2 + 2*3 + 4

ΔQ/Q = 2 + 4 + 6 + 4 = 16%

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