A physical quantity P is related to four observables a, b, c and d as follows =
3
2
√
The percentage error of measurement in a,b,c and d are 1%, 3%, 4% and 2% respectively.
What is the percentage error in the quantity P?
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Answer:
P=
c
d
a
3
b
2
Maximum fractional error in P is given by
P
ΔP
=±[3
a
Δa
+2
b
Δb
+
2
1
c
Δc
+
d
Δd
]
On putting above value:
=±
100
13
=0.13
Percentage error in P=13 %
Value of P is given as 3.763.
By rounding off the given value to the first decimal place, we get P=3.8.
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