A physical quantity P is given by the formula P = ab2c3d4 . If percentage error in measurement of a ,b ,c, d is 1 each . Find the percentage error in measurement of
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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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