box, (b) the difference in the
2.13 A physical quantity Pis related to four observables a, b, c and d as follows:
P=aºb?/(ved)
The percentage errors of measurement in a, b, c and d are 1%, 3%, 4% and 2%
respectively. What is the percentage error in the quantity P? If the value of P calculated
using the above relation turns out to be 3.763, to what value should you round of
the result?
Answers
Answered by
2
Explanation:
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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