A physical quantity P is related to four observables a,b,c and d as follows P=a^3b^2÷(√cd). The percentage error in measuring a,b,c,d are 1%,3%,4% and 2% respectively. What is percentage error in calculation of P.
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Answer:
3.8
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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