A physical quantity is given as P and percentage
у
error in x and y is 1% and 2% respectively. The
percentage error in P will be
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Explanation:
The percentage errors for A,B,C,D are respectively 1%, 2%, 4% and 2%
The formula for Q is, Q=
C
4
D
2
1
A
2
B
2
3
So from the formula of error calculation:
The percentage error in Q=
Q
ΔQ
×100
Q
ΔQ
×100 =2
A
ΔA
×100+3/2
B
ΔB
×100+4
C
ΔC
×100+1/2
D
ΔD
×100
=2×1+
2
3
×2+4×4+
2
1
×2
=22% = (20+2)
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