in the measurement of a physical quantity x = a√b/c2 . the percentage error in measurement of the quantities a, b, c are 1%, 2% and 2% respectively. then find the maximum possible percentage error in x?
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C
X=
C
1/3
D
3
A
2
B
So, fractional error in the measurement of X is:
X
ΔX
=
A
2ΔA
+
B
ΔB
+
3
1
C
ΔC
+
D
3ΔD
=(2×2)+2+(
3
1
×4)+(3×5)
(
3
1
×4⇒ Minimum error out of the four)
Hence, minimum error is contributed by C.
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