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Byju's Answer
Standard XII
Physics
The 'e' Equation
find the rela...
Question
find the relative error in Z ,if Z=A^4B^{1/3}/CD^{3/2}AND THE percentage error in the measurement of A,B,CandD are 4%,2%,3%,1%
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Q.
If
Z
=
A
4
B
1
/
3
C
D
3
/
2
and
Δ
A
,
Δ
B
,
Δ
C
, and
Δ
D
are their absolute errors in A, B, C and D respectively. The relative error in Z is then
Q.
A physical quantity
z
depends on four observables
a
,
b
,
c
and
d
, as
z
=
a
2
b
(
2
/
3
)
√
c
d
3
. The percentages of error in the measurement of
a
,
b
,
c
and
d
are
2
%
,
1.5
%
,
4
%
and
2.5
%
respectively. The percentage of error in
z
is
Q.
Given
A
=
x
p
y
q
z
r
. The percentage errors in measurement of
x
,
y
and
z
are 1 %, 0.5 % and 2% respectively. If
p
=
3
,
q
=
2
and
r
=
1
then the maximum percentage error in A is
Q.
In the given formula
A
=
x
y
√
z
. The percentage errors of measurements in
x
,
y
and
z
are
2
%
,
3
%
and
1
%
respectively. What is the percentage error in quantity
A
?
Q.
The percentage error in the measurement of a quantity Z which is related to two other quantities as Z =
x
−
1
y
+
1
is due to the percentage error in the measurement of x and y which are 2% and 1% respectively. Find the maximum fractional error in Z (in %).
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