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Standard X
Physics
Gravitational Force
If Z = A /A-B...
Question
If Z = A /A-B and A and B are measured with error *A and *B respectively then relative error in Z that is *Z /Z is equal to
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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.
Relative error in Z, given that Z = 1/A
2
is:
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 %).
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
?
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