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Physics
Physics
Problem
Two quantities are measured as
a
=
12.0
±
0.3
units
a = 12.0 \pm 0.3\,\text{units}
a
=
12.0
±
0.3
units
and
b
=
4.00
±
0.10
units
b = 4.00 \pm 0.10\,\text{units}
b
=
4.00
±
0.10
units
. A new quantity is defined by
q
=
(
a
b
2
)
1
/
3
.
q = \bigl(a\,b^{2}\bigr)^{1/3}.
q
=
(
a
b
2
)
1/3
.
The percentage uncertainty in
q
q
q
is a)
5.0
%
5.0\%
5.0%
b)
2.5
%
2.5\%
2.5%
c)
7.5
%
7.5\%
7.5%
d)
1.9
%
1.9\%
1.9%
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