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AIEEE 2004 Physics Solved Paper
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© examsnet.com
Question : 40
Total: 78
The resistance of the series combination of two resistances is
S
. When they are jointed in parallel the total resistance is
P
. If
S
=
n
P
then the Minimum possible value of
n
is
2
3
4
1
Validate
Solution:
S
=
R
1
+
R
2
and
P
=
R
1
R
2
R
1
+
R
2
S
=
n
P
⇒
R
1
+
R
2
=
n
(
R
1
R
2
)
(
R
1
+
R
2
)
⇒
(
R
1
+
R
2
)
2
=
n
R
1
R
2
⇒
n
=
R
1
1
+
R
2
2
+
R
1
R
2
R
1
R
2
n
=
R
1
R
2
+
R
2
R
1
+
2
Arithmetic mean
>
Geometric mean
Minimum value of
n
is 4
© examsnet.com
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