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CGPET 2011 Solved Paper
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© examsnet.com
Question : 2
Total: 150
If
L
,
C
,
R
are respectively the inductance, capacitance and resistance, the quantities of dimensions same as of frequency are
1
√
LC
,
R
L
and
1
RC
√
LC
,
L
R
and RC
√
L
C
, LR and
C
R
√
C
L
,
1
LR
and
R
C
Validate
Solution:
Dimension of
1
√
LC
=
1
[
ML
2
T
−
2
A
−
2
]
1
∕
2
[
M
−
1
L
−
2
T
4
A
2
]
1
∕
2
=
1
[
T
]
=
[
T
−
1
]
Dimension of
R
L
=
[
ML
2
T
−
3
A
−
2
]
[
ML
2
T
−
2
A
−
2
]
=
[
T
−
1
]
Dimension of
1
RC
=
1
[
ML
2
T
−
3
A
−
2
]
[
M
−
1
L
−
2
T
4
A
2
]
=
[
T
−
1
]
Dimension of frequency
=
[
T
−
1
]
Hence
1
√
LC
,
R
L
and
1
RC
have the same dimension as frequency.
© examsnet.com
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