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MHT CET 2017 Physics Solved Paper
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© examsnet.com
Question : 1
Total: 50
The frequencies for series limit of Balmer and Paschen series respectively are ‘
v
1
’ and ‘
v
3
' If frequency of first line of Balmer series is ‘
v
2
’ then the relation between ‘
v
1
, ‘
v
2
’ and ‘
v
3
’ is
v
1
−
v
2
=
v
3
v
1
+
v
3
=
v
2
v
1
+
v
2
=
v
3
v
1
−
v
3
=
2
v
1
Validate
Solution:
(a) Using
v
=
n
λ
,
1
λ
=
n
v
⇒
1
λ
=
R
(
1
n
1
2
−
1
n
2
2
)
⇒
v
=
R
c
(
1
n
1
2
−
1
n
2
2
)
∴
v
2
=
R
c
(
1
2
2
−
1
3
2
)
=
R
c
(
1
4
−
1
9
)
....(i)
v
1
=
R
c
(
1
2
2
)
=
R
c
4
v
3
=
R
c
(
1
3
2
)
=
R
c
9
⇒
v
1
−
v
3
=
R
c
(
1
4
−
1
9
)
From eqs. (i) and (ii),
v
1
−
v
3
=
v
2
⇒
v
1
−
v
2
=
v
3
© examsnet.com
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