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VITEEE 2016 Solved Paper
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© examsnet.com
Question : 39
Total: 125
A hydrogen atom is in an excited state of principal quantum number (n), it emits a photon of wavelength (λ), when it returns to the ground state. The value of n is
√
λ
R
λ
R
−
1
√
(
λ
R
−
1
)
λ
R
√
λ
(
R
−
1
)
√
λ
R
λ
R
+
1
Validate
Solution:
As
1
λ
= R
(
1
n
1
2
−
1
n
2
2
)
∴
1
λ
= R
(
1
12
−
1
n
2
)
Multiply both sides by λ
1 = λR
(
1
−
1
n
2
)
or
1
λ
R
= 1 -
1
n
2
or
1
n
2
= 1 -
1
λ
R
=
λ
R
−
1
λ
R
or n =
√
λ
R
λ
R
−
1
© examsnet.com
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