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JEE Advanced 2016Paper 1
Exam
JEE Advanced
Year
2016
Paper
Paper 1
Subject
Physics
Chapter
Atomic Physics

JEE Advanced 2016 · Paper 1 · Physics · Atomic Physics

A hydrogen atom in its ground state is irradiated by light of...

A hydrogen atom in its ground state is irradiated by light of wavelength 970Å.970Å . Taking hc/e = 1.237×10−6eV1.237 \times {10}^{- 6}eV m and the ground state energy of hydrogen atom as −13.6eV- 13.6eV , the number of lines present in the emission spectrum is

Correct answer

6

Step-by-step solution

hcλ=12370970\dfrac{hc}{\lambda} = \dfrac{12370}{970}
−13.6+12.7=−13.6n2- 13.6 + 12.7 = - \dfrac{13.6}{{n}^{2}}
n2=16{n}^{2} = 16
n=4n = 4
Number of lines =nC2=6= n{C}_{2} = 6
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