Q51 / 104 · NTA Abhyas (JEE Main) 2020 · Physics · Atomic Physics

A Bohr hydrogen atom undergoes a transition n=5→n=4 and emits a photon of frequency ν. Frequency of circular motion of an electron in n=4 orbit is ν4. The ratio νν4 is

  • Correct answer
    A
    1825
  • B
    1625
  • C
    925
  • D
    825

Solution

En=-mz2e48ε02n2h2

So, hν=+mz2e48ε02h2116-125

∴ ν=mz2e48ε02h3916×25  ...(1)

And frequency ν4=1T=v2πr

=Ze22ε0nh12π πmze2ε0h2n2=z2e4m4ε02n3h3 ...(2)

∴ νν4=1825=0.72

Hence, the correct answer is option: 'A'.

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