In a hydrogen like atom, electron makes the transition from an energy level with quantum number n to another with a quantum number (n – 1). If n >> 1, the frequency of radiation emitted is proportional to

1/n

1/n²

1/n^3/2

1/n³

Solution

1/n³

An energy gap, ΔE = hv
Here, h is Planck's constant
therefore,
Frequency
$straight v space equals space fraction numerator increment straight E over denominator straight h end fraction space equals space straight k space open square brackets fraction numerator 1 over denominator left parenthesis straight n minus 1 right parenthesis squared end fraction minus 1 over straight n squared close square brackets rightwards double arrow space straight v space equals fraction numerator straight k 2 straight n over denominator straight n squared left parenthesis straight n minus 1 right parenthesis squared end fraction space straight v space proportional to 1 over straight n cubed$

Some More Questions From Wave Optics Chapter

Answer the following questions, which help you understand the difference between Thomson's model and Rutherford's model better.
Is the probability of backward scattering (i.e., scattering of α-particles at angles greater than 90°) predicted by Thomson's model much less, about the same, or much greater than that predicted by Rutherford's model?

Answer the following questions, which help you understand the difference between Thomson's model and Rutherford's model better.
Keeping other factors fixed, it is found experimentally that for small thickness t, the number of α-particles scattered at moderate angles is proportional to t. What clue does this linear dependence on t provide?

Answer the following questions, which help you understand the difference between Thomson's model and Rutherford's model better.
In which model is it completely wrong to ignore multiple scattering for the calculation of average angle of scattering of α-particles by a thin foil?

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Wave Optics

In a hydrogen like atom, electron makes the transition from an energy level with quantum number n to another with a quantum number (n – 1). If n >> 1, the frequency of radiation emitted is proportional to

1/n

1/n²

1/n^3/2

1/n³

Some More Questions From Wave Optics Chapter

Answer the following questions, which help you understand the difference between Thomson's model and Rutherford's model better.
In which model is it completely wrong to ignore multiple scattering for the calculation of average angle of scattering of α-particles by a thin foil?

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NCERT Sample Papers

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For Daily Free Study Material Join wiredfaculty

Wave Optics

In a hydrogen like atom, electron makes the transition from an energy level with quantum number n to another with a quantum number (n – 1). If n >> 1, the frequency of radiation emitted is proportional to 1/n 1/n2 1/n3/2 1/n3

Some More Questions From Wave Optics Chapter

Answer the following questions, which help you understand the difference between Thomson's model and Rutherford's model better.In which model is it completely wrong to ignore multiple scattering for the calculation of average angle of scattering of α-particles by a thin foil?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

In a hydrogen like atom, electron makes the transition from an energy level with quantum number n to another with a quantum number (n – 1). If n >> 1, the frequency of radiation emitted is proportional to

1/n

1/n²

1/n^3/2

1/n³

Answer the following questions, which help you understand the difference between Thomson's model and Rutherford's model better.
In which model is it completely wrong to ignore multiple scattering for the calculation of average angle of scattering of α-particles by a thin foil?