The radius of a hydrogen atom in its ground state is \(5.3\times 10^{-11}\) m. After collision with an electron, it is found to have a radius of \(21.2\times 10^{-11}\) m. What is the principal quantum number n of the final state of the atom?
1. \(n=4\)
2. \(n=2\)
3. \(n=16\)
4. \(n=3\)

Subtopic:  Bohr's Model of Atom |
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In terms of Bohr radius a0, the radius of the second Bohr orbit of a hydrogen atom is given by [1992]

1. 4a0 

2. 8a0 

3. 2a0     

4. 2a0

Subtopic:  Bohr's Model of Atom |
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 An x-ray tube is operating at 30 kV then the minimum wavelength of the x-rays coming out of the tube is:

1. 1.24 A0

2. 0.413 A0 

3. 0.124 A0 

4. 0.13 A0

Subtopic:  X-Ray (OLD NCERT) |
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A diatomic molecule is made of two masses m1 and m2 which are separated by a distance r.  If we calculate its rotational energy by applying Bohr's rule of angular momentum quantization, its energy will be given by (n is an integer):

1. m1+m22n2h22m12m22r2     

2. n2h22π2(m1+m2)r2

3. 2n2h2(m1+m2)r2   

4. m1+m2n2h28π2m1m2r2

Subtopic:  Bohr's Model of Atom |
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In a hydrogen atom, which of the following electronic transitions would involve the maximum energy change?

1. from n = 2 to n = 1
2. from n = 3 to n = 1
3. from n = 4 to n = 2
4. from  n = 3 to n = 2
Subtopic:  Bohr's Model of Atom |
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The Bohr model of the atom:

1. Assumes that the angular momentum of electrons is quantized

2. Uses Einstein's photoelectric equation

3. Predicts continuous emission spectra for atoms

4. Predicts the same emission spectra for all types of atoms

Subtopic:  Bohr's Model of Atom |
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When a hydrogen atom is raised from the ground state to excited state

1. both KE and PE increase

2. both KE and PE decrease

3. PE increases and KE decreases

4. PE decreases and KE increases

Subtopic:  Various Atomic Models | Bohr's Model of Atom |
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The extreme wavelengths of Paschen series are

1. 0.365 μm and 0.565 μm

2. 0.818 μm and 0.189 μm

3. 1.45 μm and 4.04 μm

4. 2.27 μm and 7.43 μm

Subtopic:  Spectral Series |
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A hydrogen atom is in an excited state of principal quantum number \((n)\). It emits a photon of wavelength \((\lambda)\) when it returns to the ground state. The value of \(n\) is:
1. \(\sqrt{\frac{\lambda R}{\lambda R-1}}\)
2. \(\sqrt{\frac{(\lambda R-1)}{\lambda R}}\)
3. \(\sqrt{\lambda(R-1)}\)
4. None of these

Subtopic:  Bohr's Model of Atom |
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Consider an electron in the \(n^\mathrm{th}\) orbit of a hydrogen atom in the Bohr model. The circumference of the orbit can be expressed in terms of the de-Broglie wavelength \(\lambda\) of that electron as:
1. \((0.529)n\lambda\)
2. \(\sqrt{n\lambda}\)
3. \((13.6)n\lambda\)
4. \(n\lambda\)

Subtopic:  Bohr's Model of Atom |
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