The ratio of kinetic energy to the total energy of an electron in a Bohr orbit of the hydrogen atom is:

1. 1 : 1

2. 1 : -1

3. 2 : -1

4. 1 : -2

Subtopic:  Bohr's Model of Atom |
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The ratio of wavelengths of the last line of Balmer series and the last line of Lyman series is:

(1) 2

(2) 1

(3) 4

(4) 0.05

Subtopic:  Spectral Series |
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The ratio of wavelengths of the last line of Balmer series and the last line of Lyman series is:-

1. 1

2. 4

3. 0.5

4. 2

Subtopic:  Spectral Series |
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Electrons of mass m with de- Broglie wavelength λ fall on the target in an X-ray tube. The cut-off wavelength (λo) of the emitted X-ray is :

1.  ${\mathrm{\lambda }}_{0}=\frac{2{\mathrm{mc\lambda }}^{2}}{\mathrm{h}}$

2.  ${\mathrm{\lambda }}_{0}=\frac{2\mathrm{h}}{\mathrm{mc}}$

3.  ${\mathrm{\lambda }}_{0}=\frac{2{\mathrm{m}}^{2}{\mathrm{c}}^{2}{\mathrm{\lambda }}^{2}}{{\mathrm{h}}^{2}}$

4.  ${\mathrm{\lambda }}_{0}=\mathrm{\lambda }$

Subtopic:  X-Ray |
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If an electron in a hydrogen atom jumps from the 3rd orbit to the 2nd orbit, it emits a photon of wavelength $\lambda$. When it jumps from the 4th orbit to the 3rd orbit, the corresponding wavelength of the photon will be

1.  $\frac{16}{25}\mathrm{\lambda }$

2.  $\frac{9}{16}\mathrm{\lambda }$

3.  $\frac{20}{7}\mathrm{\lambda }$

4.  $\frac{20}{13}\mathrm{\lambda }$

Subtopic:  Bohr's Model of Atom |
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Given that the value of the Rydberg constant is 107 m-1, what will be the wave number of the last line of the Balmer series in the hydrogen spectrum?
1. $$0.5 \times 10^{7} ~m^{-1}$$
2. $$0.25 \times 10^{7} \mathrm{~m}^{-1}$$
3. $$2.5 \times 10^{7} \mathrm{~m}^{-1}$$
4. $$0.025 \times 10^{4} ~m^{-1}$$

Subtopic:  Spectral Series |
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When an $\mathrm{\alpha }$– particle of mass m moving with velocity v bombards on a heavy nucleus of charge Ze, its distance of closest approach from the nucleus depends on m as:
1. $\frac{1}{\sqrt{\mathrm{m}}}$
2. $\frac{1}{{\mathrm{m}}^{2}}$
3. m
4. $\frac{1}{\mathrm{m}}$
Subtopic:  Various Atomic Models |
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