# A dye absorbs a photon of wavelength $\mathrm{\lambda }$ and re-emits the same energy into two photons of wavelengths ${\mathrm{\lambda }}_{1}$  and ${\mathrm{\lambda }}_{2}$ respectively. The wavelength $\mathrm{\lambda }$ is related to ${\mathrm{\lambda }}_{1}$ and ${\mathrm{\lambda }}_{2}$ as: 1.  $\mathrm{\lambda }=\frac{{\mathrm{\lambda }}_{1}+{\mathrm{\lambda }}_{2}}{{\mathrm{\lambda }}_{1}{\mathrm{\lambda }}_{2}}$ 2.  $\mathrm{\lambda }=\frac{{\mathrm{\lambda }}_{1}{\mathrm{\lambda }}_{2}}{{\mathrm{\lambda }}_{1}+{\mathrm{\lambda }}_{2}}$ 3.  $\mathrm{\lambda }=\frac{{\mathrm{\lambda }}_{1}^{2}+{\mathrm{\lambda }}_{2}^{2}}{{\mathrm{\lambda }}_{1}+{\mathrm{\lambda }}_{2}}$ 4.  $\mathrm{\lambda }=\frac{{\mathrm{\lambda }}_{1}{\mathrm{\lambda }}_{2}}{{\left({\mathrm{\lambda }}_{1}+{\mathrm{\lambda }}_{2}\right)}^{2}}$

Subtopic:  Bohr's Theory |
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The quantum number not obtained from Schrodinger’s wave equation is:

 1 $$n$$ 2 $$l$$ 3 $$m$$ 4 $$s$$
Subtopic:  Quantum Numbers & Schrodinger Wave Equation |
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The incorrect statement about the nodal plane among the following is:

 1 A plane on which there is a zero probability of finding an electron. 2 A plane on which there is maximum probability that the electron will be found. 3 ψ2 is  zero at nodal plane. 4 None of the above.

Subtopic:  Nodal Plane |
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The excited state of an H atom emits a photon of wavelength $\mathrm{\lambda }$ and returns to the ground state. The principal quantum number of the excited state is given by:

1.  $\sqrt{\mathrm{\lambda R}\left(\mathrm{\lambda R}-1\right)}$

2.  $\sqrt{\frac{\mathrm{\lambda R}}{\left(\mathrm{\lambda R}-1\right)}}$

3.  $\sqrt{\mathrm{\lambda R}\left(\mathrm{\lambda R}+1\right)}$

4.  $\sqrt{\frac{\left(\mathrm{\lambda R}-1\right)}{\mathrm{\lambda R}}}$

Subtopic:  Quantum Numbers & Schrodinger Wave Equation |
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The graphs that represents the variation of momentum of particle with de-Broglie wavelength is:

 1 2 3 4

Subtopic:  De Broglie Equation |
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The largest de Broglie wavelength among the following (all have equal velocity) is:

1.  ${\mathrm{CO}}_{2}$ molecule

2.  ${\mathrm{NH}}_{3}$ molecule

3.  Electron

4.  Proton

Subtopic:  De Broglie Equation |
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The ratio of slopes of  curves in photoelectric effect gives -

(v=frequency, ${\mathrm{K}}_{\mathrm{max}}$=maximum kinetic energy, ${\mathrm{V}}_{0}$ stopping potential):

1.  Charge of electron

2.  Planck's constant

3.  Work function

4.  The ratio of Planck's constant of electronic charge

Subtopic:  Photo Electric Effect |
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The photoelectric emission from a surface starts only when the light incident upon the surface has a certain minimum:

 1 Intensity 2 Wavelength 3 Frequency 4 Velocity
Subtopic:  Photo Electric Effect |
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In photoelectric effect, the kinetic energy of photoelectrons increases linearly with the:

1. Wavelength of incident light.

2. Frequency of incident light.

3. Velocity of incident light.

4. Atomic mass of an element.

Subtopic:  Photo Electric Effect |
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For any H-like system, the ratio of velocities of I, II & III orbit i.e.,  will be:

1.  1 : 2 : 3

2.  1 : 1/2 : 1/3

3.  3 : 2 : 1

4.  1 : 1 : 1

Subtopic:  Bohr's Theory |
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