# <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> What is the de-Broglie wavelength of a neutron in thermal equilibrium with heavy water at a temperature T (Kelvin) and mass m? 1. $\frac{h}{\sqrt{mkT}}$ 2. $\frac{h}{\sqrt{3mkT}}$ 3.  4. $\frac{2h}{\sqrt{mkT}}$

Subtopic:  De-broglie Wavelength |
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If an electron of mass m with a de-Broglie wavelength of $$\lambda$$ falls on the target in an X-ray tube, the cut-off wavelength ( λ0) of the emitted X-ray will be:

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

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

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

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

Subtopic:  De-broglie Wavelength |
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Photons with energy 5 eV are incident on a cathode C in a photoelectric cell. The maximum energy of emitted photoelectrons is 2 eV. When photons of energy 6 eV are incident on C, no photoelectron will reach the anode A, if the stopping potential of A relative to C is:

1. +3 V

2. +4 V

3. - 1V

4. -3 V

Subtopic:  Einstein's Photoelectric Equation |
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When a metallic surface is illuminated with radiation of wavelength $\lambda$, the stopping potential is V. If the same surface is illuminated with radiation of wavelength 2$\lambda$, the stopping potential is $\frac{V}{4}$ .The threshold wavelength for metallic surface is:

(a) 5$\lambda$                (b)$\frac{5}{2}$$\lambda$

(c) 3$\lambda$                (d) 4$\lambda$

Subtopic:  Photoelectric Effect: Experiment |
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An electron of mass m and a photon have the same energy E. Find the ratio of de-Broglie wavelength associated with the electron to that associated with the photon. (c is the velocity of light)

Subtopic:  De-broglie Wavelength |
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A radiation of energy 'E' falls normally on a perfectly reflecting surface. The momentum transferred to the surface is (c=velocity of light)

1. E/c

2. 2E/c

3. 2E/c2

4. E/c2

Subtopic:  Particle Nature of Light |
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A certain metallic surface is illuminated with monochromatic light of wavelength λ. The stopping potential for photoelectric current for this light is 3Vo. If the same surface is illuminated with light of wavelength 2λ, the stopping potential is Vo. The photoelectric effect's threshold wavelength for this surface is?

1. 6λ

2. 4λ

3. λ/4

4. λ/6

Subtopic:  Einstein's Photoelectric Equation |
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Which of the following figures represents the variation of the particle momentum and the associated deBroglie wavelength?

 1 2 3 4
Subtopic:  De-broglie Wavelength |
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A photoelectric surface is illuminated successively by monochromatic light of wavelengths λ and λ/2. If the maximum kinetic energy of the emitted photoelectrons in the second case is 3 times that in the first case, the work function of the surface of the material will be:
(h = Planck’s constant, c = speed of light)

1. hc/2λ

2. hc/λ

3. 2hc/λ

4. hc/3λ

Subtopic:  Einstein's Photoelectric Equation |
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Light with a wavelength of 500 nm is incident on a metal with a work function of 2.28 eV. The de Broglie wavelength of the emitted electron will be:

1. <2.8x10-10 m

2. <2.8x10-9 m

3. $$\geqslant$$2.8x10-9 m

4. <2.8x10-12 m

Subtopic:  De-broglie Wavelength |
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