# 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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Light with an energy flux of 25 x 104 Wm-2 falls on a perfectly reflecting surface at normal incidence. If the surface area is 15cm2 the average force exerted on the surface is

(1)1.25x10-6N

(2)2.5x10-6N

(3)1.2x10-6N

(4)3.0x10-6N

Subtopic:  Particle Nature of Light |
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When the energy of the incident radiation is increased by 20%, the kinetic energy of the photoelectrons emitted from a metal surface increases from 0.5 eV to 0.8 eV. The work function of the metal will be:
1. 0.65 eV

2. 1.0 eV

3. 1.3 eV

4. 1.5 eV

Subtopic:  Einstein's Photoelectric Equation |
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What will be the percentage change in the de-Broglie wavelength of the particle if the kinetic energy of the particle is increased to 16 times its previous value?
1. 25
2. 75
3. 60
4. 50

Subtopic:  De-broglie Wavelength |
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The wavelength $$\lambda_{e}$$ of an electron and $$\lambda_{p}$$ of a photon of the same energy E are related as:

1. ${\lambda }_{p}\propto {{\lambda }_{e}}^{2}$

2. ${\lambda }_{p}\propto {\lambda }_{e}$

3. ${\lambda }_{p}\propto \sqrt{{\lambda }_{e}}$

4. ${\lambda }_{p}\propto \frac{1}{\sqrt{{\lambda }_{e}}}$

Subtopic:  De-broglie Wavelength |
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