An electron of mass $$m$$ and a photon have the same energy $$E.$$ The ratio of de-Broglie wavelengths associated with them is: ($$c$$ is the velocity of light) 1. $$\sqrt{\left(\frac{{E}}{2 {m}}\right)}$$ 2. $${c}\sqrt{(2 {mE})}$$ 3. $$\frac{1}{{c}}\sqrt{\left(\frac{2 m}{E}\right)}$$ 4. $$\frac{1}{{c}}\sqrt{\left(\frac{{E}}{2 {m}}\right)}$$

Subtopic:  De-broglie Wavelength |
69%
From NCERT
NEET - 2016
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A photoelectric surface is illuminated successively by the monochromatic light of wavelength $$\lambda$$ and $$\frac{\lambda}{2}$$. 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 mineral is:
[$$h$$ = Plank’s constant, $$c$$ = speed of light]
1. $$\frac{hc}{2\lambda}$$
2. $$\frac{hc}{\lambda}$$
3. $$\frac{2hc}{\lambda}$$
4. $$\frac{hc}{3\lambda}$$

Subtopic:  Einstein's Photoelectric Equation |
72%
From NCERT
NEET - 2015
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Light of wavelength $$500~\text{nm}$$ is incident on metal with work function $$2.28~\text{eV}$$. The de-Broglie wavelength of the emitted electron is:

 1 $$< 2.8\times 10^{-10}~\text{m}$$ 2 $$< 2.8\times 10^{-9}~\text{m}$$ 3 $$\geq 2.8\times 10^{-9}~\text{m}$$ 4 $$\leq 2.8\times 10^{-12}~\text{m}$$
Subtopic:  De-broglie Wavelength |
61%
From NCERT
NEET - 2015
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Radiation of energy $$E$$ falls normally on a perfectly reflecting surface. The momentum transferred to the surface is:
($$c$$ = velocity of light)
1. $$E \over c$$
2. $$2E \over c$$
3. $$2E \over c^2$$
4. $$E \over c^2$$

Subtopic:  Particle Nature of Light |
72%
From NCERT
NEET - 2015
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A certain metallic surface is illuminated with monochromatic light of wavelength $$\lambda$$. The stopping potential for photoelectric current for this light is $$3V_0$$. If the same surface is illuminated with a light of wavelength $$2\lambda$$$\mathrm{}$, the stopping potential is $$V_0$$. The threshold wavelength for this surface for the photoelectric effect is:
 1 $$6\lambda$$ 2 $$4\lambda$$ 3 $$\dfrac{\lambda}{4}$$ 4 $$\dfrac{\lambda}{6}$$
Subtopic:  Einstein's Photoelectric Equation |
80%
From NCERT
NEET - 2015
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Which of the following figures represent the variation of the particle momentum and the associated de-Broglie wavelength?

 1 2 3 4
Subtopic:  De-broglie Wavelength |
87%
From NCERT
NEET - 2015
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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 $$0.5~\text{eV}$$ to $$0.8~\text{eV}$$. The work function of the metal is:
1. $$0.65~\text{eV}$$
2. $$1.0~\text{eV}$$
3. $$1.3~\text{eV}$$
4. $$1.5~\text{eV}$$

Subtopic:  Einstein's Photoelectric Equation |
71%
From NCERT
AIPMT - 2014
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If the kinetic energy of the particle is increased to $$16$$ times its previous value, the percentage change in the de-Broglie wavelength of the particle is:
1. $$25$$
2. $$75$$
3. $$60$$
4. $$50$$

Subtopic:  De-broglie Wavelength |
72%
From NCERT
AIPMT - 2014
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For photoelectric emission from certain metals, the cutoff frequency is $$\nu$$. If radiation of frequency $$2\nu$$$\mathrm{}$ impinges on the metal plate, the maximum possible velocity of the emitted electron will be:
($$m$$ is the electron mass)

 1 $$\sqrt{\dfrac{h\nu}{m}}$$ 2 $$\sqrt{\dfrac{2h\nu}{m}}$$ 3 $$2\sqrt{\dfrac{h\nu}{m}}$$ 4 $$\sqrt{\dfrac{h\nu}{2m}}$$
Subtopic:  Einstein's Photoelectric Equation |
83%
From NCERT
AIPMT - 2013
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The wavelength $$\lambda_e$$ of an electron and $$\lambda_p$$ of a photon of the same energy $$E$$ are related by:
1. $$\lambda_p \propto \lambda_e$$
2. $$\lambda_p \propto \sqrt{\lambda_e}$$
3. $$\lambda_p \propto \frac{1}{\sqrt{\lambda_e}}$$
4. $$\lambda_p \propto \lambda_e^2$$
Subtopic:  De-broglie Wavelength |
60%
From NCERT
AIPMT - 2013
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