# A photoelectric surface is illuminated successively by the monochromatic light of wavelength $\mathrm{\lambda }$ and $\frac{\mathrm{\lambda }}{2}$. 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 |
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Light of wavelength 500 nm is incident on metal with work function 2.28 eV. The de-Broglie wavelength of the emitted electron is:

1. $$< 2.8\times 10^{-10}$$ m

2. $$< 2.8\times 10^{-9}$$ m

3. $$\geq 2.8\times 10^{-9}$$ m

4. $$\leq 2.8\times 10^{-12}$$ m

Subtopic:  Einstein's Photoelectric Equation |
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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:  Photoelectric Effect: Experiment |
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A certain metallic surface is illuminated with monochromatic light of wavelength $\mathrm{\lambda }$. The stopping potential for photoelectric current for this light is 3V0. If the same surface is illuminated with a light of wavelength 2$\mathrm{\lambda }$, the stopping potential is V0. The threshold wavelength for this surface for the photoelectric effect is:
1. $6\mathrm{\lambda }$
2. $4\mathrm{\lambda }$
3. $\frac{\mathrm{\lambda }}{4}$
4. $\frac{\mathrm{\lambda }}{6}$
Subtopic:  Einstein's Photoelectric Equation |
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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 |
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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 is:

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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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 |
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For photoelectric emission from certain metals, the cutoff frequency is $\nu$. If radiation of frequency 2$\mathrm{\nu }$ impinges on the metal plate, the maximum possible velocity of the emitted electron will be:
(m is the electron mass)

1. $\sqrt{\mathrm{h\nu }/\mathrm{m}}$

2. $\sqrt{2\mathrm{h\nu }/\mathrm{m}}$

3. $2\sqrt{\mathrm{h\nu }/\mathrm{m}}$

4. $\sqrt{\mathrm{h\nu }/\left(2\mathrm{m}\right)}$

Subtopic:  Einstein's Photoelectric Equation |
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The wavelength λe of an electron and λP of a photon of same energy E are related by :
1. λP ∝ λe
2. λP ∝
3. λP ∝
4. λP ∝ λe2
Subtopic:  De-broglie Wavelength |
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A 200 W sodium street lamp emits yellow light of wavelength 0.6 $\mathrm{\mu m}$. Assuming it to be 25% efficient in converting electrical energy to light, the number of photons of yellow light it emits per second is

1. $1.5×{10}^{20}$

2. $6×{10}^{18}$

3. $62×{10}^{20}$

4. $3×{10}^{19}$

Subtopic:  Photoelectric Effect: Experiment |
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