The number of photons per second on an average emitted by a source of monochromatic light of wavelength 600 nm, when it delivers the power of $3.3×{10}^{-3}$ watt will be:

1. ${10}^{16}$

2. ${10}^{15}$

3. ${10}^{18}$

4. ${10}^{17}$

Subtopic:  Particle Nature of Light |
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An electromagnetic wave of wavelength $$\lambda$$ is incident on a photosensitive surface of negligible work function. If 'm' is mass of photoelectron emitted from the surface and $$\lambda_d$$ is the de-Broglie wavelength, then:

1. $\mathrm{\lambda }=\left(\frac{2\mathrm{mc}}{\mathrm{h}}\right){{\mathrm{\lambda }}_{\mathrm{d}}}^{2}$

2. $\mathrm{\lambda }=\left(\frac{2\mathrm{h}}{\mathrm{mc}}\right){{\mathrm{\lambda }}_{\mathrm{d}}}^{2}$

3. $\mathrm{\lambda }=\left(\frac{2\mathrm{m}}{\mathrm{hc}}\right){{\mathrm{\lambda }}_{\mathrm{d}}}^{2}$

4. ${\mathrm{\lambda }}_{\mathrm{d}}=\left(\frac{2\mathrm{mc}}{\mathrm{h}}\right){\mathrm{\lambda }}^{2}$

Subtopic:  De-broglie Wavelength |
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Light of a frequency of 1.5 times the threshold frequency is incident on a photosensitive material. What happens to the photoelectric current when the frequency is cut in half and the intensity is doubled?

1. four times

2. one-fourth

3. zero

4. doubled

Subtopic:  Photoelectric Effect: Experiment |
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An electron is accelerated from rest through a potential difference of V volt. If the de Broglie wavelength of electron is $1.227×{10}^{-2}$ nm, what will be its potential difference?

1.

2.

3.

4.

Subtopic:  De-broglie Wavelength |
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An electron with 144 eV of kinetic energy has a de-Broglie wavelength that is very similar to?

1.

2.

3.

4.

Subtopic:  De-broglie Wavelength |
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Which among the following verified the wave nature of electrons experimentally?

1. De-Broglie

2. Hertz

3. Einstein

4. Davisson and Germer

Subtopic:  Davisson & Germer Experiment |
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An electron is accelerated through a potential difference of 10,000 V. Its de-Broglie wavelength is, (nearly) : ()

1. 12.2 nm

2. $12.2×{10}^{-13}m$

3. $12.2×{10}^{-12}m$

4. $12.2×{10}^{-14}m$

Subtopic:  De-broglie Wavelength |
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The work function of the photosensitive material is 4.0 eV. The longest wavelength of light that can cause photoelectric emission from the substance is (approximately) :

1. 3100 nm

2. 966 nm

3. 31 nm

4. 310 nm

Subtopic:  Photoelectric Effect: Experiment |
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A proton and an $\alpha -$particle are accelerated from rest to the same energy. The de-Broglie wavelength ${\lambda }_{p}$ and ${\lambda }_{\alpha }$ are in the ratio:

1. 2:1

2. 1:1

3. $\sqrt{2}:1$

4. 4:1

Subtopic:  De-broglie Wavelength |
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An electron of mass m with an initial velocity $\stackrel{\to }{v}={\mathrm{v}}_{0}\stackrel{^}{i}$ $$(v_o>0)$$ enters in an electric field $\stackrel{\to }{\mathrm{E}}=-{E}_{0}\stackrel{^}{i}$ (Eo = constant>0) at t=0. If ${\mathrm{\lambda }}_{0}$, is its de-Broglie wavelength initially, then what will be its de-Broglie wavelength at time t?

1. $\frac{{\mathrm{\lambda }}_{0}}{\left(1+\frac{{\mathrm{eE}}_{0}}{{\mathrm{mv}}_{0}}\mathrm{t}\right)}$

2. ${\mathrm{\lambda }}_{0}\left(1+\frac{{\mathrm{eE}}_{0}}{{\mathrm{mv}}_{0}}\mathrm{t}\right)$

3. ${\mathrm{\lambda }}_{0}\mathrm{t}$

4. ${\mathrm{\lambda }}_{0}$

Subtopic:  De-broglie Wavelength |
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