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 $3.3\times {10}^{-3}$ watt will be: $\left(\mathrm{h}=6.6\times {10}^{-34}\mathrm{Js}\right)$

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 $1.227\times {10}^{-2}$ nm, what will be its potential difference?

1. ${10}^{2}\mathrm{V}$

2. ${10}^{3}\mathrm{V}$

3. ${10}^{4}\mathrm{V}$

4. ${10}^{5}\mathrm{V}$

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. $102\times {10}^{-3}nm$

2. $102\times {10}^{-4}nm$

3. $102\times {10}^{-5}nm$

4. $102\times {10}^{-2}nm$

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) : (${m}_{e}=9\times {10}^{-31}kg$)

1. 12.2 nm

2. $12.2\times {10}^{-13}m$

3. $12.2\times {10}^{-12}m$

4. $12.2\times {10}^{-14}m$

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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When two monochromatic lights of frequency, \(\nu\) and \(\frac{\nu}{2}\) are incident on a photoelectric metal, their stopping potential becomes \(\frac{V_{s}}{2}\) and \(V_s\), respectively. The threshold frequency for this metal is:

1. \(\frac{3}{2} \nu\)

2. 2\(\nu\)

3. 3\(\nu\)

4. \(\frac{2}{3} \nu\)

1. \(\frac{3}{2} \nu\)

2. 2\(\nu\)

3. 3\(\nu\)

4. \(\frac{2}{3} \nu\)

Subtopic: Einstein's Photoelectric Equation |

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