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

1. $\sqrt{hν / m}$

2. $\sqrt{2 hν / m}$

3. $2 \sqrt{hν / m}$

4. $\sqrt{hν / (2 m)}$

Q8:

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Subtopic: Einstein's Photoelectric Equation |

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The wavelength λ_e of an electron and λ_P of a photon of same energy E are related by :

1. λ_P ∝ λ_e
2. λ_P ∝

\sqrt{λ_{e}}

3. λ_P ∝

\frac{1}{\sqrt{λ_{e}}}

4. λ_P ∝ λ_e²

Q9:

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Subtopic: De-broglie Wavelength |

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A 200 W sodium street lamp emits yellow light of wavelength 0.6 $μm$ . 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. $1.5 \times 10^{20}$

2. $6 \times 10^{18}$

3. $62 \times 10^{20}$

4. $3 \times 10^{19}$

Q10:

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Subtopic: Photoelectric Effect: Experiment |

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An $α$ -particle moves in a circular path of radius 0.83 cm in the presence of a magnetic field of 0.25 Wb/m². The de-Broglie wavelength associated with the particle will be :

$1 . 1 \overset{o}{A}$
2. 0.1 Ao
3. 10 Ao
4. 0.01 Ao

Q11:

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Subtopic: De-broglie Wavelength |

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In the Davisson and Germer experiment, the velocity of electrons emitted from the electron gun can be increased by:

1.	increasing the filament current.
2.	decreasing the filament current.
3.	decreasing the potential difference between the anode and filament.
4.	increasing the potential difference between the anode and filament.

Q14:

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Subtopic: Davisson & Germer Experiment |

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A radioactive nucleus of mass M emits a photon of frequency $ν$ and the nucleus will recoil. The recoil energy will be

1. $\frac{h^{2} ν^{2}}{2 {Mc}^{2}}$

2. zero

3. $\frac{hν}{c \sqrt{2 M}}$

4. $\frac{c \sqrt{2 M}}{hν}$

Q15:

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Subtopic: De-broglie Wavelength |

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In the photoelectric emission process from a metal of work function 1.8 eV, the kinetic energy of most energetic electrons is 0.5 eV. The corresponding stopping potential is:

1. 1.3 V

2. 0.5 V

3. 2.3 V

4. 1.8 V

Q16:

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Subtopic: Photoelectric Effect: Experiment |

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Light of two different frequencies, whose photons have energies of 1 eV and 2.5 eV respectively, illuminates a metallic surface whose work function is 0.5 eV successively. The ratio of maximum speeds of emitted electrons will be:

1. 1:2

2. 1:1

3. 1:5

4. 1:4

Q17:

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Subtopic: Einstein's Photoelectric Equation |

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Electrons used in an electron microscope are accelerated by a voltage of 25 kV. If the voltage is increased to 100 kV, then the de-Broglie wavelength associated with the electrons would

1. decrease by 2 times

2. decrease by 4 times

3. increase by 4 times

4. increase by 2 times

Q18:

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Subtopic: De-broglie Wavelength |

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Select Chapter Topics:

Photoelectric Effect: Experiment

Einstein's Photoelectric Equation

Electron Emission

Particle Nature of Light

De-broglie Wavelength

Davisson & Germer Experiment

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

Select Chapter Topics:

Photoelectric Effect: Experiment

Einstein's Photoelectric Equation

Electron Emission

Particle Nature of Light

De-broglie Wavelength

Davisson & Germer Experiment

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Select Chapter Topics:

Photoelectric Effect: Experiment

Einstein's Photoelectric Equation

Electron Emission

Particle Nature of Light

De-broglie Wavelength

Davisson & Germer Experiment

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

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Select Chapter Topics:

Photoelectric Effect: Experiment

Einstein's Photoelectric Equation

Electron Emission

Particle Nature of Light

De-broglie Wavelength

Davisson & Germer Experiment

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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