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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. | \(\sqrt{\frac{h\nu}{m}}\) | 2. | \(\sqrt{\frac{2h\nu}{m}}\) |

3. | \(2\sqrt{\frac{h\nu}{m}}\) | 4. | \(\sqrt{\frac{h\nu}{2m}}\) |

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. \(\lambda_p \propto \lambda_e^2\)

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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A \(200~\text{W}\) sodium street lamp emits yellow light of wavelength \(0.6~\mu\text{m}\)$$. 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. \(1.5\times 10^{20}\)

2. \(6\times 10^{18}\)

3. \(62\times 10^{20}\)

4. \(3\times 10^{19}\)

Subtopic: Particle Nature of Light |

70%

From NCERT

AIPMT - 2012

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An \(\alpha\text-\)particle moves in a circular path of radius \(0.83~\text{cm}\) in the presence of a magnetic field of \(0.25~\text{Wb/m}^2\). The de-Broglie wavelength associated with the particle will be:

1. \(1~\mathring{\text{A}}\)

2. \(0.1~\mathring{\text{A}}\)

3. \(10~\mathring{\text{A}}\)

4. \(0.01~\mathring{\text{A}}\)

Subtopic: De-broglie Wavelength |

58%

From NCERT

AIPMT - 2012

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

1. $\frac{{\mathrm{h}}^{2}{\mathrm{\nu}}^{2}}{2{\mathrm{Mc}}^{2}}$

2. zero

3. $\frac{\mathrm{h\nu}}{\mathrm{c}\sqrt{2\mathrm{M}}}$

4. $\frac{\mathrm{c}\sqrt{2\mathrm{M}}}{\mathrm{h\nu}}$

Subtopic: De-broglie Wavelength |

64%

From NCERT

AIPMT - 2011

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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

Subtopic: Photoelectric Effect: Experiment |

74%

From NCERT

AIPMT - 2011

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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. \(1:4\)

1. \(1:2\)

2. \(1:1\)

3. \(1:5\)

4. \(1:4\)

Subtopic: Einstein's Photoelectric Equation |

75%

From NCERT

AIPMT - 2011

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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

Subtopic: De-broglie Wavelength |

74%

From NCERT

AIPMT - 2011

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