Dual Nature of ...

When photons of energy hv fall on an aluminium plate (of work function E₀), photoelectrons of maximum kinetic energy K are ejected. If the frequency of the radiation is doubled, the maximum kinetic energy of the ejected photoelectrons will be:

The threshold frequency for a metallic surface corresponds to an energy of 6.2 eV and the stopping potential for a radiation incident on this surface is 5 V. The incident radiation lies in:

In stopping potential (V) photo current (I) graph, if \(\mathrm{V}_{2}>\mathrm{V}_{1}\), then compare the wavelengths of incident radiations:

A Proton and an alpha particle both are accelerated through the same potential difference. The ratio of corresponding de-Broglie wavelengths is:

Light of wavelength 4000Å is incident on a metal surface. The maximum kinetic energy of emitted photoelectron is 2eV. What is the work function of the metal surface?

An electron of mass m and a photon have the same energy E. The ratio of de-Broglie wavelength associated with them is:

The graph shows variation of stopping potential \(\mathrm{V}_{0}\) versus frequency of incident radiation v for two photosensitive metals A and B. Which of the two metals has higher threshold frequency?

A photon of energy \(h \nu\) is absorbed by a free electron of a metal having work function \(\phi

Consider an excited hydrogen atom in state n moving with a velocity v (v<< c). It emits a photon in the direction of its motion and changes its state to a lower state m. Apply momentum and energy conservation principle to calculate the frequency v of the emitted radiation. Compare this with the frequency v₀ emitted if the atom were at rest.

A radiation of energy 'E' falls normally on a perfectly reflecting surface. The momentum transferred to the surface is: (c = velocity of light)

All electrons ejected from a surface by incident light of wavelength \(200 \mathrm{~nm}\) can be stopped before traveling \(1 \mathrm{~m}\) in the direction of a uniform electric field of \(4 \mathrm{NC}^{-1}\). The work function of the surface is:

Light of wavelength 4000 Å is incident on a metal plate whose function is 2eV. The maximum kinetic energy of emitted photoelectron will be:

A certain metal when irradiated by light \(\left(\mathrm{\nu_1}=3.2 \times 10^{16} \mathrm{~Hz}\right)\) emits photo electrons with twice kinetic energy as did photo electrons when the same metal is irradiated by light \(\left(\mathrm{\nu_2}=2.0 \times 10^{16} \mathrm{~Hz}\right)\). The \(\nu_{0}\) of metal is:

Two photons of same frequency are produced due to the annhiliation of a proton and antiproton. Wave length of the proton so produced is:

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:

The work function of Cesium is 2.27eV. The cut-off voltage which stops the emission of electrons from a cesium cathode irradiated with light of 600nm wavelength is:

The surface of a metal is illuminated with the light of \(400 \mathrm{~nm}\). The kinetic energy of the ejected photoelectrons was found to be \(1.68 \mathrm{eV}\). The work function of the metal is: \((h c=1240 \mathrm{eV} \mathrm{nm})\)

The maximum velocity of the photoelectrons emitted from the surface is \(v\) when light of frequency \(n\) falls on a metal surface. If the incidence frequency is increased in \(3 n\). The maximum velocity of the ejected photoelectron will be:

The work function of tungsten is \(4.50 \mathrm{eV}\). The wavelength of the fastest electron emitted when light whose photon energy is \(5.50 \mathrm{eV}\) falls on a tungsten surface, is?

The mean free path of electrons in a metal is 4 x 10^-8 m. The electric field which can give on an average 2 eV energy to an electron in the metal will be in unit of Vm^-1.

Calculate the velocity of the electron ejected from platinum surface when radiation of 2000A talks omit. The work function of the metal is \(5 \mathrm{eV}\).

When the momentum of a proton is changed by an amount \(\Delta\mathrm{p}\), then the corresponding change in the de-Broglie wavelength is found to be 0.20%. The original momentum of the proton was:

Which of the following figures represent the variation of particle momentum and the associated de-Broglie wavelength?

A laser device produces amplification in the:

In a photoemissive cell, with exciting wavelength λ, the fastest electron has speed v. If the exciting wavelength is changed to \(\frac{3 \lambda}{4}\), the speed of the fastest emitted electrons will be:

When photons of wavelength λ₁ are incident on an isolated sphere, the corresponding stopping potential is found to be V. When photons of wavelength λ₂ are used, the corresponding stopping potential was thrice that of the above value. If light of wavelength λ₃ is used then find the stopping potential for this case:

For what condition wave speed in sine wave is greater than the maximum speed of particle:

The relation between the kinetic energy of the ejected electrons from the metal surface and the frequency of the incident radiation in photoelectric effect is given by:

The kinetic energy of the fastest moving photo electron from a metal of work function 2.8 eV is 2 eV. If the frequency of light is doubled, then find the maximum kinetic energy of photo electron.

When the energy of the incident radiation is increased by \(20 \%\). The kinetic energy of the photoelectrons emitted from a metal surface increased from \(0.5 \mathrm{eV}\) to \(0.8 \mathrm{eV}\). The work function of the metal is: