List of top Physics Questions on Dual nature of radiation and matter asked in UP Board XII

What are matter waves? Write the de-Broglie formula for matter waves. The de-Broglie wavelength for a photon and an electron are same. Which will have greater energy?

Explain the meaning of work function of a photosensitive surface.

In photoelectric emission, the frequency of incident light is doubled. Kinetic energy of emitted photoelectrons will become:

The de Broglie wavelengths of a photon and a proton are \(\lambda_1\) and \(\lambda_2\) respectively. Both have same energy \(E\). If mass of proton is \(m\) and speed of light is \(C\), then prove that \(\dfrac{\lambda_1}{\lambda_2} = C\sqrt{\dfrac{2m}{E}}\).

Work function of a metal surface is 3.2 eV. Find out the kinetic energy of the emitted photoelectrons in Joule, when a photon of 4.0 eV energy is incident on its surface.

If the accelerating potential of a moving charged particle of \( \lambda \) de Broglie wavelength is increased by four times, then the de Broglie wavelength will be:

In the figure, the plot of stopping potential versus frequency of light used in an experiment of the photoelectric effect is shown. Find the ratio \( h/e \) and the work function.
(From the graph: the line meets the frequency axis at \( \nu_0 = 1\times10^{15}\ \text{Hz} \), and the stopping potential is \( V = 1.656\ \text{V} \) at \( \nu = 5\times10^{15}\ \text{Hz} \).)

The energy of a photon is 10 eV. Determine (i) the dynamic mass of the photon, (ii) the frequency of the photon.
(Given: \( h = 6.6\times10^{-34}\ \text{J s} \), \( c = 3\times10^{8}\ \text{m/s} \), \( 1\ \text{eV} = 1.6\times10^{-19}\ \text{J} \).)

Calculate the de Broglie wavelength of a neutron of energy \(12{\cdot}8\ \text{MeV}\). (Given: mass of neutron \(m_{n}=1{\cdot}67\times10^{-27}\ \text{kg}\), \(h=6{\cdot}6\times10^{-34}\ \text{J s}\), \(1\ \text{eV}=1{\cdot}6\times10^{-19}\ \text{J}\).)

The work function of a metal is 3.3 eV. Calculate the minimum frequency of photon that will emit the photoelectron.
(Given: \( h = 6.6\times10^{-34} \) J·s, \( 1\ \text{eV} = 1.6\times10^{-19} \) J)

For any particle, its particle nature and wave nature can be observed simultaneously. Comment. Radiation of wavelength \( \lambda \) is incident on a surface of negligible work function. Find the de-Broglie wavelength of the emitted electron.

Give Einstein's equation for photoelectric emission. The work function of a metal is 4.2 eV. Electrons are emitted due to light of wavelength 2000 Å. Find the stopping potential for the emitted electrons.

The wavelength of the de-Broglie wave associated with a moving particle does not depend on:

In photoelectric emission, the value of the saturation current depends on: