Dual Nature of Radiation and Matter

When the wavelength of radiation falling on a metal is changed from 500 nm to 200 nm the maximum kinetic energy of the photoelectrons becomes three times larger. The work function of the metal is close to:

When radiation of wavelength λ is used to illuminate a metallic surface, the stopping potential is V. When the same surface is illuminated with radiation of wavelength 3λ, the stopping potential is V/4. If the threshold wavelength for the metallic surface is nλ then value of n will be:

An electron, a doubly ionized helium ion (He?) and a proton are having the same kinetic energy. The relation between their respective de-Broglie wavelength λe, λHe? and λp is:

The surface of a metal is illuminated alternately with photons of energies E? = 4eV and E? = 2.5eV respectively. The ratio of maximum speeds of the photoelectrons emitted in the two cases is 2. The work function of the metal in (eV) is 

When photon of energy $4.0\mathrm{e}\mathrm{V}$ $$ strikes the surface of a metal $A$ $$ , the ejected photoelectrons have maximum kinetic energy $T_A$ ${}_{}$ eV and de-Broglie wavelength ${\lambda }_A$ ${}_{}$ . The maximum kinetic energy of photoelectrons liberated form another metal B by photon of energy 4.50 $\mathrm{e}\mathrm{V}$ $$ is $T_B=\left(T_A-1.5\right)eV$ ${}_{}\left({}_{}\right)$ . If the de-Broglie wavelength of these photoelectrons ${\lambda }_B=2{\lambda }_A$ ${}_{}{}_{}$ , then the work function of metal $$ $B$ is

The stopping potential in the context of photoelectric depends on the following property of incident electromagnetic radiation:

The de Broglie wavelength associated with an electron and a proton were calculated by accelerating them through same potential of 100V. What should be the ratio of their wavelengths? (m? = 1.00727u, m? = 0.00055u)

A light beam of wavelength 500 nm is incident on a metal having work function of 1.25 eV, placed in a magnetic field of intensity B. The electrons emitted perpendicular to the magnetic field B, with maximum kinetic energy are bent into circular arc of radius 30cm. The value of B is __________ x x 10⁻⁷ T
Given hc = 20 * 10?²? J-m, mass of electron = 9 * 10⁻³¹ kg