Particle Nature of Light — Prelims Questions

Light of frequency $8 \times 10^{14},\text{Hz}$ is incident on a metal surface. The work function of the metal is $2.5,\text{eV}$. What is the maximum kinetic energy of the emitted photoelectrons? (Given: Planck's constant $h = 6.6 \times 10^{-34},\text{J}cdot\text{s}$, $1,\text{eV} = 1.6 \times 10^{-19},\text{J}$)

The threshold wavelength for a metal surface is $500,\text{nm}$. If light of wavelength $400,\text{nm}$ is incident on the surface, what will be the stopping potential for the emitted photoelectrons? (Given: $hc = 1240,\text{eV}cdot\text{nm}$, $e = 1.6 \times 10^{-19},\text{C}$)

Which of the following statements is INCORRECT regarding the photoelectric effect?

A photon of energy $E$ has momentum $p$. If the speed of light is $c$, which of the following relations is correct?

If the frequency of incident light in a photoelectric experiment is doubled, what happens to the stopping potential?

A monochromatic light source of power $P$ emits $N$ photons per second. If the wavelength of the light is $lambda$, which of the following expressions for $N$ is correct? (Given: $h$ is Planck's constant, $c$ is the speed of light)