Dual Nature of Matter

Let $E_e$ and $E_p$ represent kinetic energy of electron and photon respectively. If de-Broglie wavelength $\lambda_p$ of a photon is four times the de-Broglie wavelenght $\lambda_e$ of an electron, the…

In a photoelectric cell, for the incident radiation of wavelength $\lambda$, the fastest electron has speed 'v'. If the wavelength of incident radiation is changed to $\dfrac{\lambda}{3}$, the speed of the fastest…

An electron and positron are accelerated from rest to the same kinetic energy. The ratio of their de Broglie wavelengths is

Light of frequency $4\nu_0$ is incident on the metal of threshold frequency $\nu_0$. The maximum kinetic energy of the emitted photoelectron is (h = Planck's constant)

The de Broglie wavelength of an electron with kinetic energy $K_1$ is $\lambda_1$. If the kinetic energy increases to $5K_1$, the new wavelength is $\lambda_2 = x\lambda_1$. The value of $x$ is

At the stopping potential, the photoelectrons have

In the case of the photo-electric effect, which of the following sentences is NOT TRUE? a. The photo-electrons are emitted only when the frequency of incident radiation is greater than the threshold frequency. b. There…

If the photoelectric work function of a metal is '$\phi$' and the frequency of incident light is '$\nu$', there is no emission of photoelectrons if

An electron of mass '$m$' accelerated through a potential difference '$V$' has the de Broglie wavelength associated with it as '$\lambda$'. If a proton of a mass '$M$' is accelerated through the same potential…

The de-Broglie wavelength of the free electron is '$\lambda$' and has a kinetic energy $E_k$. If the kinetic energy of the free electron is made double, the new de-Broglie wavelength is '$\lambda_1$'. If $\lambda_1 =…

A photon of energy 8 eV is incident on a metal surface of work function 3.75 eV. The stopping potential of the metal is

A particle is dropped from a height '$y$'. The de-Broglie wavelength of the particle as a function of height is