$A$ photon and an electron have equal energy $E$. The ratio $\lambda_{\text{photon}} / \lambda_{\text{electron}}$ is proportional to:

  • A
    $\sqrt{E}$
  • B
    $\frac{1}{\sqrt{E}}$
  • C
    $\frac{1}{E}$
  • D
    Does not depend upon $E$

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If $m$ is the mass of an electron and $c$ is the speed of light,then the ratio of the wavelength of a photon of energy $E$ to the wavelength of an electron of the same energy is:

Match the following table.
$List-I$$List-II$
$A$. Michelson-Morley experiment$I$. The existence of anti-matter
$B$. Stern-Gerlach experiment$II$. The existence of de-Broglie matter waves
$C$. Davisson-Germer experiment$III$. Electrons have spins
$D$. Anderson discovery of positron$IV$. The non-existence of ether

The anode voltage of a photocell is kept fixed. The wavelength $\lambda$ of the light falling on the cathode is gradually changed. The plate current $I$ of the photocell varies as follows:

In a photoelectric effect experiment,three different metal plates $p, q,$ and $r$ have work functions $\phi_p = 2.0 \ eV, \phi_q = 2.5 \ eV,$ and $\phi_r = 3.0 \ eV$. The incident light beams have wavelengths $\lambda_p = 550 \ nm, \lambda_q = 450 \ nm,$ and $\lambda_r = 350 \ nm$. The intensity of light is the same for each plate. The correct $I-V$ graph for the experiment is: $[hc = 1240 \ eV \ nm]$

Dual nature of light is exhibited by

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