Consider the following statements: $(1)$ Both wave and particle nature are required for a complete understanding of light. $(2)$ Light cannot exhibit both wave and particle nature simultaneously in a single experiment.

  • A
    $1$ is true,$2$ is false.
  • B
    $1$ is false,$2$ is true.
  • C
    Both $1$ and $2$ are false.
  • D
    Both $1$ and $2$ are true.

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Match the following columns:
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$C$. Klystron valve $R$. Quantization of energy levels
$D$. Nicola Tesla $S$. Photoelectric effect

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An electron of mass $m$ and a photon have the same energy $E$. The ratio of the wavelength of the electron to that of the photon is: ($c$ being the velocity of light)

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$A$ radiation of $3.8 eV$ falls on a metal surface to produce photoelectrons. These electrons are made to enter a magnetic field of $2 \times 10^{-4} T$. If the radius of the largest circular path followed by these electrons is $30 mm$,then the work function of the metal is (Mass of electron $m_{e} = 9 \times 10^{-31} kg$) (in $eV$)

The spectrum obtained from an electric lamp or a red-hot heater is:

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