The condition for a stable wave in an orbit of radius $r$ is given by the de Broglie relationship where the circumference of the orbit must be an integral multiple of the wavelength.

  • A
    $n\lambda = 2\pi r$
  • B
    $n\lambda = \frac{1}{2}\pi r$
  • C
    $n\lambda = 8\pi r$
  • D
    $n\lambda = 4\pi r$

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If the radius of the first Bohr orbit of a hydrogen atom is $a_0$, what will be the de Broglie wavelength of an electron in its third excited state (in $\pi a_0$)?

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The de-Broglie's wavelength of an electron present in the first Bohr orbit of an $H$ atom is:

The de Broglie wavelength of an electron travelling with $20 \%$ of velocity of light is
$(h = 6.626 \times 10^{-34} \ J \ s; m_{e} = 9.1 \times 10^{-31} \ kg)$

The de Broglie wavelength $(\lambda)$ associated with a photoelectron varies with the frequency $(v)$ of the incident radiation as,[$v_0$ is threshold frequency]:

What is the de-Broglie wavelength of an electron,in a hydrogen atom,moving in an orbit having a maximum magnetic quantum number $m = +2$ in units of $\mathring{A}$?

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