The temperature of an ideal gas in three dimensions is $300 \mathrm{K}.$ The corresponding de-Broglie wavelength of the electron approximately at $300 \mathrm{K}$ is:

$\left[m_e=\right.$mass of electron $=9\times {10}^{-31} \mathrm{kg}$, $h=$Planck constant $=6.6\times {10}^{-34} \mathrm{J} \mathrm{s}$, $k_B=$Boltzmann constant$\left.=1.38\times {10}^{-23} \mathrm{J} {\mathrm{K}}^{-1}\right]$

• A

  $2.26 \mathrm{nm}$
• B

  $3.25 \mathrm{nm}$
• C

  $8.46 \mathrm{nm}$
• Correct answer
  D

  $6.26 \mathrm{nm}$

Hence, the correct answer is option: 'D'.