Calculate the de Broglie wavelength of an electron in the first Bohr orbit of a hydrogen atom if the velocity of an electron in the first orbit is $2.2 \times 10^6 \text{ m s}^{-1}$. [mass of electron = $9.1 \times 10^{-31} \text{ kg}$, Planck's constant $(h)$ = $6.626 \times 10^{-34} \text{ J s}$]

• A
  $3.31 \times 10^{-10} \text{ m}$
• B
  $3.01 \times 10^{-10} \text{ m}$
• C
  $3.62 \times 10^{-10} \text{ m}$
• D
  $3.71 \times 10^{-10} \text{ m}$