A photon and an electron each have a wavelength of 1.00 AA. Using h = 6.626x10^-34 J s, c = 3.0x10^8 m s^-1, m_e = 9.1x10^-31 kg and 1 eV = 1.6x10^-19 J, the ratio (photon energy)/(electron kinetic energy) is closest to

JEE Advanced levelSingle correct optionDifficulty 3 of 3as145

A photon and an electron each have a wavelength of $1.00 \overset{˚}{A}$ . Using $h = 6.626 \times 1 0^{- 34} J s$ , $c = 3.0 \times 1 0^{8} m s^{- 1}$ , $m_{e} = 9.1 \times 1 0^{- 31} kg$ and $1 eV = 1.6 \times 1 0^{- 19} J$ , the ratio (photon energy)/(electron kinetic energy) is closest to

Photon:

E = h c / λ = 12424 eV

. Electron:

K = h^{2} / (2 m_{e} λ^{2}) = 150.8 eV

. Ratio

= 82.4