Dual Nature of Radiation and Matter

A photon of wavelength 300 nm interacts with a stationary hydrogen atom in ground state. During the interaction, whole energy of the photon is transferred to the electron of the atom. State which possibility is correct. (Consider, Plank constant =4 x 10^-15 eVs, velocity of light = 3 x 10m/s, ionisation energy of hydrogen = 13.6 eV)

• Electron will be knocked out of the atom

• Electron will go to any excited state of the atom

• Electron will go only to first excited state of the atom

• Electron will keep orbiting in the ground state of the atom

The work function of metals is in the range of 2eV to 5eV. Find which of the following wavelength of light cannot be used for photoelectric effect? (Consider, Plank
constant = 4 x 10^-15 eVs, velocity of light = 3 x 10⁸ m/s)

• 510 nm

• 650 nm

• 400 nm

• 570 nm