A filter transition only the radiationof wavelength greater than 440 nm. Radiation from a hydrogen discharge tube goes through such a filter and is incident on a metel of work function 2.0eV . Find the stopping potential which can stop the photoelectrons.

Explanation

To solve the problem, we will use the Einstein photoelectric equation, which relates the energy of the incident photons to the work function of the metal and the stopping potential. The equation is given by:

\[ E = \frac{hc}{\lambda} - \phi \]

Where:
- \( E \) is the kinetic energy of the emitted photoelectrons, which can also be expressed as \( eV_0 \) (where \( V_0 \) is the stopping potential).
- \( h \) is Planck's constant (\( 6.63 \times 10^{-34} \, \text{J s} \)).
- \( c \) is the speed of light (\( 3 \times 10^8 \, \text{m/s} \)).
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