Light of frequency   Hz is incident on a metal surface. Electrons with a maximum speed of   are ejected from the surface. Calculate the work function and the cut-off frequency. 

To solve this problem, we need to use concepts from the photoelectric effect, specifically Einstein’s photoelectric equation:

\[ E = h\nu = \phi + \frac{1}{2}mv^2 \]

where:
- \( E \) is the energy of the incident photon,
- \( h \) is Planck's constant (\(6.626 \times 10^{-34} \, \text{Js}\)),
- \( \nu \) is the frequency of the incident light,
- \( \phi \) is the work function of the metal,
- \( m \) is the mass of an electron (\(9.109 \times 10^{-31} \, \text{kg}\)),
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