Electrons are emitted from the cathode of a photocell of negligible work function, when photons of wavelength `lamda` are incident on it. Derive the expression for the de Broglie wavelength of the electrons emitted in terms of the wavelength of the incident light

Explanation

To derive the expression for the de Broglie wavelength of the electrons emitted from the cathode of a photocell when photons of wavelength \( \lambda \) are incident on it, we can follow these steps:

### Step 1: Calculate the energy of the incident photon
The energy \( E \) of a photon is given by the equation:
\[ E = \frac{hc}{\lambda} \]
where \( h \) is Planck's constant, \( c \) is the speed of light, and \( \lambda \) is the wavelength of the incident light.
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