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# The de Broglie wavelength

Question:

The de Broglie wavelength $(\lambda)$ associated with a photoelectron varies with the frequency $(v)$ of the incident radiation as, $\left[v_{0}\right.$ is thrshold frequency]:

1. $\lambda \propto \frac{1}{\left(v-v_{0}\right)^{\frac{3}{2}}}$

2. $\lambda \propto \frac{1}{\left(\mathrm{v}-\mathrm{v}_{0}\right)^{\frac{1}{2}}}$

3. $\lambda \propto \frac{1}{\left(v-v_{0}\right)^{\frac{1}{4}}}$

4. $\lambda \propto \frac{1}{\left(v-v_{0}\right)}$

Correct Option: , 2

Solution: