Question

The maximum wavelength of light for photoelectric effect from a metal is $$200\ nm$$. The maximum kinetic energy of electron which is emitted by the radiation of wavelength $$100\ nm$$ will be:

A
12.4 eV
B
6.2 eV
C
100 eV
D
200 eV

Solution

The correct option is B $$6.2\ eV$$Given that, The maximum wave length $$\lambda_{0} =200\,nm$$ Radiation of wave length $$\lambda =100\,nm$$ We know that, the maximum K.E is   $$K.E=12400\left[ \dfrac{1}{\lambda }-\dfrac{1}{{{\lambda }_{0}}} \right]$$  $$K.E=12400\left[ \dfrac{1}{1000}-\dfrac{1}{2000} \right]$$  $$K.E=12400\times \dfrac{1}{2000}$$  $$K.E=6.2\,eV$$ Hence, the kinetic energy is $$6.2\ eV$$Physics

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