Question 143: Dual Nature of Matter and Radiation

Question

The de Broglie wavelengths for an electron and a photon are $$\lambda$$e and $$\lambda$$p respectively. For the same kinetic energy of electron and photon, which of the following presents the correct relation between the de Broglie wavelengths of two ?

Accepted Answer

$${\lambda _p} = {h \over p} = {{hc} \over E}$$ ...... (i)
$${\lambda _e} = {h \over {\sqrt {2mE} }}$$ ...... (ii)
From (i) and (ii)
$${\lambda _p} \propto \lambda _e^2$$

Answer

$${\lambda _p} \propto \lambda _e^2$$

Answer

$${\lambda _p} \propto {\lambda _e}$$

Answer

$${\lambda _p} \propto \sqrt {{\lambda _e}} $$

Answer

$${\lambda _p} \propto \sqrt {{1 \over {{\lambda _e}}}} $$

Dual Nature of Matter and Radiation

The de Broglie wavelengths for an electron and a photon are $\lambdae and \lambda$p respectively. For the same kinetic energy of electron and photon, which of the following presents the correct relation between the de Broglie wavelengths of two ?

Choose the correct answer: