Question 125: Dual Nature of Matter and Radiation

Question

An electron with speed v and a photon with speed c have the same de-Broglie wavelength. If the kinetic energy and momentum of electron are E
e
and p
e
and that of photon are E
ph
and p
ph
respectively. Which of the following is correct?

Accepted Answer

$$\lambda  = {h \over p} \Rightarrow p = {h \over \lambda }$$
Now, A/Q, $${h \over {{P_e}}} = {h \over {{P_{photon}}}}$$
$$ \Rightarrow {P_e} = {P_{photon}}$$ ....... (i)
Now, $${K_e} = {1 \over 2}M{v^2} = {{Pv} \over 2}$$
$${K_{ph}} = m{c^2} = Pc$$ ..... (ii)
$${{{K_e}} \over {{K_{eq}}}} = {v \over {2c}}$$

Answer

$${{{E_e}} \over {{E_{ph}}}} = {{2c} \over v}$$

Answer

$${{{E_e}} \over {{E_{ph}}}} = {v \over {2c}}$$

Answer

$${{{p_e}} \over {{p_{ph}}}} = {{2c} \over v}$$

Answer

$${{{p_e}} \over {{p_{ph}}}} = {v \over {2c}}$$

Dual Nature of Matter and Radiation

An electron with speed v and a photon with speed c have the same de-Broglie wavelength. If the kinetic energy and momentum of electron are E e and p e and that of photon are E ph and p ph respectively. Which of the following is correct?

Choose the correct answer: