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Question

If $c$ is the velocity of light in free space, the correct statements about photon among the following are:

A. The energy of a photon is $E = hv$.

B. The velocity of a photon is c.

C. The momentum of a photon, $p = \frac{hv}{c}$.

D. In a photon-electron collision, both total energy and total momentum are conserved.

E. Photon possesses positive charge.

Choose the correct answer from the options given below:

Options

A.A, C and D only
B.A, B, D and E only
C.A and B only
D.A, B, C and D only

Solution

Sol. [Key Concept: Speed of light c and properties of EM waves] [A] If $c$ is the velocity of light

$$\text{~}\text{so,}\text{~}E = h\nu\text{~}\text{(Energy of photon)}\text{~}$$

[B] Velocity of photon is equal to velocity of light i.e. c.

[C] $\lambda = \frac{h}{p}$

$$\begin{matrix} & p = \frac{h}{\lambda} \\ & p = \frac{hv}{c} \end{matrix}$$

[D] In photon-electron collision both total energy and total momentum are conserved.

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