Question

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). 
Assertion (A): Electromagnetic waves carry energy but not momentum. 
Reason (R): Mass of a photon is zero. In the light of the above statements.
choose the most appropriate answer from the options given below:

• A. Both (A) and (R) are true and (R) is the correct explanation of (A)
• B. (A) is false but (R) is true
• C. Both (A) and (R) are true but (R) is not the correct explanation of (A)
• D. (A) is true but (R) is false

Hint:

Photons carry momentum despite having no rest mass, and their energy is related to their momentum.

Answer 1

The Correct Option is C

To evaluate the given statements and determine the correct option, we need to analyze both the Assertion (A) and the Reason (R).

Assertion (A): Electromagnetic waves carry energy but not momentum.
Electromagnetic waves, which include light, do indeed carry energy. However, contrary to the assertion, they also carry momentum. The momentum (\( p \)) of a photon is related to its energy (\( E \)) by the equation:

\( p = \frac{E}{c} \)

where \( c \) is the speed of light. Hence, the assertion is false.

Reason (R): Mass of a photon is zero.
This statement is true. Photons are massless particles and this fact is significant in relativity and quantum mechanics.

Analysis:
While Reason (R) is true, it does not correctly explain Assertion (A) because Assertion (A) itself is incorrect. The correct understanding is that electromagnetic waves carry both energy and momentum. Thus, the appropriate conclusion is:

The correct answer is: both (A) and (R) are true, but (R) is not the correct explanation of (A).