MCQEasyJEE 2025Characteristics of EM Waves

JEE Physics 2025 Question with Solution

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

Answer

Correct answer:B

Step-by-step solution

Standard Method

Given: Assertion (A): Electromagnetic waves carry energy but not momentum.

Find: Which option correctly evaluates Assertion (A) and Reason (R).

Electromagnetic waves carry both energy and momentum. For a photon, momentum and energy are related by

p=Ecp = \frac{E}{c}

So the statement that electromagnetic waves carry energy but not momentum is false.

Reason (R): Mass of a photon is zero.

This statement is true. A photon has zero rest mass, yet it still carries momentum and energy.

Therefore, Assertion (A) is false but Reason (R) is true. The correct option is B.

Detailed Analysis

Given: Assertion (A): Electromagnetic waves carry energy but not momentum.

Find: The most appropriate answer from the given options.

First analyze Assertion (A). Electromagnetic waves are associated with energy transport, and they also possess momentum. For photons,

E=hνE = h\nu

and

p=Ecp = \frac{E}{c}

Hence, electromagnetic waves do not carry only energy; they carry momentum as well. So Assertion (A) is false.

Now analyze Reason (R). The mass of a photon is zero. This is true.

However, zero rest mass does not mean zero momentum. A photon can have momentum even though its rest mass is zero.

So the correct evaluation is:

  • Assertion (A) is false
  • Reason (R) is true

Conclusion: The correct option is B.

Note: The provided page shows a contradictory textual statement in one place, but the worked analysis and the marked correct option identify Assertion (A) as false and Reason (R) as true.

Common mistakes

  • Assuming that zero mass means zero momentum. This is wrong because photons have zero rest mass but still carry momentum. Use the relation p=Ecp = \frac{E}{c} for photons.

  • Reading only the first part of the assertion and noting that electromagnetic waves carry energy, but ignoring the phrase "not momentum". The full assertion must be checked, and it is false because electromagnetic waves also carry momentum.

  • Trusting the contradictory concluding sentence in the solution text without checking the physics. Always verify the statement using the photon relation between energy and momentum before selecting the option.

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