Q.

Given below are two statements : one is labelled as Assertion (A) and 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 :

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a

(A) is false but (R) is true.

b

Both (A) and (R) are true and (R) is the correct explanation of (A).

c

(A) is true but (R) is false.

d

Both (A) and (R) are true but (R) is not the correct explanation of (A).

answer is B.

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Detailed Solution

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

This statement is incorrect. Electromagnetic (EM) waves do carry both energy and momentum.

The energy of an EM wave is given by:

  • E=hfE = h f

where hh is Planck's constant and ff is the frequency.

The momentum of a photon (which makes up EM waves) is given by:

  • p=Ec=hfc=hλp = \frac{E}{c} = \frac{h f}{c} = \frac{h}{\lambda}

This shows that EM waves do carry momentum, which is why radiation pressure exists.

Thus, Assertion (A) is incorrect.

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

This statement is correct. Photons have zero rest mass but still carry momentum due to their wave nature.

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