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NEET
Exam
NEET
Subject
Physics
Chapter
Electromagnetic Waves

NEET · Physics · Electromagnetic Waves

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

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A): The momentum transferred to a completely absorbing surface of area AA exposed to normally incident light of intensity II for time tt is IAtc\dfrac{IAt}{c}.

Reason (R): The total energy incident on the surface is IAtIAt and the momentum transferred by the absorbed electromagnetic wave is its energy divided by the speed of light cc.

In the light of the above statements, choose the most appropriate answer from the options given below:

Options

  1. ABoth Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  2. BBoth Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
  3. CAssertion (A) is true but Reason (R) is false.
  4. DAssertion (A) is false but Reason (R) is true.

Correct answer

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

Step-by-step solution

Intensity II is defined as the energy incident per unit area per unit time. Therefore, the total energy EE incident on a surface of area AA in time tt is given by E=IAtE = IAt.

For a completely absorbing surface, the entire incident energy is absorbed. The momentum pp transferred by an electromagnetic wave is related to its energy EE by the relation p=Ecp = \dfrac{E}{c}, where cc is the speed of light.

Substituting the expression for energy, we get p=IAtcp = \dfrac{IAt}{c}.

Thus, both Assertion (A) and Reason (R) are true, and Reason (R) provides the correct logical derivation for Assertion (A).

Answer: Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
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