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A : The radiation pressure due to light ...

A : The radiation pressure due to light waves is maximum when the surface is a perfect reflector.
R : The momentum transfer by the photons to a perfectly reflecting surface is maximum.

A

If both Assertion & Reason are true and the reason is the correct explanation of the assertion, then mark (1)

B

If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark (2)

C

If assertion is true statement but Reason is false, then mark (3)

D

If both Assertion and Reason are false statements, then mark (4)

Text Solution

AI Generated Solution

The correct Answer is:
To solve the assertion-reason question, we will analyze both the assertion (A) and the reason (R) step by step. ### Step 1: Understand the Assertion (A) The assertion states: "The radiation pressure due to light waves is maximum when the surface is a perfect reflector." - **Explanation**: Radiation pressure is defined as the force exerted by light waves per unit area on a surface. When light waves strike a surface, they impart momentum to that surface. For a perfect reflector, the light does not get absorbed; instead, it reflects back with the same momentum. This results in a greater change in momentum, which leads to higher radiation pressure. ### Step 2: Understand the Reason (R) The reason states: "The momentum transfer by the photons to a perfectly reflecting surface is maximum." - **Explanation**: When photons strike a perfectly reflecting surface, they reverse direction without losing any energy. The momentum of a photon is given by \( p = \frac{E}{c} \), where \( E \) is the energy of the photon and \( c \) is the speed of light. For a perfectly reflecting surface, the change in momentum for each photon is twice its initial momentum (since it goes from \( p \) to \( -p \)). This means that the total momentum transferred to the surface is maximized, resulting in maximum radiation pressure. ### Step 3: Conclusion Since both the assertion and the reason are true, and the reason correctly explains the assertion, we conclude that: - **Final Answer**: Both assertion and reason are true, and the reason is the correct explanation of the assertion.
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