A plane electromagnetic wave of wave intensity 6 W / m^2 strikes a small mirror of area 40 cm^

step 1 In this problem, in one second I can write the value of p is equal to 2 u by c, which is equal t

A plane electromagnetic wave of wave intensity 6 W / m^2...

A plane electromagnetic wave of wave intensity $6 \mathrm{~W} / \mathrm{m}^{2}$ strikes a small mirror of area $40 \mathrm{~cm}^{2}$, held perpendicular to the approaching wave. The momentum transferred by the wave to the mirror each second will be (A) $6.4 \times 10^{-7} \mathrm{~kg}-\mathrm{m} / \mathrm{s}$ (B) $4.8 \times 10^{-8} \mathrm{~kg}-\mathrm{m} / \mathrm{s}$ (C) $3.2 \times 10^{-9} \mathrm{~kg}-\mathrm{m} / \mathrm{s}$ (D) $1.6 \times 10^{-10} \mathrm{~kg}-\mathrm{m} / \mathrm{s}$

A plane electromagnetic wave of wave intensity $6 \mathrm{~W} / \mathrm{m}^{2}$ strikes a small mirror of area $40 \mathrm{~cm}^{2}$, held perpendicular to the approaching wave. The momentum transferred by the wave to the mirror each second will be
(A) $6.4 \times 10^{-7} \mathrm{~kg}-\mathrm{m} / \mathrm{s}$
(B) $4.8 \times 10^{-8} \mathrm{~kg}-\mathrm{m} / \mathrm{s}$
(C) $3.2 \times 10^{-9} \mathrm{~kg}-\mathrm{m} / \mathrm{s}$
(D) $1.6 \times 10^{-10} \mathrm{~kg}-\mathrm{m} / \mathrm{s}$

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Key Concepts

Momentum Transfer by Reflection

Momentum transfer by reflection deals with the process in which a photon or wave, upon striking a surface and reflecting, imparts momentum to that surface. In the case of a perfectly reflecting mirror, the momentum change is effectively doubled compared to absorption, as the direction of the photon's momentum is reversed, resulting in a higher force on the mirror.

Radiation Pressure

Radiation pressure is the pressure exerted when electromagnetic radiation impinges on a surface. It arises because light carries momentum, and when it is absorbed or reflected by a surface, momentum is transferred to that surface. The concept of radiation pressure is important in contexts like solar sails and optical trapping.

Electromagnetic Wave Intensity

Electromagnetic wave intensity is the power per unit area carried by the wave, typically measured in watts per square meter (W/m²). It indicates how much energy is being delivered by the wave to a surface, which is key when evaluating the forces exerted by the wave, such as radiation pressure.

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