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A plane electromagnetic wave is incident...

A plane electromagnetic wave is incident on a material surface. The wave delivers momentum p and energy E.

A

`p ne0, Ene 0`

B

`p = 0, E = 0`

C

`p = 0, E ne 0`

D

`p ne 0, E = 0`

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The correct Answer is:
To solve the question regarding the behavior of a plane electromagnetic wave incident on a material surface, we can follow these steps: ### Step 1: Understand the properties of electromagnetic waves Electromagnetic waves carry both energy and momentum. The energy \( E \) of an electromagnetic wave is related to its intensity and frequency, while the momentum \( p \) is related to its intensity and the speed of light. ### Step 2: Identify the formulas for energy and momentum The formulas for energy and momentum of electromagnetic waves are: - Energy \( E = \frac{hc}{\lambda} \) where \( h \) is Planck's constant, \( c \) is the speed of light, and \( \lambda \) is the wavelength. - Momentum \( p = \frac{I}{c} \) where \( I \) is the intensity of the wave. ### Step 3: Analyze the interaction with the material surface When an electromagnetic wave is incident on a material surface, it can be absorbed, reflected, or transmitted. In any case, the wave will deliver some energy and momentum to the material. ### Step 4: Conclude the outcomes Since the wave delivers both energy and momentum to the material surface, we can conclude: - \( p \neq 0 \) (momentum is delivered) - \( E \neq 0 \) (energy is delivered) ### Final Answer The correct statement is that when a plane electromagnetic wave is incident on a material surface, both momentum \( p \) and energy \( E \) are delivered, thus \( p \neq 0 \) and \( E \neq 0 \). ---

To solve the question regarding the behavior of a plane electromagnetic wave incident on a material surface, we can follow these steps: ### Step 1: Understand the properties of electromagnetic waves Electromagnetic waves carry both energy and momentum. The energy \( E \) of an electromagnetic wave is related to its intensity and frequency, while the momentum \( p \) is related to its intensity and the speed of light. ### Step 2: Identify the formulas for energy and momentum The formulas for energy and momentum of electromagnetic waves are: - Energy \( E = \frac{hc}{\lambda} \) where \( h \) is Planck's constant, \( c \) is the speed of light, and \( \lambda \) is the wavelength. ...
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