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As a result of reflections from a plane conducting wall, electromagnetic waves acquire an apparent velocity greater greater than the velocity of light in space. This is called the
- a)velocity of propagation
- b)normal velocity
- c)group velocity
- d)phase velocity
Correct answer is option 'D'. Can you explain this answer?
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As a result of reflections from a plane conducting wall, electromagnet...
Explanation:
When electromagnetic waves reflect from a conducting surface, they undergo a phase shift. This phase shift results in a change in the apparent velocity of the wave. The apparent velocity of the wave is the speed at which the wave appears to be traveling from the perspective of an observer.
Phase Velocity:
The phase velocity of an electromagnetic wave is the speed at which the wave's phase propagates through space. This velocity can be expressed as:
v_phase = λf
where λ is the wavelength of the wave and f is its frequency. The phase velocity of an electromagnetic wave is always greater than the velocity of light in space. This is because the velocity of light in space is determined by the physical properties of the medium through which the wave is propagating. In contrast, the phase velocity of an electromagnetic wave is determined by its frequency and wavelength.
Group Velocity:
The group velocity of an electromagnetic wave is the velocity at which energy is transmitted by the wave. This velocity can be expressed as:
v_group = dω/dk
where ω is the wave's angular frequency and k is its wave vector. The group velocity of an electromagnetic wave is always less than or equal to the velocity of light in space. This is because the group velocity is determined by the physical properties of the medium through which the wave is propagating.
Conclusion:
In summary, reflections from a conducting wall can result in an apparent increase in the velocity of an electromagnetic wave. This increase is due to a phase shift that occurs during reflection. The phase velocity of the wave is greater than the velocity of light in space, while the group velocity is less than or equal to the velocity of light in space.
When electromagnetic waves reflect from a conducting surface, they undergo a phase shift. This phase shift results in a change in the apparent velocity of the wave. The apparent velocity of the wave is the speed at which the wave appears to be traveling from the perspective of an observer.
Phase Velocity:
The phase velocity of an electromagnetic wave is the speed at which the wave's phase propagates through space. This velocity can be expressed as:
v_phase = λf
where λ is the wavelength of the wave and f is its frequency. The phase velocity of an electromagnetic wave is always greater than the velocity of light in space. This is because the velocity of light in space is determined by the physical properties of the medium through which the wave is propagating. In contrast, the phase velocity of an electromagnetic wave is determined by its frequency and wavelength.
Group Velocity:
The group velocity of an electromagnetic wave is the velocity at which energy is transmitted by the wave. This velocity can be expressed as:
v_group = dω/dk
where ω is the wave's angular frequency and k is its wave vector. The group velocity of an electromagnetic wave is always less than or equal to the velocity of light in space. This is because the group velocity is determined by the physical properties of the medium through which the wave is propagating.
Conclusion:
In summary, reflections from a conducting wall can result in an apparent increase in the velocity of an electromagnetic wave. This increase is due to a phase shift that occurs during reflection. The phase velocity of the wave is greater than the velocity of light in space, while the group velocity is less than or equal to the velocity of light in space.
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As a result of reflections from a plane conducting wall, electromagnetic waves acquire an apparent velocity greater greater than the velocity of light in space. This is called thea)velocity of propagationb)normal velocityc)group velocityd)phase velocityCorrect answer is option 'D'. Can you explain this answer?
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