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As a wave propagates,
- a)the wave intensity remains constant for a plane wave
- b)the wave i ntensity decreases as the in verse of the distance from the source for a spherical wave
- c)the wave intensity decreases as the inverse square of the distance from the source for a spherical wave
- d)total intensity of the spherical wave over the spherical surface centred at the source remains constant at all times.
Correct answer is option 'A,C,D'. Can you explain this answer?
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Verified Answer
As a wave propagates,a)the wave intensity remains constant for a plane...
For a plane wave, intensity (energy crossing per unit area per unit time) is constant at all points.
But for a spherical wave, intensity at a distance r from a point source of power (P), is given by
But for a spherical wave, intensity at a distance r from a point source of power (P), is given by
But the total intensity of the spherical wave over the spherical surface centered at the source remains constant at all times.
NOTE : For line source 
Most Upvoted Answer
As a wave propagates,a)the wave intensity remains constant for a plane...
Explanation:
Plane wave:
A plane wave is a type of wave in which the wavefronts are flat and perpendicular to the direction of propagation. In a plane wave, the wave intensity remains constant as the wave propagates. This means that the energy carried by the wave remains constant over time and distance. Therefore, option A is correct.
Spherical wave:
A spherical wave is a type of wave in which the wavefronts are spherical and centered at the source. As a spherical wave propagates, the wave intensity decreases with distance from the source. The rate at which the intensity decreases depends on the geometry of the wave. In the case of a spherical wave, the intensity decreases as the inverse square of the distance from the source. This means that as the distance from the source doubles, the intensity decreases by a factor of four. Therefore, option C is correct.
Total intensity:
The total intensity of a wave is the sum of the intensities of all the points on the wavefront. For a spherical wave, the total intensity over the spherical surface centered at the source remains constant at all times. This is because the wavefronts of a spherical wave expand uniformly in all directions, so the same amount of energy is spread over a larger surface area as the wave propagates. Therefore, option D is correct.
In conclusion, as a wave propagates, the intensity remains constant for a plane wave (option A), decreases as the inverse square of the distance for a spherical wave (option C), and the total intensity over the spherical surface centered at the source remains constant at all times (option D).
Plane wave:
A plane wave is a type of wave in which the wavefronts are flat and perpendicular to the direction of propagation. In a plane wave, the wave intensity remains constant as the wave propagates. This means that the energy carried by the wave remains constant over time and distance. Therefore, option A is correct.
Spherical wave:
A spherical wave is a type of wave in which the wavefronts are spherical and centered at the source. As a spherical wave propagates, the wave intensity decreases with distance from the source. The rate at which the intensity decreases depends on the geometry of the wave. In the case of a spherical wave, the intensity decreases as the inverse square of the distance from the source. This means that as the distance from the source doubles, the intensity decreases by a factor of four. Therefore, option C is correct.
Total intensity:
The total intensity of a wave is the sum of the intensities of all the points on the wavefront. For a spherical wave, the total intensity over the spherical surface centered at the source remains constant at all times. This is because the wavefronts of a spherical wave expand uniformly in all directions, so the same amount of energy is spread over a larger surface area as the wave propagates. Therefore, option D is correct.
In conclusion, as a wave propagates, the intensity remains constant for a plane wave (option A), decreases as the inverse square of the distance for a spherical wave (option C), and the total intensity over the spherical surface centered at the source remains constant at all times (option D).
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As a wave propagates,a)the wave intensity remains constant for a plane waveb)the wave i ntensity decreases as the in verse of the distance from the source for a spherical wavec)the wave intensity decreases as the inverse square of the distance from the source for a spherical waved)total intensity of the spherical wave over the spherical surface centred at the source remains constant at all times.Correct answer is option 'A,C,D'. Can you explain this answer?
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