Which of the following is correct for the two coherent light waves to produce zero light?
The light waves should travel in perpendicular directions.
The light waves are in phase with each other.
The light waves are out of phase with each other.
The light waves should pass through a prism.
Out of phase.
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The correct answer is: The light waves are out of phase with each other.
To understand why this is the correct answer, let's explain the concept of interference. When two coherent light waves superpose (combine), they can either reinforce each other or cancel each other out. This phenomenon is known as interference.
In interference, two waves are said to be in phase when their peaks and troughs align perfectly. When two in-phase waves superpose, they reinforce each other, resulting in a brighter light.
On the other hand, two waves are said to be out of phase when their peaks and troughs do not align. When two out-of-phase waves superpose, they cancel each other out, resulting in zero light.
The statement "The light waves should travel in perpendicular directions" is incorrect because the angle between the directions of the light waves does not affect their interference.
The statement "The light waves are in phase with each other" is incorrect because in-phase waves would actually produce a brighter light, not zero light.
The statement "The light waves should pass through a prism" is incorrect because the use of a prism is not necessary for the production of zero light due to interference.
Therefore, the correct answer is "The light waves are out of phase with each other" because this is the condition that leads to the cancellation of light.