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Two independent monochromatic sodium lamps can not produce interference because
  • a)
     The frequencies of two sources are different
  • b)
    The phase difference between two sources changes with respect to time
  • c)
    The two sources become coherent
  • d)
    The amplitudes of two sources are different
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Two independent monochromatic sodium lamps can not produce interferenc...
Two sources of light are said to be coherent if they emit light which always has a constant phase difference between them. It means that the two sources must emit radiations of the same wavelength. The two independent sources cannot be coherent because of the fact that independent sources cannot maintain a constant phase difference between them. For experimental purposes, two virtual sources obtained from a single parent source can act as coherent. In such a case, all the random phase changes occurring in the parent source are repeated in the virtual sources also, thus maintaining a constant phase difference between them. Since the wavelength of light waves is extremely small, the two sources must be narrow and must also be close to each other.
Interference can never be obtained with two independent sources of light, such as two bulbs or two candles, due to the fact that any two independent beams of light are always incoherent.
 
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Two independent monochromatic sodium lamps can not produce interferenc...
The correct answer is A actually Two sources of light are said to be coherent if they emit light which always has a constant phase difference between them. It means that the two sources must emit radiations of the same wavelength. The two independent sources cannot be coherent because of the fact that independent sources cannot maintain a constant phase difference between them. For experimental purposes, two virtual sources obtained from a single parent source can act as coherent. In such case all the random phase changes occurring in the parent source are repeated in the virtual sources also, thus maintaining a constant phase difference between them. Since the wavelength of light waves is extremely small, the two sources must be narrow and must also be close to each other.

Interference can never be obtained with two independent sources of light, such as two bulbs or two candles, due to the fact that any two independent beams of light are always incoherent.
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Community Answer
Two independent monochromatic sodium lamps can not produce interferenc...
Explanation:

Interference is the phenomenon that occurs when two or more waves superpose to form a resultant wave. In order for interference to occur, certain conditions must be met. In the case of two independent monochromatic sodium lamps, interference cannot occur because of the following reasons:

Different Frequencies:
Option (a) states that the frequencies of the two sources are different. Interference can only occur when two waves have the same frequency. If the frequencies of the two sodium lamps are different, then the waves they produce will not be in phase with each other, and interference will not be observed.

Varying Phase Difference:
Option (b) states that the phase difference between the two sources changes with respect to time. In order for interference to occur, the phase difference between the waves must remain constant. If the phase difference is constantly changing, the waves will not maintain a consistent pattern of constructive and destructive interference, and interference will not be observed.

Lack of Coherence:
Option (c) states that the two sources become coherent. Coherence refers to the property of waves where they maintain a constant phase relationship. In order for interference to occur, the waves must be coherent. If the two sodium lamps are independent, it means that they are not synchronized and their waves are not coherent. Therefore, interference cannot occur.

Unequal Amplitudes:
Option (d) states that the amplitudes of the two sources are different. While the amplitude of a wave can affect the intensity of the interference pattern, it does not prevent interference from occurring. Interference can still occur even if the amplitudes of the waves are different.

Therefore, the correct answer is option (b) - the phase difference between the two sources changes with respect to time. This is the main reason why two independent monochromatic sodium lamps cannot produce interference.
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Two independent monochromatic sodium lamps can not produce interference becausea)The frequencies of two sources are differentb)The phase difference between two sources changes with respect to timec)The two sources become coherentd)The amplitudes of two sources are differentCorrect answer is option 'B'. Can you explain this answer?
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