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The maximum intensity in interference pattern is how many times the intensity due to each slit?
  • a)
    Two times
  • b)
    Four times
  • c)
    Eight times
  • d)
    Ten times
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The maximum intensity in interference pattern is how many times the in...
Interference pattern and maximum intensity:

When two coherent sources of light are made to interfere, the resulting pattern is called an interference pattern. In this pattern, there are alternate bright and dark fringes. The bright fringes have maximum intensity while the dark fringes have zero intensity.

Relation between intensity and number of slits:

The intensity of light passing through a single slit is given by the equation:

I = (I_0 / 2) * (sin(theta)/theta)^2

where I_0 is the intensity of the incident light, theta is the angle between the incident light and the direction of observation.

When two identical slits are placed close to each other, the intensity of the light at different points on the screen can be calculated by adding the intensity due to each slit. At some points, the intensity due to one slit will be equal and opposite to the intensity due to the other slit, resulting in destructive interference and a dark fringe. At other points, the intensity due to both slits will add up, resulting in constructive interference and a bright fringe.

Maximum intensity in interference pattern:

The maximum intensity in an interference pattern occurs at the bright fringes. At these points, the intensity due to each slit adds up constructively, resulting in a maximum intensity. The intensity at the bright fringes is given by the equation:

I_max = 4 * I_0 * (cos(theta/2))^2

where I_0 is the intensity of the incident light, theta is the angle between the incident light and the direction of observation.

Relation between maximum intensity and intensity due to each slit:

From the above equation, we can see that the maximum intensity is four times the intensity of the incident light. Since the intensity due to each slit is half the intensity of the incident light (I_0/2), the maximum intensity is four times the intensity due to each slit.

Therefore, the correct answer is option B, i.e., four times.
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The maximum intensity in interference pattern is how many times the in...
Correct answer is option B
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The maximum intensity in interference pattern is how many times the intensity due to each slit?a) Two times b) Four times c) Eight times d) Ten times Correct answer is option 'B'. Can you explain this answer?
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