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In Young's double slit interference experiment the wavelength of light used is 6000 Å . If the path difference between waves reaching a point P on the screen is 1.5 microns, then at that point P
  • a)
    Second bright band occurs
  • b)
    Second dark band occurs
  • c)
    Third dark band occurs
  • d)
    Third bright band occurs
Correct answer is option 'C'. Can you explain this answer?
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In Young's double slit interference experiment the wavelength of l...
Path Difference Calculation:
The path difference is given as 1.5 microns or 1.5 x 10^-6 meters.

Condition for Dark Bands:
For dark bands to occur in Young's double slit experiment, the path difference between the two waves should be a multiple of half the wavelength of light.

Calculating Wavelength:
Given that the wavelength of light used is 6000 angstroms or 6000 x 10^-10 meters.

Calculating Dark Band Order:
To find the dark band order, we divide the path difference by the wavelength:
1.5 x 10^-6 / (6000 x 10^-10) = 0.25

Conclusion:
Since the dark band order is 0.25, which is not a whole number, it means that the third dark band occurs at point P on the screen. This is because the path difference corresponds to a third-order dark band.
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In Young's double slit interference experiment the wavelength of light used is 6000 Å . If the path difference between waves reaching a point P on the screen is 1.5 microns, then at that point Pa)Second bright band occursb)Second dark band occursc)Third dark band occursd)Third bright band occursCorrect answer is option 'C'. Can you explain this answer?
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