JEE MainPhysicsWave OpticsMCQ+4 / −1
The maximum number of possible interference maxima for slit-separation equal to twice the wavelength in Young's double-slit experiment, is :
- Athree
- Bfive
- Cinfinite
- Dzero
View written solutionFree
Correct answer: B
-
Condition for interference maxima in YDSE
In Young's double-slit experiment, bright fringes (maxima) occur when the path difference satisfies where:
- = slit separation
- = wavelength
- = order of maximum ()
-
Given data
The slit separation is twice the wavelength:
Substituting into the maxima condition:
-
Possible values of
Since must satisfy we must have
Thus the allowed integer values of are:
-
Count the maxima
These correspond to:
- second order on one side:
- first order on one side:
- central maximum:
- first order on the other side:
- second order on the other side:
So total number of possible maxima is
-
Check options
- A: three incorrect
- B: five correct
- C: infinite incorrect
- D: zero incorrect
Final Answer:
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