Optics Question 869
Question: Two identical coherent sources are placed on a diameter of a circle of radius R at separation x (« R) symmetrical about the center of the circle. The sources emit identical wavelength each. The number of points on the circle of maximum intersity is
Options:
A) 20
B) 22
C) 24
D) 26
Show Answer
Answer:
Correct Answer: A
Solution:
[a] Path difference at P is
For intensity to be maximum,
or
Subsituting x= 51, we get
Therefore in all four quadrants there can be 20 maxima.
There are more maxima at
and
But n = 5 corresponds to
and
Therefore, total number of maxima are still 20, i.e., n = 1 to 4 in four quadrants (total 16) plus more at