Assertion: Distance between two coherent sources `S_1 and S_2` is `4lambda`. A large circle is drawn around these sources with centre of circle lying at centre of `S_1 and S_2`. There are total 16 maxima on this circle.
Reason: Total number of minimas on this circle are less, compared to total number of maximas.

Options

A. (a)If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.
B. (b)If both Assertion and Reason are true and the Reason is not the correct explanation of the Assertion.
C. (c) If Assertion is true, but the Reason is false.
D. (d) If Assertion is false, but the Reason is true.

Answer

C

Explanation

At points P and R ,
` |Deltax| = S_1S_2 = 4lambda`, therefore maxima .

At Q and S
`Deltax=0,` therefore again maxima. Then, three
maxima in each quadrant (between P and Q or
between Q and R etc. ) corresponding to
`|Deltax|=lambda, 2lambda and 3lambda`. Therefore, there are total 16 maxima.
In each quadrant there are four minima
corresponding to `|Deltax|= 0.5lambda, 1.5lambda,2.5lambda` and
`3.5lambda`. Hence, there are total 16 minima.