A narrow tube is bend in the form of a circle of radius R, as shown in the figure. Two small holes S and D are made in the tube at the positions right angle to each other. A source placed at S generated a wave of intensity `I_(0)` which is equally divided into two parts : One part travels along the longer path, while the other travels along the shorter path. Both the parts wave meet at the point D where a detector is placed.

The maximum value of `lamda` to produce a maxima at D is given by :-

Options

A. `pi R`
B. `2 pi R`
C. `(pi R)/(2)`
D. `(3 pi R)/(2)`

Answer

A

Explanation

`lamda_(max)` to produce maxima at `D = piR`