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

The maximum intensity produced at D is given by

Options

A. `pi R`
B. `(pi R)/(2)`
C. `(pi R)/(4)`
D. `(pi R)/(3)`

Answer

A, B, C, D

Explanation

`(2pi)/(lamda)Delta =2pin(n=0,1,2,3,....)rArr (2pi)/(lamda)(piR)=2pin`
`rArrlamda=(piR)/(n)=piR,(piR)/(2),(piR)/(3),(piR)/(4)....`