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.

2. If a minima is formed at the detector, then the magnitude of wavelength `lambda` of the wave produced is given by

Options

A. `pi R`
B. `(3 pi R)/(2)`
C. `(2 pi R)/(3)`
D. `(2 pi R)/(5)`

Answer

A, C, D

Explanation

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