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. `4 I_(0)`
B. `2 I_(0)`
C. `I_(0)`
D. `3 I_(0)`

Answer

B

Explanation

`I_(max)=(sqrt((I_(0))/(2))+sqrt((I_(0))/(2)))^(2)=2I_(0)`