The system of rods shown in the figure vibrates at the same frequency and forms a standing wave. The ratio of the number of antinodes in the two rods if the radius of rod is twice the radius of is:
Step 1: Given Data
Let the equal frequency of the two rods be
Let the antinode of rod be .
Let the antinode of rod be .
The radius of the rod is
Radius of rod is
Let the area of rod be .
Area of rod is
Let the length of the rods be .
Let the time period be .
Let the density be .
Step 2: Formula Used
is the area
The area of the rod is
Area of rod is
Step 3: Calculate the Ratio
Hence, the correct option is B.