In a pipe closed at one end, air column is vibrating in the fourth overtone so the vibrating air column has ' x ' nodes and ' y ' antinodes. The values of x and y are respectively

Step-by-step solution

For a pipe closed at one end, the fundamental mode (zeroth overtone) has 1 node and 1 antinode. In general, the n -th overtone corresponds to the (2n+1) -th harmonic and has (n+1) nodes and (n+1) antinodes. For the fourth overtone, n = 4 . Number of nodes, x = 4 + 1 = 5 Number of antinodes, y = 4 + 1 = 5 Thus, the values of x and y are 5 and 5 respectively. Answer: 5 , 5