An organ pipe closed at one end produces 5^ th overtone of an air column. It is found that air in the pipe is vibrating with x nodes and y antinodes. The value of x and y is

Question

Quantrex Academy · Accepted Answer

Correct answer: B. x = 6 and y = 6

For an organ pipe closed at one end, the fundamental mode (

0^{\text{th}}

overtone) consists of

1

node and

1

antinode.

The

n^{\text{th}}

overtone corresponds to the

(2n+1)^{\text{th}}

harmonic.

The number of nodes in the

n^{\text{th}}

overtone is

n + 1

.

The number of antinodes in the

n^{\text{th}}

overtone is

n + 1

.

For the

5^{\text{th}}

overtone,

n = 5

.

Number of nodes,

x = 5 + 1 = 6

.

Number of antinodes,

y = 5 + 1 = 6

.

Answer:

x = 6

and

y = 6

An organ pipe closed at one end produces 5^ th overtone of an air...

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