Consider the following statements about stationary waves A. The distance between two adjacent nodes or…

Consider the following statements about stationary waves A. The distance between two adjacent nodes or antinodes is equal to $\frac{\lambda}{2}(\lambda=$ wavelength of the wave $)$ B. A pressure node is always formed at the open end of the open organ pipe. choose the correct option from the following
  1. Only the statement $\mathrm{A}$ is true
  2. Only the statement B is true
  3. Both statements A and B are true
  4. Both statements A and B are wrong

Solution

The distance between two adjacent nodes or antinodes is equal to the wavelength of the wave. This statement is false, because in stationary waves, the distance between two adjacent nodes or two adjacent antinodes is half the wavelength ( $\lambda / 2 \lambda / 2$ ), not the full wavelength. Statement B: A pressure node is always formed at the open end of the open organ pipe. This statement is true. In an open organ pipe, the open ends are always pressure nodes because the air pressure at these points remains constant and equal to the atmospheric pressure.

Asked in: MHT CET 2022 (10 Aug Shift 2)

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