Physics 9702 · AS & A Level · Stationary waves

Stationary waves — practice question

(a(i))[1]

Define what is meant by the wavelength of a progressive wave.

(a(ii))[1]

State the meaning of an antinode in a stationary wave.

(b(i))[3]

A loudspeaker emitting sound at constant frequency is positioned close to the open end of a pipe, as shown in Fig. 4.1. A movable piston is a distance $x$ from the open end of the pipe. The value of $x$ is increased from $x = 0$ by moving the piston to the left at a steady speed of $0.75\,\text{cm s}^{-1}$. The speed of sound in the pipe is $340\,\text{m s}^{-1}$. A much louder sound is heard for the first time when $x = 4.5\,\text{cm}$. Assume that there is an antinode of a stationary wave at the open end of the pipe. Determine the frequency of the sound in the pipe.

(b(ii))[2]

After a certain time, a second much louder sound is heard. Calculate the interval of time between the first much louder sound and the second much louder sound being heard.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: the distance the wavefront/energy moves in one cycle, or the minimum separation between neighbouring wavefronts

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI