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22 A transverse water wave is moving along the surface of some water. This causes a ball to movevertically without moving horizontally as it floats upon the surface. At one instant, the ball is at theposition shown.2.4 m0.70 mballdirection ofwave travelNOT TOSCALEThe wave has a frequency of 0.20 Hz and an amplitude of 0.70 m. The distance between a troughand an adjacent peak is 2.4 m.What is the distance travelled by the ball in a time of 20 s?A 5.6 m B 9.6 m C 11.2 m D 19.2 m23 A sound wave travels from left to right across a room. The variation with distance across theroom of the displacement of the air molecules at one instant is shown.At which distance will the air pressure be lowest?displacementdistance from left-handend of roomrightleft0A B C D24 A source emits a sound wave of a single frequency. The Doppler effect causes a differentfrequency of sound to be heard by a stationary observer.What is a requirement for the Doppler effect to occur?A a source that is moving as it produces the sound waveB a source that produces a polarised sound waveC a source that produces a sound wave of changing amplitudeD a source that produces a sound wave of changing frequency

Question

22 A transverse water wave is moving along the surface of some water. This causes a ball to movevertically without moving horizontally as it floats upon the surface. At one instant, the ball is at theposition shown.2.4 m0.70 mballdirection ofwave travelNOT TOSCALEThe wave has a frequency of 0.20 Hz and an amplitude of 0.70 m. The distance between a troughand an adjacent peak is 2.4 m.What is the distance travelled by the ball in a time of 20 s?A 5.6 m B 9.6 m C 11.2 m D 19.2 m23 A sound wave travels from left to right across a room. The variation with distance across theroom of the displacement of the air molecules at one instant is shown.At which distance will the air pressure be lowest?displacementdistance from left-handend of roomrightleft0A B C D24 A source emits a sound wave of a single frequency. The Doppler effect causes a differentfrequency of sound to be heard by a stationary observer.What is a requirement for the Doppler effect to occur?A a source that is moving as it produces the sound waveB a source that produces a polarised sound waveC a source that produces a sound wave of changing amplitudeD a source that produces a sound wave of changing frequency

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Question 22: The distance travelled by the ball in a time of 20 s can be calculated by using the formula for wave speed, which is frequency times wavelength. The frequency is given as 0.20 Hz. The wavelength is twice the distance between a trough and an adjacent peak, which is 2.4 m, so the wavelength is 4.8 m. Therefore, the wave speed is 0.20 Hz * 4.8 m = 0.96 m/s. In 20 seconds, the ball would travel 0.96 m/s * 20 s = 19.2 m. So, the answer is D 19.2 m.

Question 23: The air pressure will be lowest where the displacement of the air molecules is greatest, because the air molecules are spread out the most at these points. This occurs at points B and D. Without more information, we cannot definitively choose between these two points.

Question 24: The Doppler effect occurs when a source of sound is moving relative to an observer. Therefore, the requirement for the Doppler effect to occur is A a source that is moving as it produces the sound wave.

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