Mechanical and Sound Waves Quiz

While playing at the beach, AZREE noticed a sinusoidal wave with an amplitude of 15m propagating towards the left with a wave number of 0.04 radian per meter. What is the wavelength of this wave?

• 15π m

• 75π m

• 150π m

• 50 m

AZREE is observing a sinusoidal wave with a frequency of 2 Hz traveling to the right with a wave number of 0.1 radian per meter. What is the wavelength of this wave?

• 10 m

• 20 m

• 30 m

• 40 m

YUM is observing waves in a lake caused by a boat moving across the water. The wave equation is given by y=0.5 sin(6πt+ 8x) where y and x are in m and t is in seconds. Determine the speed of the wave.

• 0.25π ms^-1

• 25 ms^-1

• 25π ms^-1

• 2.5π ms^-1

MIN is observing a wave traveling in a medium, described by the equation y=0.3 sin(4πt + 6x). Calculate the velocity of this wave.

• 0.2π ms^-1

• 12 ms^-1

• 12π ms^-1

• 1.5π ms^-1

During a science experiment, SYA.MIRA observed a sound wave traveling through air at a speed of 340 ms^-1 with a wavelength of 0.85 m. She wants to determine the frequency of the sound wave.

• 400 Hz

• 300 Hz

• 250 Hz

• 200 Hz

YUM and KIMI are observing a plane progressive wave created by disturbances in a pond. The wave travels at a speed of 6 ms^-1 and the distance between troughs is 2 m. Calculate the frequency of the wave.

• 313 Hz

• 13 Hz

• 3 Hz

• 30 Hz

Kimi is observing a progressive wave in a physics experiment. The wave can be described by the wave function y = 0.5 sin( 0.2πt – 0.04x) where x and y are in m and t is in seconds. Calculate the displacement of the vibrational particle when t = 2s at x = 0.

• y = 0.416 m

• y = 476 m

• y = 4.76 m

• y = 0.476 m

AZREE is observing a progressive wave in a physics experiment, represented by the wave function y = 0.3 sin( 0.5πt – 0.1x) where x and y are in meters and t is in seconds. Determine the displacement of the vibrational particle when t = 4s at x = 0.

• y = 0.3 m

• y = 0.6 m

• y = 0.9 m

• y = 0.15 m

MIN and YUM are experimenting with a string fixed at both ends on a rigid support. They discover that the frequency of the 3rd harmonic is 150 Hz and the length of the string is 30 cm. Can you sketch the standing wave pattern in the string for the third harmonic and determine the speed of the wave?

Kimi and Azree are experimenting with a musical instrument that is designed like a pipe with both ends open. They find that the length L of the pipe is 50 cm and the velocity of sound waves in air is 343.0 m s−1. Can you help them determine the harmonic frequency of the standing wave produced in the pipe and the subsequent harmonic frequencies for the sound wave?