Water waves are called deep-water waves when the depth of the water is much greater than the wavelength of the wave. The speed of deep-water waves depends on the wavelength as follows: v = √gλ/2πSuppose you are on a ship at rest in the ocean, observing the crests of a passing sinusoidal wave. You estimate that the crests are 75 m apart. In the deep ocean, a longer-wavelength wave travels faster than a shorter-wavelength wave. Thus, a higher-frequency wave travels ______ a lower-frequency wave.A. Faster thanB. At the same speed asC. Slower than
Properties of sound
A sound wave is a mechanical wave (or mechanical vibration) that transit through media such as gas (air), liquid (water), and solid (wood).
Quality Of Sound
A sound or a sound wave is defined as the energy produced due to the vibrations of particles in a medium. When any medium produces a disturbance or vibrations, it causes a movement in the air particles which produces sound waves. Molecules in the air vibrate about a certain average position and create compressions and rarefactions. This is called pitch which is defined as the frequency of sound. The frequency is defined as the number of oscillations in pressure per second.
Categories of Sound Wave
People perceive sound in different ways, like a medico student takes sound as vibration produced by objects reaching the human eardrum. A physicist perceives sound as vibration produced by an object, which produces disturbances in nearby air molecules that travel further. Both of them describe it as vibration generated by an object, the difference is one talks about how it is received and other deals with how it travels and propagates across various mediums.
Water waves are called deep-water waves when the depth of the water is much greater than the wavelength of the wave. The speed of deep-water waves depends on the wavelength as follows:
v = √gλ/2π
Suppose you are on a ship at rest in the ocean, observing the crests of a passing sinusoidal wave. You estimate that the crests are 75 m apart.
In the deep ocean, a longer-wavelength wave travels faster than a shorter-wavelength wave. Thus, a higher-frequency wave travels ______ a lower-frequency wave.
A. Faster than
B. At the same speed as
C. Slower than
Speed of water waves is given by the relation,
(1)
So, speed is directly proportional to the wavelength of the wave. So, longer wavelength-wave travels faster than a shore-wavelength wave.
Now, frequency, f, is inversely proportional to wavelength. Hence, higher-frequency wave travels faster than a lowe4r-frequency wave.
Step by step
Solved in 2 steps