Waves Vibrations and Oscillations

The velocity of a wave can be calculated by multiplying the wavelength with the frequency. In this case, the velocity would be 0.03 (wavelength) x 120 (frequency) = 3.6 m/s.

The term for the distance between two crests of a water wave is called the wavelength.

The seven types of electromagnetic waves, in order of increasing frequency, are radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays. Each type of wave has a unique wavelength and frequency, with radio waves having the longest wavelength and lowest frequency, while gamma rays have the shortest wavelength and highest frequency.

This phenomenon occurs because the boats create obstacles that force the waves to bend and follow the contours of their shape. As the waves encounter the boats, they diffract around them, leading to the waves traveling around the edges of the boats rather than simply passing through them.

If the velocity and frequency of the wave are both reduced to one half, the wavelength of the wave remains unchanged. The wavelength of a wave is determined by the velocity and frequency, so if both are reduced by the same factor, the wavelength will remain constant.

The wavelength of a wave can be calculated using the formula λ = c/f, where λ is the wavelength, c is the speed of light (approximately 3 x 10^8 m/s), and f is the frequency. For an infrared wave with a frequency of 3 x 10^12 Hz, the wavelength would be approximately 0.1 micrometers.

Waves with higher frequencies have shorter wavelengths because the speed of the waves remains constant, but the number of wave cycles passing a point per unit time increases with higher frequency. This results in the waves being packed closer together, leading to shorter wavelengths.

As a wave enters shallow water, the wavelength decreases while the wave height increases. This happens because the wave encounters the ocean floor, causing the wave to slow down and compress, resulting in a shorter wavelength and higher wave height.

The wave speed can be calculated using the formula: wave speed = frequency x wavelength. Plugging in the values given, the wave speed would be 20 Hz x 2.5 m = 50 m/s.

Amplitude and speed are not directly related. Amplitude refers to the maximum displacement of a wave from its rest position, while speed refers to how fast a wave travels through a medium. However, in some cases, a higher amplitude wave may have a greater speed due to the energy it carries.

Mechanical waves, such as sound waves and water waves, require a medium in order to propagate. These waves travel by transferring energy from one part of the medium to another. Electromagnetic waves, on the other hand, can propagate through a vacuum as they do not require a medium.

Actually, when a wave changes speed as it enters a new medium at an angle, it undergoes refraction, not diffraction. Diffraction refers to the bending of waves around obstacles or through openings. Refraction involves the change in direction of a wave as it crosses from one medium to another with different densities.

No, longitudinal waves are compression waves that travel through the ground by causing particles to move parallel to the direction of the wave propagation. Transverse waves, on the other hand, cause particles to move perpendicular to the direction of the wave propagation.

The energy of a wave is directly proportional to its frequency, given that the amplitude remains constant. This relationship is a consequence of the wave's energy being distributed across more wave cycles per unit time at higher frequencies. Consequently, higher frequency waves carry more energy per unit time compared to lower frequency waves with the same amplitude.

Increasing the mass of the guitar string by wrapping a second wire around it will decrease the frequency of the fundamental standing wave because the wave speed remains constant. The wavelength of the standing wave will be longer due to the decrease in frequency.

When the amplitudes of the transmitted and reflected waves are equal, it means that half of the incident wave energy is being transmitted and half is being reflected at the interface between the two media. This occurs at the Brewster angle when the reflected wave is completely polarized perpendicular to the plane of incidence.

The speed of a wave on a cord is calculated as the product of its wavelength and frequency. The formula is v = λ * f, where v is the wave speed, λ is the wavelength, and f is the frequency. Given a wavelength of 4 m and a period of 0.5 s (which equals a frequency of 1/0.5 = 2 Hz), the speed of the wave would be v = 4 m * 2 Hz = 8 m/s.

All light travels in the speed of light in vacuum, that is 300,000 km/sec. The relevant formula is C = f*lambda, where C is the speed of light, f is the frequency and lambda the wavelength. Therfore, f = C/lambda. Here lambda = 632.8nm, so f = 4.741E14 or 474 terahertz.

The color of this light, incidentally, is red. Please see the links. They are beautiful, anyway.

The speed of a wave is determined by the equation: speed = frequency x wavelength. Without the frequency, it is not possible to calculate the wave's speed using only the wavelength provided.

D. All of the above. Solids, liquids, and gases can all act as media for propagating waves, with different wave speeds and behaviors depending on the medium.

As the pendulum swings, the total energy (kinetic + potential) remains constant if we ignore friction. The maximum total energy of the pendulum is determined by the initial conditions such as the height from which it is released and the velocity. The higher the release point and the greater the initial velocity, the higher the maximum total energy of the pendulum.

An obstruction to waves can be any physical barrier that inhibits the movement of the wave, causing the wave to reflect, diffract, or refract. Common obstructions include walls, barriers, rocks, and any material that blocks the path of the wave. These obstructions can alter the direction, speed, or amplitude of the wave.

The phase angle in a wave equation can be found by comparing the equation to a standard form, such as (y = A \sin(\omega t + \phi)), where (\phi) is the phase angle. This angle represents the horizontal shift of the wave relative to a standard sine curve. You can determine the phase angle by comparing the equation to the standard form and identifying the value that corresponds to the horizontal shift in the wave.

The stretched out parts in longitudinal waves are called rarefactions. These are regions where the particles of the medium are spread out, creating a lower pressure area compared to the surrounding compressed regions known as compressions.

Water waves are a form of mechanical energy, specifically a type of kinetic energy resulting from the movement of water particles.