Physics Waves

In Physics, we need to know that the phase angle tells us the position of a point within one cycle of a wave. That is measured in radians. It tells you how much a wave is ahead or, behind the other. On the other hand, the initial phase (or phase constant) is the phase angle at time t=0. It tells us where the wave begins with its oscillation cycle.

The speed of a transverse wave depends on the intrinsic properties of the medium it propagates through. These could be elastic and inertial properties. For a transverse wave on a string, we need to know factors such as tension (a common force) in the string, and its linear mass density. 

Transverse waves can travel through solids or any medium that can withstand shearing strain. Fluids, including liquids and gases, cannot sustain shear force, so such types of mechanical waves cannot travel through them. 

Longitudinal waves can travel through all elastic media that can sustain compressive strain. That means, these mechanical waves can travel through solids, liquids, and gases.  

Sound waves and water waves are mechanical waves, which always require a medium to travel. Light, however, does not require a medium to propagate, as it is electromagnetic.  Light can travel through vacuum, while sound and water waves cannot travel through vacuum.   

$\mu =9*10^{-4}kg/m$

T = 900 N

$f_0=500Hz\to$ resonance frequency

$f_0^{\text{'}}=550Hz\to$ Next higher frequency

$v=\sqrt[]{\frac{T}{\mu }}=\sqrt[]{\frac{900N}{9*10^{-4}}}=1000m/s$

$\therefore 500Hz=\frac{10*1000}{2*\mathcal{l}}$

$\mathcal{l}=10m$

$f^1=f_0*\left[\frac{340+20}{340-10}\right]=1320$

=> f₀ = 1210 Hz

A beat wave arises due to constructive and destructive interference between two sound waves. These two frequencies have nearly equal frequencies but never the same. The resulting amplitude envelope oscillates at the beat frequency.  

Beats form when two harmonic waves of nearly equal frequencies and identical amplitudes travel in the same direction, whic allows the superposition of waves. 

Beat frequency is the rate of amplitude modulation we hear when two wave frequencies, f1 and f2 interfere. It's given by |f1-f2|. It represents how fast the loudness oscillates over time.