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Results tagged with waves
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user 282830
Waves are disturbances that propagate through space and time. Classically, they travelled through a medium, disturbing the particles but not changing their mean position. Electromagnetic waves/particle-waves need no medium; they are disturbances in their respective fields.
2
votes
Accepted
Relation between Displacement Amplitude and Intensity of Sound Waves
Sound wave velocity:
$$
v_s = \sqrt{\frac{B}{\rho}};\tag{1}
$$
where $\rho$ the mass density of medium, $B$ is the boulk modulous defined as ratio of pressure change $\Delta P$ with percentage change …
- 4,314
1
vote
Accepted
Reflection and transmission wave on three joined strings
For example, the transmission coefficient $T = |\frac{A_t}{A}|^2$, since
$$ \frac{A_t}{A} =\frac{e^{-ik_1L}}{\cos{k_2L}-i\left( \frac{k_1^2+k_2^2}{2k_1k_2} \right)\sin{k_2L}}$$
Multiply this with its …
- 4,314
0
votes
Single slit diffraction formula $a\sin\theta=m\lambda$ when $m=3$
The phase difference diffraction from the position $x$ of the slit onto the view angle $\theta$ is $ x\sin\theta$. Thus, the total amplitude of the diffraction wave:
$$
A(\theta) \propto \int_0^d e^ …
- 4,314
1
vote
Accepted
Plain progressive simple harmonic wave
A sinusoidal wave means that a sine wave profile has already established on the string. Probably, you are thinking about the initial stage of building up the wave by an oscillating drive in one end of …
- 4,314
2
votes
Accepted
Step-by-step resolution of the homogeneous $2^{nd}$ order differential equation of the wave
Your separation is not yet complete:
$$
\frac{\partial^2{f(x)g(t)}}{\partial x^2}=\frac{1}{v^2}\frac{\partial^2{f(x)g(t)}}{\partial t^2}
$$
where each side of the equation contains both $x$ and $t$.
O …
- 4,314
1
vote
Accepted
Single slit diffraction $a\sin\theta=m\lambda$ - why does $m$ have to be an integer?
Yes. You may divide the slit into 5 segments. Each segment has a $\lambda /2 $ optical path difference to the next segment, as shown in the following figure.
Thus, the contribution of segment A (to t …
- 4,314
1
vote
Waves interference in terms of fields and intensity
In wave mechanics, you have to use overlapping of fields not the intensity. This leads to all phenomena of interference and diffraction.
But for case of electromagnetic wave, the obsevations are ge …
- 4,314