In a stationary wave represented by y 2acos
WebStationary Wave: When two waves of the same frequency and amplitude moving with the same speed in the opposite direction along with the same path, these types of waves are … WebA wave travelling positive x direction can be written as y1 =Acos (ωt−kx) where ω=2πf is the angular frequency of the wave, t is time, k= λ/ 2π is the wavenumber and x is position. The reflected wave of the same amplitude, travelling in the −x direction can then be written as y2 …
In a stationary wave represented by y 2acos
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WebA stationary wave is the result of the superposition of two waves with the same frequency travelling in opposite directions. It does not have a global speed, unlike progressive … WebStationary waves are formed when [NCERT 1983] A) Two waves of equal amplitude and equal frequency travel along the same path in opposite directions B) Two waves of equal wavelength and equal amplitude travel along the same path with equal speeds in …
WebEquations of two progressive waves at a certain point in a medium are given by y1 = a sin (ωt + φ1) and y2 = a sin (ωt + φ2). If amplitude and time period of resultant wave formed by the superposition of these two waves is same as that of both the waves, then. φ 1 – φ 2 is, (a) π/3 (b) 2π/3. (c) π/6 (d) π/4. WebSolution Verified by Toppr Correct option is B) The wave is: y=2Acos 2(kx−ωt)=2A×(1/2)×(cos2(kx−ωt))=A(1+cos2(kx−ωt))=A(1+ cos(2kx−2ωt)). Comparing …
WebAug 1, 2024 · Best answer Correct option: 1 - (a), 2 - (c), 3 - (d) Explanation: The equations are y1 = A cos (0.5 πx – 100 πt) and y2 = A cos (0.46 πx – 92 πt) represents two progressive wave travelling in the same direction with slight difference in the frequency. This will give the phenomenon of beats. WebWhat you have done is decomposed a standing wave into two travelling waves of equal amplitude, speed and frequency which are travelling in opposite directions. Your equation y = cos x sin x + cos 2 x sin 2 x has no time dependence and so can only represent a wave profile at some instant of time. It is like a photograph of a wave.
WebThe resulting wave is not traveling. It’s a stationary standing wave as shown in Figure 1 (see also Figures 7.1 and 7.2). It has fixed points which don’t move. These are called nodesof the wave function and they occur where sinkx= 0 and hence Ψ(x,t) is always zero. At any other point the string simply oscillates up and down. By superposing 2
WebJul 2, 2024 · In a stationary wave represented by Y =2 a \cos kx \sin \omega t Y = 2acoskxsinωt the intensity at a certain point is maximum when Haryana PMT - 2009 … psychological theory of learningWebIn a stationary wave represented by y = 2acos(kx)sin(ωt) the intensity at a certain point is maximum when 0 9 NTA Abhyas NTA Abhyas 2024 Report Error A cos(kx) is maximum B … hospitals to invest inWebIn a stationary wave represented by Y = 2acoskxsinωt the intensity at a certain point is maximum when 2536 79 Haryana PMT Haryana PMT 2009 Electromagnetic Waves … hospitals to volunteer near meWebCan the following functions for y possibly represent a travelling wave: (i) (x – vt) 2 (ii) log [ ( x + vt)/ x0 ] (iii) 1 / (x + vt ) Answer: No, the converse is not true because it is necessary for a wave function representing a travelling wave to have a finite value for all values of x and t. hospitals to give birthWebApr 8, 2024 · Given below are some functions of $x$ and $t$ to represent the displacement (transverse or longitudinal) of an elastic wave. State which of these represent (i) a traveling wave, (ii) a stationary wave or (iii) none at all: (a) $y = 2\cos (3x)\sin (10t)$ (b) $y = 2\sqrt {x - 13} $ (c) $y = 3\sin (5x - 0.5n) + 4\cos (5x - 0.5t)$ hospitals to donate toWebOct 5, 2024 · Stationary Wave Definition. A Stationary Waves are defined as a combination of two waves having equal amplitude and frequency but moving in opposite directions. A … psychological theory on birth orderWebApr 8, 2024 · The equation of a stationary wave is represented by\[y=4 \sin \left(\frac{\pi x}{6}\right)(\cos 20 \pi t)\]\( \mathrm{P} \)Wwhere \( x \) and \( y \) are in ... hospitals to go to without insurance