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Class 12 Tuition > Learn Class XI-XII Tuition (PUC) > explain stationary waves?
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explain stationary waves?

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There are levels at which this can be taught. Literally, Stationary Wave is a wave that SEEMS to be still, or oscillating in a fixed region. This may happen for two reasons - First, is evident in case of rope vibrating at resonance or frequencies, multiple to the resonance frequency. Second, can be when...
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There are levels at which this can be taught. Literally, Stationary Wave is a wave that SEEMS to be still, or oscillating in a fixed region. This may happen for two reasons - First, is evident in case of rope vibrating at resonance or frequencies, multiple to the resonance frequency. Second, can be when the medium over which the wave exists is moving in opposite direction to the wave. So wrt the observer, the wave seems still, but it is actually moving wrt the medium/substrate/base. This discussion can then go in further detail. read less
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Let us take 2 harmonic waves. y= Asin (kx+wt) y'=Asin(kx-wt) here A is the amplitude which is same for both. w is the frequency which too is same for both. k is the wave number which is numerically = 2pi/lambda. where lambda is the wavelength. let us add these two waves. y+y'. using trigonometry...
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Let us take 2 harmonic waves. y= Asin (kx+wt) y'=Asin(kx-wt) here A is the amplitude which is same for both. w is the frequency which too is same for both. k is the wave number which is numerically = 2pi/lambda. where lambda is the wavelength. let us add these two waves. y+y'. using trigonometry identity sin X + sin Z= 2 sin ((X+Z)/2) cos ((X-Z)/2)... we get y+y'=2Asin(kx)cos(wt). From here it is clear that at specific values of x the wave amplitude takes specific values. for eg:_ at x= multiples of half wavelength the amplitude would be zero...these points are called as nodes. whereas at odd multiples of quarter wavelengths the amplitude is maximum. Thus these waves are not static but stationary in space but oscillate in time. These are called as standing waves. read less
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Stationary or standing waves are formed in a medium when two waves having equal amplitude and frequency moving in opposite directions along the same line, interfere in a confined space. Generally, such waves are formed by the superposition of a forward wave and the reflected wave. Both longitudinal and...
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Stationary or standing waves are formed in a medium when two waves having equal amplitude and frequency moving in opposite directions along the same line, interfere in a confined space. Generally, such waves are formed by the superposition of a forward wave and the reflected wave. Both longitudinal and transverse types of waves can form a stationary wave. When reflection occurs at a free end, there is no reversal of phase. i.e., a crest returns as a crest and a trough as a trough. Example, 1) A rope held vertically in the hand with the lower end hanging free, made to vibrate briskly at the upper end 2) An open end of an organ pipe into which air is blown When reflection occurs at a fixed end, there is a reversal of phase but there is no change in amplitude, frequency and velocity. i.e., a crest returns as a trough and a trough as a crest. Example, 1) A guitar string plucked in the middle. 2) A closed end of an organ pipe, into which air is blown. read less
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stationary wave is the combination of two waves moving in opposite directions, each having the same amplitude and frequency.
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"A standing wave -- also known as a stationary wave -- is a wave that remains in a constant position. Two opposing waves combine to form a standing wave. This phenomenon can occur because the medium is moving in the opposite direction to the wave, or it can arise in a stationary medium as a result...
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"A standing wave – also known as a stationary wave – is a wave that remains in a constant position. Two opposing waves combine to form a standing wave. This phenomenon can occur because the medium is moving in the opposite direction to the wave, or it can arise in a stationary medium as a result of interference between two waves traveling in opposite directions. In the second case, for waves of equal amplitude traveling in opposing directions, there is on average no net propagation of energy." (source:wiki) read less
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When the wave, the vibrations to be specific, is in y- direction only, and not moving in x- direction. The nodes don't move, by definition, and only wave( the sine curve) moves up and down with no horizontal movement of the whole wave. See lecture 26 by Prof. Walter lewin, electricity and magnetism,...
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When the wave, the vibrations to be specific, is in y- direction only, and not moving in x- direction. The nodes don't move, by definition, and only wave( the sine curve) moves up and down with no horizontal movement of the whole wave. See lecture 26 by Prof. Walter lewin, electricity and magnetism, MIT open course ware. Good luck. read less
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It is phenomena of superposition of two travelling waves moving in opposite direction and having same frequency and amplitude. For unequal amplitude partially stationary waves are formed.
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This phenomenon can occur because the medium is moving in the opposite direction to the wave, or it can arise in a stationary medium as a result of interference between two waves traveling in opposite directions.
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This phenomenon can occur because the medium is moving in the opposite direction to the wave, or it can arise in a stationary medium as a result of interference between two waves traveling in opposite directions. In the second case, for waves of equal amplitude traveling in opposing directions,...
read more
This phenomenon can occur because the medium is moving in the opposite direction to the wave, or it can arise in a stationary medium as a result of interference between two waves traveling in opposite directions. In the second case, for waves of equal amplitude traveling in opposing directions, there is on average no net propagation of energy. read less
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