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Schrodinger Equation

Which of the ...

Question

Which of the following waves will pair up to produce stationary wave?

Z_{1} = A c o s (k x - ω)

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Z_{2} = A c o s (k x + ω)

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Z_{3} = 2 A c o s (k x - ω)

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Z_{4} = A c o s (k x + 2 ω)

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Solution

The correct options are
A $Z_{1} = A c o s (k x - ω)$
B $Z_{2} = A c o s (k x + ω)$
The waves must be travelling in opposite direction and have same amplitude and same frequency.

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Similar questions

A wave represented by the given equation y = a cos ( kx - $ω$ t ) is superposed

with another wave to form a stationary wave such that the point x = 0 is a

node. The equation for the other wave is

AIIMS 1998; SCRA 1998; MP PET 2001; KCET 2001;

AIEEE 2002; UPSEAT 2004]

y_{1} = A sin (k x - ω t)

y_{2} = A cos (k x - ω t)

y = A cos (k x - ω t)

x = 0

z_{1}, z_{2}

z_{3}

z_{1} = A sin (k x - ω t), z_{2} = A sin (k x + ω t)

z_{3} = A sin (k y - ω t)

z_{1} + z_{2} + z_{3} = A, z_{1} + z_{2} ω + z_{3} ω^{2} = B, z_{1} + z_{2} ω^{2} + z_{3} ω = C

z_{1}, z_{2}, z_{3}

A, B, C, ω

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