Equation of a stationary wave is given by

y = A sin (k x - ω t)

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y = 2 A sin k x . cos ω t)

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y = A cos 2 π (k x - t / T)

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y = A cos (2 π t / I)

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Solution

The correct option is B $y = 2 A sin k x . cos ω t)$
In $y = 2 A sin k x cos w t$
amplitude $2 A sin k x$ is changing with $x$ so, it is the equation of stationary wave.
In rest of the equation amplitude is $A$ which is fixed so, these are equation of travelling waves.

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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]

Which of the following two wave equations can form stationary wave?

(i) $Y = A s i n (ω t - k x)$

(ii) $Y = A c o s (ω t - k x)$

(iii) $Y = A s i n (ω t + k x)$

(iv) $Y = A c o s (ω t + k x)$

y = A s i n (k x - ω t)

y

y = f (x, t)

y = A sin (k x - ω t)

x = 0

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