Question

In a stationary wave represented by
y = 2a cos kx.sinwt the intensity at certain point is
maximum when
a. coskx is maximum
b. coskx is minimum
C. sinwt is maximum
d. sinwt is minimum​

Answer 1

Answer:

a

Explanation:

Intensity will be maximum when amplitude is maximum . Amplitude here is 2a cos kx , so it will be maximum when cos kx is maximum .

Answer 2

answer : option (a) coskx is maximum

A stationary wave is the superposition of two progressive waves of same amplitude and angular frequency but motion in different directions.

here given waves y = 2acoskx sinωt is the superposition of y = asin(ωt - kx) and asin(ωt + kx).

let's come to the point,

intensity is directly proportional to square of amplitude.

and amplitude of given stationary wave is 2acoskx [i.e., variable]

so, intensity ∝ (2acoskx)²

⇒intensity ∝ 4a²cos²kx

it is clear that intensity will be maximum only when cos²kx is maximum.

we know, maximum value of cosine² = maximum value of cosine

so, intensity will be maximum only when coskx is maximum.

hence option (a) is correct choice.

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