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Which of the following functions represe...

Which of the following functions represent a stationary wave ? Here `a , b` and `c` are constants:

A

`y = a cos (bx) sin ( ct)`

B

`y = a sin (bx) cos ( ct)`

C

`y = a sin (bx + ct)`

D

`y = a sin ( bx + ct ) + a sin ( bx - ct)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
A stationary wave is characterized by a function of type ` y = f(t) g(x)`. Hence , choices `(a)` and `(b)` represent a stationary wave . Choice `(d)` is superposition of two oppositely travelling waves of the same amplitude and same frequency , which gives rise to a stationary wave. Hence choice `(d)` also represents a stationary wave.
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Knowledge Check

  • Which of the following functions represents SHM

    A
    `sin 2 omegat`
    B
    `sin^(2)omegat`
    C
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    D
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  • Which of the following function represent SHM ?

    A
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    B
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    C
    ` sin omegat + 2 cos omegat`
    D
    ` sin omegat + cos 2omegat`

  • Which of the following equations represents a wave

    A
    `Y=A(omega t-kx)`
    B
    `Y= A cos kx`
    C
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    D
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