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A transverse harmonic wave on a string i...

A transverse harmonic wave on a string is described by `y(x, t)=3.0 sin (36t+0.018n +pi//4)`, where x and y are in cm an t in sec. The positive direction of x is from left to right.
(a) Is this a travelling wave or a stationary wave?
(b) What are its amplitude and frequency?

Text Solution

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The correct Answer is:
Travelling wave v = 20 m/s, v=5.73 Hz, A = 3 cm
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A transverse harmonic wave on a string is decribed by y(x,t) = 3.0 sin (36 t + 0.018x + pi//4) Where x and y are in cm and t in s . The positive direction of x is from left to right. (a) Is this a travelling wave or a stationary wave ? If it is travelling, what are the speed and direction of its propagation ? (b) What are its amplitude and frequency ? (c) What is the initial phase at the starting point ? What is the least distance between two successive crests in the wave ?

A transverse harmonic wave on a string is described by y(x,t)=3.0sin(36t+0.018x+pi//4) where x, y are in cm, t in second. The positive direction of x is from left to right . (i) Is this a travelling or stationary wave ? If travellying, what are the speed and direction of its propagation ? (ii) what are its amplitude and frequency ? (iii) what is the inital phase at the origing ? (iv) What is the least distance between two successive creests in the wave?

Knowledge Check

  • A transverse harmonic wave on a string is described by y(x,t)=3.0 sin (36t+0.018x +pi//4) , where x and y are in cm and t is in s. The positive direction of x is from left to right.

    A
    The wave is travelling from right to left.
    B
    The speed of the wave is `20m//s`
    C
    Frequency of the wave is 5.7 Hz
    D
    The least distance betweent two successive crests in the wave is 2.5cm

  • A transverse harmonic wave on a string is descrbed by y(x, t) = 3.0 sin (36 t + 0.018 x + pi/4) where x and y are in cm and t is in s. The position direction of x is from left to right.

    A
    The wave is travelling from right to left
    B
    The speed of the wave is 20 m/s
    C
    Frequency of the wave is 5.7 Hz.
    D
    The least distance between two successive creasts in the wave is 2.5 cm.

  • A transverse harmonic wave on a string is described by y(x,t)=3.0sin(36t+0.018x+(pi)/(4)) where x and y are in cm and 't' is in sec. The positive direction of 'x' is from left to right Which of the following are true (a) the wave is travelling from right to left (b) the speed of the wave is 20m//s (c ) frequency of the wave is 5.7Hz (d) the least distance between two successive crests in the wave is 2.5cm .

    A
    `a,b`
    B
    `a,b,c`
    C
    `c,d`
    D
    `a,c,d`

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