The equation of a stationary wave is y = 0.8 cos πx20sin 200 πt where x is in cm and t is in s. The separation between consecutive nodes will be 

The equation of a stationary wave is y = 0.8 cos πx20sin 200 πt where x is in cm and t is in s. The separation between consecutive nodes will be 

  1. A

    20 cm

  2. B

    10 cm 

  3. C

    40 cm  

  4. D

    30 cm

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    Solution:

    Standard equation
    y=A cos 2πxλ sin 2πvtλ
    By comparing this equation with given equation.
    2πxλ=πx20         λ=40 cm
    Distance between two nodes = λ/2 = 20 cm

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