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The equation of a stationary wave is y=0.8cos πx20sin200 πt, where x is in cm and t is in sec. The separation between consecutive nodes will be

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a

20 cm

b

10 cm

c

40 cm

d

30 cm

answer is A.

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Detailed Solution

On comparing the given equation with standard equation y=2a sin2πxλ cos 2πvtλ]We get 2πλ=π20⇒λ=40Separation between two consecutive nodes = λ2=402=20 cm

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The equation of a stationary wave is y=0.8cos πx20sin200 πt, where x is in cm and t is in sec. The separation between consecutive nodes will be