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Q.

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

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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

Standard equationy=A cos 2πxλ sin 2πvtλBy comparing this equation with given equation.2πxλ=πx20      ⇒   λ=40 cmDistance between two nodes = λ/2 = 20 cm
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