The equation of a stationary wave is y=0.8cos (πx20)sin200πt, where x is in cm and t is in seconds. The separation between a successive node and antinode will be
A
20cm
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B
10cm
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C
40cm
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D
30cm
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Solution
The correct option is B10cm For the stationary wave given by equation, y=0.8cos(πx20)sin(200πt) Comparing it with, y=2A cos kx sin ωt We get, k=π20&ω=200π Wavelength of constituent waves is: λ=2πk=2π(π20)=40cm The distance between a node & consecutive antinode is Δx=λ4=404=10cm