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A string vibrates according to the equation y=5sin2πx3  cos20πt, where x and y are in cm and t in sec. The distance between two adjacent nodes is 

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a
3 cm
b
4.5 cm
c
6 cm
d
1.5 cm

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detailed solution

Correct option is D

y=5sin 2πx3cos20 π t,  comparing with equation y=2asin2πxλcos2πvtλ⇒λ=3, distance between two adjacent nodes =λ/2=1.5cm.


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