A string vibrates according to the equation y=5sin 2πx3 cos 20 πt, where x and y are in cm and t in sec. The distance between two adjacent nodes is
3 cm
4.5 cm
6 cm
1.5 cm
y=5sin 2πx3cos20 π t, comparing with equation y=2asin2πxλcos2πvtλ⇒λ=3, distance between two adjacent nodes =λ/2=1.5cm.