Question

A standing wave y = Asin(20/3πx)cos(1000πt) is maintained in a taut string where y and x are expressed in meters. The distance between the successive points oscillating with the amplitude A/2 across a node is equal to 

(a) 2.5 cm 

(b) 25 cm 

(c) 5 cm 

(d) 10 cm

Answer 1

The correct option (c) 5 cm

Explanation:

 To find req. Distance we have to find the distance of point have amplitude A/2 from the node and double of it will be required distance Asin(--)=A/220/3pix=pi/6x=2.5cm 

Required distance=2x=2*2.5=5cm