Q.

The vibrations of a string fixed at both ends are represented by y = 16 sinπx15Cos96πt where x and y are in cm and t in seconds.  Then the phase difference between the points at x = 13 cm and x = 16 cm in radian is    

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a

π5

b

0

c

π

d

2π/5

answer is B.

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Detailed Solution

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for nodes, sinπx15=0 
πx15=0,π,2π,3π,..........
x=0,15,30,45,……
No. of nodes between 13cm to 16cm 
is “1 at 15cm”.
Phase difference ϕ==π  

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