Solve this: A travelling wave in a string is represented by y = 3 sin π2tπ4x The phase difference - Physics - Waves

Question

Solve this:
A travelling wave in a string is represented by y = 3 sin π 2
t π 4 x The phase difference between two particles separated
by a distance 4cm is (take x and y in cm and t in seconds )
( 1 )   π 2 r a d          
                 
          ( 2 )   π 4 r a d ( 3
)   π   r a d          
                 
            ( 4 )   0

Anshu Agrawal · Accepted Answer

Dear student,

The equation of the string is given byy=Asin(kx-ωt)Phase difference ∆φ=2πλ∆xFrom the equation k=2πλ=π4so Phase difference ∆φ=π4×4(given in the question)Phase difference ∆φ=π rad
Option 3 is correct
Regards

Solve this: A travelling wave in a string is represented by y = 3 sin π 2 t π 4 x . The phase difference between two particles separated by a distance 4cm is (take x and y in cm and t in seconds ) ( 1 ) π 2 r a d ( 2 ) π 4 r a d ( 3 ) π r a d ( 4 ) 0

Solve this:
A travelling wave in a string is represented by y = 3 sin $(\frac{π}{2} t \frac{π}{4} x)$ . The phase difference between two particles separated by a distance 4cm is (take x and y in cm and t in seconds )
$(1) \frac{π}{2} r a d (2) \frac{π}{4} r a d (3) π r a d (4) 0$