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Q.

Two waves are travelling in same medium. Match equations of two waves given in column A with the corresponding phenomena in column B (all units in MKS system) . Take  tan1(34)=37°.

List-I

List-II

P)

y1=6sin(50πt0.05πx+π3) y2=8sin(50πt0.05πxπ6)

 

1)Beat frequency is 5 Hz
Q)

y1=5sin(50πt0.05πx+7π180) y2=5sin(50πt+0.05πx+7π180)

 

2)

Resultant wave in the medium is 

y=10sin(50πt0.05πx  +7π180)

R)

y1=7sin(80πt0.14πx) y2=9cos(70πt+0.14πx)

 

3)All the particles of the medium cross their mean positions at t = 0.005 s
S)

y1=4sin(150πt0.30πx) y2=4cos(150πt+0.30πx)

 

4)There is a node at  x=+10m
    

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a

P-1; Q-q; R-2; S-3

b

P-4; Q-2; R-3; S-1

c

P-3; Q-2; R-1; S-4

d

P-2; Q-4; R-1; S-3

answer is D.

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Analysis of wave equation. 

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