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Q.

Two particles  move on a circular path (one just inside and the other just outside) with angular velocities ω  and  5  ω starting from the same point 

    
p) If angular velocities are in the same sense, they cross each otherat regular intervals of time=1) π3ω
q) If angular velocities are oppositely directed, they cross each other           at regular intervals of time=   2) π2ω
r) If angular velocities are in the same sense, they cross each other              at points on the path subtending an angle of ____at centre 3) 600
s) If angular velocities are in the opposite sense, they cross each other         at points on the path subtending an angle of ____ at centre4) 900

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a

p-2,q-1,r-4,s-3     

b

p-3,q-1,r-4,s-2     

c

p-2,q-4,r-1,s-3     

d

p-2,q-1,r-3,s-4

answer is A.

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Detailed Solution

They meet at intervals of time =    2πωrel                                                                  

 when they are in the same sense    t=2π4ω                                                                                   when they are in the opposite  sense    t=2π6ω    
Angle subtended at the centre by the crossing points  θ=ωt
 

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