JEE (Advanced) 2012 Paper-2 Question 7

Question 7

Two identical discs of same radius R are rotating about their axes in opposite directions with the same constant angular speed $$\omega$$. The disc are in the same horizontal plane. At time t = 0 , the points P and Q are facing each other as shown in the figure. The relative speed between the two points P and Q is $$v_r$$. as function of times best represented by

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