KVPY2017PhysicsOscillations
Two cars S ₁ and S ₂ are moving in coplanar concentric circular tracks in the opposite sense with the periods of revolution 3 min and 24 min, respectively. At timet =0 , the cars are farthest apart. Then, the two cars will be
Options
- Aclosest to each other at t =12 ~min and farthest at t =18 ~min .
- Bclosest to each other at t=3 min and farthest at t=24 min
- Cclosest to each other at t=6 min and farthest at t=12 ~min ,
- Dcol sest to each other at t =12 ~min and farthest at t =24 ~min
Correct answer
D. col sest to each other at t =12 ~min and farthest at t =24 ~min
Step-by-step solution
₁= 2 3 ₂= 2 24 time for meet (closest) = (2 +1) ₁+ ₂ 4 3 (2 n+1) t 4 3 , 4, 20 3 , 28 3 , 12 time of farthest 2 n ₁+ ₂ t 2 n / 4 3