KVPY SA Exam 19-Nov-2017 Question Paper

Question : 26 of 80

Marks: +1, -0

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 time t = 0, the cars are farthest apart. Then, the two cars will be

closest to each other at t = 12 min and farthest at t = 18 min.
closest to each other at t = 3 min and farthest at t = 24 min
closest to each other at t = 6 min and farthest at t = 12 min
colsest to each other at t = 12 min and farthest at t = 24 min

Validate

Solution:

ω_1{2π}/3

ω_2={2π}/24

time for meet (closest) =

{π(2π+1)}/{ω_1+ω^2}⇒4/3(2n+1)

t⇒4/3\sec,4,20/3,28/3,12

time of farthest ⇒

{2πn}/{ω_1+ω_2}

t≠2n\/4/3

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