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KVPY SA Exam 19-Nov-2017 Question Paper
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© examsnet.com
Question : 26
Total: 80
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
2
π
3
ω
2
=
2
π
24
time for meet (closest) =
π
(
2
π
+
1
)
ω
1
+
ω
2
⇒
4
3
(
2
n
+
1
)
t
⇒
4
3
sec
,
4
,
20
3
,
28
3
,
12
time of farthest ⇒
2
π
n
ω
1
+
ω
2
t
≠
2
n
∕
4
3
© examsnet.com
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