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JEE Advanced Model Paper 7 with solutions for online practice
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© examsnet.com
Question : 5
Total: 66
plane mirror is placed in the y-z plane, a point object ‘A’ is moving in a circular path ofradius 3m and centre (4m, 3m, 0m) in x-y plane, with variable angular velocity given byω = t (rad/sec) . At t = 0 the particle is at the position shown in fig.
At time
√
5
π
, the relative velocity of the object with respect to the image will be zero forthe third time
At time
√
π
, the relative velocity of the object with respect to the image will be zero for thethird time
The line joining object and image is always perpendicular to the mirror
The line joining object and image is perpendicular to the mirror at time n
√
n
only. (wheren is integer).
Validate
Solution:
Relative velocity of object w.r.t image will be zero for the 3rd time when particle reaches Bin 2nd rotation
⇒
(
2
π
+
π
2
)
=
1
2
(
1
)
t
2
∴ t =
√
5
π
sec
© examsnet.com
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