A particle revolves in clock wise direction (as seen from point A) in a circle C of radius 1 cm and completes one revolution in 2 sec. The axis of the circle and the principal axis of the mirror M coincide. The radius of curvature of the mirror is 20cm. Then the speed of the image (as seen from A in cm/s) is
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Answer:
Given, u=−10 ;f=+10
From mirror formula,
v
1
+
u
1
=
f
1
v
1
+
10
−1
=
10
1
v=+5
magnification is −
u
v
=−
−10
5
=0.5
radius of image is 0.5×1=0.5cm
time period is 2 sec
T=
ω
2π
=2
ω=π
velocity=radius×ω=0.5×π=1.57
and the direction remains same as that of the object i.e, clockwise.
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