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A particle moves in a circular path of radius 5cm in a plane perpendicular to the principle axis of a convex mirror with radius of curvature 20cm.The object is 15cm in front of the mirror. Calculate the radius of the circular path of the image

A particle moves in a circular path of radius 5cm in a plane perpendicular to the principle axis of a convex mirror with radius of curvature 20cm.The object is 15cm in front of the mirror. Calculate the radius of the circular path of the image

Grade:12

1 Answers

Ravi
15 Points
one month ago
given ,
the particle is rotating circle motion in plane perpendicular to principal axis at a distance of 15cm
means particle is at a constant height of 5cm 
in convex mirror:
\frac{1}{f}=\frac{1}{u}+\frac{1}{v}
f=+10  , u= -15
by using above formula v=6
height of object=5cm
height of image
\Rightarrow \tfrac{h(image)}{h(object)}= -\frac{v}{u}
by using above formula:
h(image)=2
this height of image is the radius of circular path of image=2

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