a truck uses a convex mirror as a viewfinder whose radius of curvature is 2.0m. A Maruti car is coming behind the truck at a distance of 10 m. what will be the position of the image of the car and the size of the image of the car when observed by the driver of the truck through the convex mirror
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the position will be behind the convex mirror and the image will be virtual and erect and highly enlarged
mibrahim153:
pls can you prove it mathematically
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Radius(R)=2m
focal length(f) = R/2= 1m
applying mirror formula
1/v+1/u=1/f
1/v - 1/10 = 1/1
1/v= 1+1/10 = 11/10
v = 10/11m
position of the image will be 10/11 m in the mirror
magnification(M) = v/u = (10/11) / (-10) = -1/11
:. Size of image= M*u = -10*(-1/11) = 10/11m
Hope this helps :)
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