Question

a truck uses a convex mirror as view finder whose radius of curvature is 2 m .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 when observed by the driver of the truck through the convex mirror

Answer 1

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

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Answer 2

u= -10

r=2m

W.k.t.

r=2f

f=1m

By lens formula

1/v=1/f+1/u

1/v=1-1/10

1/v=9/10

v=10/9=1.11

Image is real and inverted