a convex mirror used in bus has radius of curvature 3.5. metre if the driver of bus locate a car at 10 metre behind the bus ,find the position, nature and size of the image of car.
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Radius of curvature also known as 2f is twice of focal length.
➵ f = ½ × C
➵ f = 3.5/2
➵ f = 35/20
➵ f = 7/4
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[NOTE : The rear view mirror is convex mirror]
Mirror Formula
➵ 1/f = 1/v + 1/u
➵ 1/(7/4) = 1/v + 1/(- 10)
➵ 4/7 + 1/10 = 1/v
➵ (40 + 7)/70 = 1/v
➵ 47/70 = 1/v
➵ v = 70/47 or + 1.5 m (approx)
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Size
➵ m = - v/u
➵ m = - 1.5/- 10
➵ m = + 0.15
Image is diminished.
Nature
➵ The image is virtual [Due to "+" sign in "m"]
Position
➵ 1.5 m behind mirror.
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