A concave mirror for rear view of an automobile has a radius of curvature at 3 meter if a bus isl ocated at 5 meter from their mirror find the position nature and size of the image
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Answer:
Given,
C = -3 m , i.e., f = -3/2 = -1.5 m
u = -5 m
v = ?
Here, in concave mirror 'u', 'v' and 'f' will be in negative '-' sign.
Explanation:
We know that,
1/v + 1/u = 1/f
=> 1/v + 1/-5 = 1/-1.5
=> 1/v - 1/5 = 1/-1.5
=> 1/v = 1/-1.5 + 1/5 [doing LCM of 1.5 and 5, we get: LCM=1.5]
=> 1/v = (-1.5 + 0.3) /1.5
=> 1/v = -1.2/1.5 [diving 1.5 by -1.2, we get: 1.25]
=> 1/v = -1.25
Therefore, v = -1.25 m
Hence, the position of the bus is -1.25 m and nature of the image is virtual and erect.
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