In a car, a rearview mirror having a radius of curvature of 20 m forms a virtual image of a bus 5 m behind the mirror. What is the actual distance of the bus from the car?
Answers
Answered by
6
Answer:
If a bus is located at a distance of 5 m from this mirror, find the position of image. What is the nature of the image? Thus, the distance of the image 'v' is 1.15 m behind the mirror.
Answered by
0
Given: A rearview mirror having Radius of curvature 20 m forms virtual image of bus 5 m behind the mirror.
To find: Actual distance of bus from car
Explanation: A rearview mirror is always a convex mirror because of its property of making virtual, erect and magnified images.
Radius of curvature= 20 m
Focal length= Radius/2 = 20/2
= 10 m
Image distance(v) = 5 m ( since virtual erect image formed). Let object distance be u.
Now, using mirror formula:
1/f = 1/v+ 1/u
=> 1/u = 1/f - 1/v
= 1/10 - 1/5
= 1-2 / 10
= -1 /10
=> u = -10 m
Therefore, the actual distance from the bus to the car is 10 m.
Similar questions