Question
Asked Feb 11, 2020
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A convex mirror used for rear-view on an automobile has a radius of curvature of 3.00 m. If a bus is located at 5.00 m from this mirror, find the position, nature and size of the image.

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Expert Answer

Step 1

Physics homework question answer, step 1, image 1

Where,

R = Radius of curvature

v = image distance from mirror

u = object distance from mirror

f= focal length

The sign convention used in this problem is shown as,

Physics homework question answer, step 1, image 2

 

The radius of curvature the mirror is 3 m and object distance is 5 m from the mirror.

 Let, the height of the object is X m.

We have to find the distance of image, nature of image and height of an image.

 

Step 2

First, we will find out the position of the image.

The distance of the object is taken as negative.

u = -5 m

R = 3 m

Physics homework question answer, step 2, image 1

The sign of the image distance is positive it means that the image is formed behind the mirror.

Hence, the nature of the image is virtual.

 

 

Step 3

Now, we will find the height of the image.

We assumed that the height of the object is X m.

Physics homework question answer, step 3, image 1

The nature of the image is diminished.

The sign of the height of the image is the same as the height of the object.

So, the nature of the image is erect.

 

...

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