an object of size 5cm is placed in front of convex mirror of focal length 20cm at a distance of 20cm in front of its reflective surface. fine the position , nature and size of the image of class 10 ncert
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Answers
Given :
In convex mirror,
Height of object : 5 cm.
Focal length : 20 cm.
Object distance : 20 cm.
To find :
The position, nature and the size of the image.
Solution :
Using mirror formula that is,
» A formula which gives the relationship between image distance, object distance and focal length of a sperical mirror is known as the mirror formula .i.e.,
where,
- v denotes Image distance
- u denotes object distance
- f denotes focal length
By substituting all the given values in the formula,
Thus, the position of the image is 10 cm.
We know that,
» The linear magnification produced by a mirror is equal to the ratio of the image distance to the object distance with a minus sign and it is equal to the ratio of image height and object height. that is,
where,
- h' denotes height of image
- h denotes object height
- v denotes image distance
- u denotes object distance
By substituting all the given values in the formula,
Thus, the size of the image is 2.5 cm.
Nature of the image :
- The image is inverted and virtual.
- The image is diminished.
Explanation:
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