मराठी

A Diverging Mirror of Radius of Curvature 40 Cm Forms an Image Which is Half the Height of the Object. Find the Object and Image Positions. - Science

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प्रश्न

A diverging mirror of radius of curvature 40 cm forms an image which is half the height of the object. Find the object and image positions.

उत्तर

Given,
The mirror is convex.
Magnification 'm' = 12
Radius of curvature 'R' = 40 cm
Focal length of the convex mirror 'f=2 = 20 cm`
We have to find the position of the image 'v' and distance of the object from the mirror 'u'.
Using the mirror formula, we get  
`1/f=1/u+1/v`
Given, m=`1/2` 
Again, m =`-v/u` 
Therefore,V =-`-1/2u` 
By puting the value of `V` in the mirror formula, We get  
`1/f=1/u-2/u(-1)/u` 
⇒`1/20=(-1)/u` 
⇒`u=-20cm` 
⇒`v=-((-20))/2` 
⇒`v=10 cm` 
If an objet is placed at a distance of 20 cm in front of the mirror, the image will be formed 10 cm behind the mirror.   
shaalaa.com

Notes

`1/f=1/u-2/u(-1)/u` 
⇒`1/20=(-1)/u` 
⇒`u=-20cm` 
⇒`v=-((-20))/2` 
⇒`v=10 cm` 

  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Reflection of Light - Exercise 7 [पृष्ठ २०९]

APPEARS IN

लखमीर सिंह Physics (Science) [English] Class 10
पाठ 4 Reflection of Light
Exercise 7 | Q 7 | पृष्ठ २०९
लखमीर सिंह Physics (Science) [English] Class 10
पाठ 4 Reflection of Light
Exercise 7 | Q 7 | पृष्ठ २०९
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