An object is placed at a distance 20cm in front of a convex mirror of radius of curvature 30cm. find the position and nature of the image
Answers
Answered by
3
Hey,,
distance of the object (u) = 20 cm
radius = 30 cm
position of image(u)=?
Now,,
focal length (f) = 1/2r
=1/2*30
f=15cm.
Applying formula,
1/f=1/u+1/v
1/15=1/-20+1/v
1/15=v-20/-20v
-5v=300
v=-60cm.
Nature of the image is erect, virtual and diminished image.
Hope this helps!!
distance of the object (u) = 20 cm
radius = 30 cm
position of image(u)=?
Now,,
focal length (f) = 1/2r
=1/2*30
f=15cm.
Applying formula,
1/f=1/u+1/v
1/15=1/-20+1/v
1/15=v-20/-20v
-5v=300
v=-60cm.
Nature of the image is erect, virtual and diminished image.
Hope this helps!!
Answered by
1
Given :-
A convex mirror has a radius of 20 cm. An object is placed 30 cm in front of the mirror.
To Find :-
What is the distance where the image is formed.
Formula Used :-
♣ Focal Length Formula :
where,
f = Focal Length
♣ Mirror Formula :
where,
v = Image Distance
u = Object Distance
f = Focal Length
Solution :-
First, we have to find the focal length :
Given :
Radius = 20 cm
According to the question by using the formula we get,
Hence, the focal length is 10 cm .
Now, we have to find the image distance :
Given :
Focal length = 10 cm
Object Distance = - 30 cm
According to the question by using the formula we get,
By doing cross multiplication we get,
The distance where the image is formed is 7.5 cm.
Similar questions