A sphere of 1cm radius is placed at the distance of 50cm from the convex lens of 10cm focal length. What would be the height of the image of sphere ?
Answers
Explanation:
therefore the height of the image is 625 cm
Thank you
Answer:
The height of the image of the sphere is 0.5 cm.
Explanation:
Given,
A sphere has a radius of 1 cm at a distance of 50 cm from a convex lens. Also, the focal length of the lens is 10cm.
To find,
Height of the image of the sphere.
Solution,
The radius of the sphere(r) = 1 cm
So, the diameter of the sphere(h)=2 cm.
Object distance(u)=-50cm
Here, we have the focal length of the convex lens(f)=10 cm
According to the lens formula,
1/v-1/u=1/f
1/v-1/(-50)=1/10
1/v=1/10-1/50
1/v=(5-1)/50
1/v=4/50
v=25/2=12.5 cm
Magnification of the lens=v/u
=12.5/50
=1/4
Also, the Magnification of lens=h'/h
where he is the height of the image and h is the height of the object.
1/4=h'/2
h'=1/2cm
The height of the image is 0.5 cm.
#SPJ2