An object of size 5 cm is placed at a distance of 25 cm, form a convex lens of focal length
10 cm. calculate the distance of image from the lens and size of the image. State nature of
image formed
Answers
If the object is kept at 25 cm and the focal length is 10 cm then, the distance of the image from the lens is + 16. 67 cm and the size of the image is – 3.3 cm and thus the image is real and inverted.
Explanation:
The size of the object, ho = 5 cm
The object distance, u = - 25 cm
The focal length , f = 10 cm
Let the image distance be denoted as “v” cm and the height of the image be denoted as “hi” cm.
Using the Lens formula, we get
1/v – 1/u = 1/f
⇒ 1/v = 1/f + 1/u
Substituting the values of u and f
⇒ 1/v = 1/10 + 1/[-25]
⇒ 1/v = 1/10 – 1/25
⇒ 1/v = [5+2] / 50
⇒ 1/v = 3/50
⇒ v = 50/3
⇒ v = 16.67 cm ← the image is formed on the other side of the object as the image distance is positive.
Now,
Magnification,
m = [v/u] = 16.67 / (-25) = - 0.66 cm ← image is real and inverted
Therefore,
The size of the image is given by,
m = hi/ho
substituting the values of m and ho
⇒ - 0.667 = hi/5
⇒ hi = - 3.33 cm
Thus, the distance of image from the lens is +16.67 cm, the size of the image is – 3.33 cm and the image so formed is real and inverted.
----------------------------------------------------------------------------------------------
Also View:
A 5 cm tall object is placed perpendicular to the principal axis of a convex lens of focal- length 20 cm. The distance of the object from the len is 30 cm. Find the: (i) position (ii) nature (iii) size of the image formed.
https://brainly.in/question/6861083
If a person in a various problems uses spectacles of power +1.0 dioptric what is the nearest distance of distinct vision for him?
https://brainly.in/question/7531827