an object 3 cm high is placed 20cm from convex lens of focal lenght 12 cm. find the nature,position,magnification and height of the image.
Answers
An object 3 cm high is placed 20cm from convex lens of focal lenght 12 cm.
We have to find the nature, position, magnification and height of the image.
From above data we have; height of object (h) is 3 cm, object distance (u) is -20 cm and focal length (f) is 12 cm.
Using lens formula:
1/f = 1/v - 1/u
Substitute the values in the above formula,
→ 1/12 = 1/v - 1/(-20)
→ 1/12 = 1/v + 1/20
→ 1/12 - 1/20 = 1/v
→ (5 - 3)/60 = 1/v
→ 1/30 = 1/v
→ 30 = v
Therefore, the image distance from the lens is 30 cm.
Using Magnification formula:
m = v/u
Substitute the values,
→ m = 30/(-20)
→ m = -1.5
Also, m = h'/h
→ -1.5 = h'/3
→ -4.5 = h'
So, the height of the image is 4.5 cm.
Nature of the image:
Image is real, inverted and larger than the object.
Answer:
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Explanation: