if an object of 7 cm heght is placed at a distance of 12 cm from a convex lens of focal length 8 cm foind the position,nature and height of image
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Prabir Ghosh (born 1 March 1945) is the founder and president of Bharatiya Bigyan O Yuktibadi Samiti, a science and rationalists' association based in Kolkata, India. He is the author of a number of books in Bengali disputing supernatural claims and is well known for his book series titled Aloukik Noy, Loukik.
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Given:-
- Height of object ,ho = 7cm
- Object distance u = -12cm
- Focal length,f = +8cm
To Find:-
- The position,nature and height of image
Solution:-
By using lens Formula
• 1/v - 1/u = 1/f
Substitute the value we get
→ 1/v = 1/f +1/u
→ 1/v = 1/8 + 1/(-12)
→ 1/v = 1/8 -1/12
→ 1/v = 3-2/24
→ 1/v = 1/24
→ v = 24 cm
The image distance is 24 cm .The image formed is real , inverted and larger than the object.
Now Calculating the Magnification
• magnification ,m = v/u = hi/ho
Substitute the value we get
→ m = -24/12 = hi/7
→ hi = -24×7/12
→ hi = -2×7
→ hi = -14 cm
Therefore, the image height is 14 cm .
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