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A 2cm high object is kept at a distance of 32 cm from concave mirror. the image is 3 cm in size real n inverted. find the focal length n the distance of image formed?
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A 2cm high object is kept at a distance of 32 cm from concave mirror. ...
Given Data
- Object height (h) = 2 cm
- Object distance (u) = -32 cm (object distance is negative in mirror formula)
- Image height (h') = -3 cm (negative for real and inverted images)
Using Mirror Formula
The mirror formula is given by:
1/f = 1/v + 1/u
Where:
- f = focal length
- v = image distance
Finding Image Distance (v)
We can use the magnification formula:
M = h'/h = -v/u
Substituting the values:
-3/2 = -v/(-32)
Cross-multiplying gives:
-3 * (-32) = -2 * v
96 = -2v
Thus, v = -48 cm
Finding Focal Length (f)
Now, substitute the values in the mirror formula:
1/f = 1/v + 1/u
1/f = 1/(-48) + 1/(-32)
Finding a common denominator (which is 48 * 32):
1/f = -2/96 - 3/96
1/f = -5/96
Therefore,
f = -96/5 = -19.2 cm
Conclusion
- The focal length of the concave mirror is -19.2 cm.
- The distance of the image formed is -48 cm, indicating that the image is real and formed on the same side as the object.
This analysis provides a complete understanding of the concave mirror's properties and the relationship between object distance, image distance, and focal length.
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A 2cm high object is kept at a distance of 32 cm from concave mirror. the image is 3 cm in size real n inverted. find the focal length n the distance of image formed?
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A 2cm high object is kept at a distance of 32 cm from concave mirror. the image is 3 cm in size real n inverted. find the focal length n the distance of image formed? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A 2cm high object is kept at a distance of 32 cm from concave mirror. the image is 3 cm in size real n inverted. find the focal length n the distance of image formed? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 2cm high object is kept at a distance of 32 cm from concave mirror. the image is 3 cm in size real n inverted. find the focal length n the distance of image formed?.
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