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An object 0.5m high is placed at a distance of 0.5m from a concave mirror of radius of curvature 0.2m.Find position and size of the image?
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An object 0.5m high is placed at a distance of 0.5m from a concave mir...
Calculation of image position and size for an object placed at a distance of 0.5m from a concave mirror of radius of curvature 0.2m
Gathering given information
- Height of object (ho) = 0.5m
- Distance of object from mirror (u) = -0.5m (negative sign indicates that the object is placed on the left side of the mirror)
- Radius of curvature (R) = -0.2m (negative sign indicates that it is a concave mirror)
Calculation of image distance (v)
Using mirror formula:
1/f = 1/v - 1/u
Where f is the focal length of the mirror
As the mirror is concave, the focal length is given by:
f = R/2 = -0.1m
Substituting the values, we get:
1/-0.1 = 1/v + 1/-0.5
On solving this equation, we get:
v = -0.1667m
Calculation of magnification (m)
Magnification is given by:
m = -v/u
Substituting the values, we get:
m = -(-0.1667)/(-0.5)
m = 0.3333
Calculation of image height (hi)
Image height is given by:
hi = m * ho
Substituting the values, we get:
hi = 0.3333 * 0.5
hi = 0.1667m
Conclusion
Thus, the image is formed at a distance of -0.1667m from the mirror and is 0.1667m high. The negative sign indicates that the image is formed on the same side of the mirror as the object and is inverted.
Community Answer
An object 0.5m high is placed at a distance of 0.5m from a concave mir...
1/f=1/v+1/u apply 😊😊
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An object 0.5m high is placed at a distance of 0.5m from a concave mirror of radius of curvature 0.2m.Find position and size of the image?
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An object 0.5m high is placed at a distance of 0.5m from a concave mirror of radius of curvature 0.2m.Find position and size of the image? 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 An object 0.5m high is placed at a distance of 0.5m from a concave mirror of radius of curvature 0.2m.Find position and size of the image? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object 0.5m high is placed at a distance of 0.5m from a concave mirror of radius of curvature 0.2m.Find position and size of the image? .
An object 0.5m high is placed at a distance of 0.5m from a concave mirror of radius of curvature 0.2m.Find position and size of the image? 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 An object 0.5m high is placed at a distance of 0.5m from a concave mirror of radius of curvature 0.2m.Find position and size of the image? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object 0.5m high is placed at a distance of 0.5m from a concave mirror of radius of curvature 0.2m.Find position and size of the image? .
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