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When an object is placed at a distance of 50cm from a concave spherical mirror , the magnification produced is -1/2. Where should an object be placed to get a magnification of -1/5?
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When an object is placed at a distance of 50cm from a concave spherica...
Calculation of Object Distance for Magnification of -1/5
- Given data:
- Object distance (u) = 50 cm
- Magnification (m) = -1/2
Calculating Focal Length of the Mirror
- Using the mirror formula:
- 1/f = 1/v + 1/u
- Given u = 50 cm, m = -1/2
- Using m = -v/u:
- -1/2 = -v/50
- v = 25 cm
- Substituting v = 25 cm into the mirror formula:
- 1/f = 1/25 + 1/50
- 1/f = 3/50
- f = 50/3 cm
Calculating Object Distance for Magnification of -1/5
- Given magnification m = -v/u
- For m = -1/5:
- -1/5 = -v/u
- v = u/5
- Using mirror formula 1/f = 1/v + 1/u:
- 1/(50/3) = 1/(u/5) + 1/u
- 3/50 = 5/(3u) + 1/u
- 3/50 = (5+3)/3u
- 3/50 = 8/3u
- u = 125 cm
Conclusion
To achieve a magnification of -1/5, the object should be placed at a distance of 125 cm from the concave spherical mirror. This calculation is based on the mirror formula and the given magnification value.
- Given data:
- Object distance (u) = 50 cm
- Magnification (m) = -1/2
Calculating Focal Length of the Mirror
- Using the mirror formula:
- 1/f = 1/v + 1/u
- Given u = 50 cm, m = -1/2
- Using m = -v/u:
- -1/2 = -v/50
- v = 25 cm
- Substituting v = 25 cm into the mirror formula:
- 1/f = 1/25 + 1/50
- 1/f = 3/50
- f = 50/3 cm
Calculating Object Distance for Magnification of -1/5
- Given magnification m = -v/u
- For m = -1/5:
- -1/5 = -v/u
- v = u/5
- Using mirror formula 1/f = 1/v + 1/u:
- 1/(50/3) = 1/(u/5) + 1/u
- 3/50 = 5/(3u) + 1/u
- 3/50 = (5+3)/3u
- 3/50 = 8/3u
- u = 125 cm
Conclusion
To achieve a magnification of -1/5, the object should be placed at a distance of 125 cm from the concave spherical mirror. This calculation is based on the mirror formula and the given magnification value.
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When an object is placed at a distance of 50cm from a concave spherical mirror , the magnification produced is -1/2. Where should an object be placed to get a magnification of -1/5?
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When an object is placed at a distance of 50cm from a concave spherical mirror , the magnification produced is -1/2. Where should an object be placed to get a magnification of -1/5? 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 When an object is placed at a distance of 50cm from a concave spherical mirror , the magnification produced is -1/2. Where should an object be placed to get a magnification of -1/5? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When an object is placed at a distance of 50cm from a concave spherical mirror , the magnification produced is -1/2. Where should an object be placed to get a magnification of -1/5?.
When an object is placed at a distance of 50cm from a concave spherical mirror , the magnification produced is -1/2. Where should an object be placed to get a magnification of -1/5? 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 When an object is placed at a distance of 50cm from a concave spherical mirror , the magnification produced is -1/2. Where should an object be placed to get a magnification of -1/5? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When an object is placed at a distance of 50cm from a concave spherical mirror , the magnification produced is -1/2. Where should an object be placed to get a magnification of -1/5?.
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