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Study the data given below showing the focal length of three concave mirror a b and c and the respective distance of the object place in front of the mirror case first a mirror 20 focal length 30 of the distance b 15 focal length 30 object distance in which one of the above the mirror will form a team of the object?
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Study the data given below showing the focal length of three concave m...
Understanding Concave Mirrors and Object Distance
Concave mirrors have unique properties that allow them to form images based on the distance of the object placed in front of them relative to their focal length. Here, we analyze the given data for three concave mirrors (A, B, and C) to determine where a real image is formed.
Data Overview
- Mirror A:
- Focal Length (f) = 20 cm
- Object Distance (u) = 30 cm
- Mirror B:
- Focal Length (f) = 15 cm
- Object Distance (u) = 30 cm
- Mirror C:
- Focal Length (f) = 30 cm
- Object Distance (u) = 30 cm
Image Formation Criteria
To determine where a real image is formed, we can use the mirror formula:
\[ \frac{1}{f} = \frac{1}{u} + \frac{1}{v} \]
Where:
- \( f \) = focal length of the mirror
- \( u \) = object distance (negative for concave mirrors)
- \( v \) = image distance
Calculating for Each Mirror
- Mirror A:
- \( u = -30 \) cm
- \( \frac{1}{20} = \frac{1}{-30} + \frac{1}{v} \)
- Solving gives \( v \) = 60 cm (real image)
- Mirror B:
- \( u = -30 \) cm
- \( \frac{1}{15} = \frac{1}{-30} + \frac{1}{v} \)
- Solving gives \( v \) = 30 cm (real image)
- Mirror C:
- \( u = -30 \) cm
- \( \frac{1}{30} = \frac{1}{-30} + \frac{1}{v} \)
- Solving gives \( v \) = 30 cm (real image)
Conclusion
All three mirrors (A, B, and C) can form real images under the given conditions, but the nature of the image (size and position) will vary based on the mirror's focal length and object distance. Mirror A produces the image at a greater distance from the mirror, while Mirrors B and C yield images closer to the mirror.
Concave mirrors have unique properties that allow them to form images based on the distance of the object placed in front of them relative to their focal length. Here, we analyze the given data for three concave mirrors (A, B, and C) to determine where a real image is formed.
Data Overview
- Mirror A:
- Focal Length (f) = 20 cm
- Object Distance (u) = 30 cm
- Mirror B:
- Focal Length (f) = 15 cm
- Object Distance (u) = 30 cm
- Mirror C:
- Focal Length (f) = 30 cm
- Object Distance (u) = 30 cm
Image Formation Criteria
To determine where a real image is formed, we can use the mirror formula:
\[ \frac{1}{f} = \frac{1}{u} + \frac{1}{v} \]
Where:
- \( f \) = focal length of the mirror
- \( u \) = object distance (negative for concave mirrors)
- \( v \) = image distance
Calculating for Each Mirror
- Mirror A:
- \( u = -30 \) cm
- \( \frac{1}{20} = \frac{1}{-30} + \frac{1}{v} \)
- Solving gives \( v \) = 60 cm (real image)
- Mirror B:
- \( u = -30 \) cm
- \( \frac{1}{15} = \frac{1}{-30} + \frac{1}{v} \)
- Solving gives \( v \) = 30 cm (real image)
- Mirror C:
- \( u = -30 \) cm
- \( \frac{1}{30} = \frac{1}{-30} + \frac{1}{v} \)
- Solving gives \( v \) = 30 cm (real image)
Conclusion
All three mirrors (A, B, and C) can form real images under the given conditions, but the nature of the image (size and position) will vary based on the mirror's focal length and object distance. Mirror A produces the image at a greater distance from the mirror, while Mirrors B and C yield images closer to the mirror.
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Study the data given below showing the focal length of three concave mirror a b and c and the respective distance of the object place in front of the mirror case first a mirror 20 focal length 30 of the distance b 15 focal length 30 object distance in which one of the above the mirror will form a team of the object?
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Study the data given below showing the focal length of three concave mirror a b and c and the respective distance of the object place in front of the mirror case first a mirror 20 focal length 30 of the distance b 15 focal length 30 object distance in which one of the above the mirror will form a team of the object? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Study the data given below showing the focal length of three concave mirror a b and c and the respective distance of the object place in front of the mirror case first a mirror 20 focal length 30 of the distance b 15 focal length 30 object distance in which one of the above the mirror will form a team of the object? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Study the data given below showing the focal length of three concave mirror a b and c and the respective distance of the object place in front of the mirror case first a mirror 20 focal length 30 of the distance b 15 focal length 30 object distance in which one of the above the mirror will form a team of the object?.
Study the data given below showing the focal length of three concave mirror a b and c and the respective distance of the object place in front of the mirror case first a mirror 20 focal length 30 of the distance b 15 focal length 30 object distance in which one of the above the mirror will form a team of the object? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Study the data given below showing the focal length of three concave mirror a b and c and the respective distance of the object place in front of the mirror case first a mirror 20 focal length 30 of the distance b 15 focal length 30 object distance in which one of the above the mirror will form a team of the object? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Study the data given below showing the focal length of three concave mirror a b and c and the respective distance of the object place in front of the mirror case first a mirror 20 focal length 30 of the distance b 15 focal length 30 object distance in which one of the above the mirror will form a team of the object?.
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Study the data given below showing the focal length of three concave mirror a b and c and the respective distance of the object place in front of the mirror case first a mirror 20 focal length 30 of the distance b 15 focal length 30 object distance in which one of the above the mirror will form a team of the object?, a detailed solution for Study the data given below showing the focal length of three concave mirror a b and c and the respective distance of the object place in front of the mirror case first a mirror 20 focal length 30 of the distance b 15 focal length 30 object distance in which one of the above the mirror will form a team of the object? has been provided alongside types of Study the data given below showing the focal length of three concave mirror a b and c and the respective distance of the object place in front of the mirror case first a mirror 20 focal length 30 of the distance b 15 focal length 30 object distance in which one of the above the mirror will form a team of the object? theory, EduRev gives you an
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