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For a spherical mirror with a focal length of 12 cm, what is the radius of curvature?
- a)6 cm
- b)12 cm
- c)24 cm
- d)36 cm
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
For a spherical mirror with a focal length of 12 cm, what is the radiu...
The focal length (f) and radius of curvature (R) of a spherical mirror are related by the equation:
R = 2f
Given:
f = 12 cm
Calculate the radius of curvature:
R = 2 × 12 cm
R = 24 cm
Thus, the correct answer is:C: 24 cm
R = 2f
Given:
f = 12 cm
Calculate the radius of curvature:
R = 2 × 12 cm
R = 24 cm
Thus, the correct answer is:C: 24 cm
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For a spherical mirror with a focal length of 12 cm, what is the radiu...
Understanding Focal Length and Radius of Curvature
The relationship between the focal length (f) and radius of curvature (R) of a spherical mirror is fundamental in optics. For spherical mirrors, this relationship is given by the formula:
R = 2f
This means that the radius of curvature is always twice the focal length.
Given Values
- Focal Length (f) = 12 cm
Calculating the Radius of Curvature
Using the formula R = 2f:
- R = 2 * 12 cm
- R = 24 cm
Thus, the radius of curvature of the mirror is 24 cm.
Conclusion
The correct answer is option 'C', which states that the radius of curvature is 24 cm. This is derived directly from the relationship between the focal length and the radius of curvature in spherical mirrors, reinforcing the concept that the radius is always twice the focal length. Understanding this relationship is crucial for solving problems related to mirrors in optics.
The relationship between the focal length (f) and radius of curvature (R) of a spherical mirror is fundamental in optics. For spherical mirrors, this relationship is given by the formula:
R = 2f
This means that the radius of curvature is always twice the focal length.
Given Values
- Focal Length (f) = 12 cm
Calculating the Radius of Curvature
Using the formula R = 2f:
- R = 2 * 12 cm
- R = 24 cm
Thus, the radius of curvature of the mirror is 24 cm.
Conclusion
The correct answer is option 'C', which states that the radius of curvature is 24 cm. This is derived directly from the relationship between the focal length and the radius of curvature in spherical mirrors, reinforcing the concept that the radius is always twice the focal length. Understanding this relationship is crucial for solving problems related to mirrors in optics.
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For a spherical mirror with a focal length of 12 cm, what is the radius of curvature?a)6 cmb)12 cmc)24 cmd)36 cmCorrect answer is option 'C'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about For a spherical mirror with a focal length of 12 cm, what is the radius of curvature?a)6 cmb)12 cmc)24 cmd)36 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a spherical mirror with a focal length of 12 cm, what is the radius of curvature?a)6 cmb)12 cmc)24 cmd)36 cmCorrect answer is option 'C'. Can you explain this answer?.
For a spherical mirror with a focal length of 12 cm, what is the radius of curvature?a)6 cmb)12 cmc)24 cmd)36 cmCorrect answer is option 'C'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about For a spherical mirror with a focal length of 12 cm, what is the radius of curvature?a)6 cmb)12 cmc)24 cmd)36 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a spherical mirror with a focal length of 12 cm, what is the radius of curvature?a)6 cmb)12 cmc)24 cmd)36 cmCorrect answer is option 'C'. Can you explain this answer?.
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