MP Board Class 10 Science — What is the focal length of a

Q: What is the focal length of a convex mirror whose radius of curvature is $32\text{ cm}$?

Correct Option: A (+16 cm) Explanation:\nThe relationship between the focal length ($f$) and the radius of curvature ($R$) of a spherical mirror is given by: $$f = \frac{R}{2}$$ \nAccording to the new Cartesian sign convention, the radius of curvature of a convex mirror is positive ($R = +32\text{ cm}$). \nSubstituting the value: $$f = \frac{+32}{2} = +16\text{ cm}$$ \nThus, the focal length of the convex mirror is $+16\text{ cm}$.

MP Board · Class 10 · Science · Light – Reflection and RefractionWhat is the focal length of a convex mirror whose radius of curvature is $32\text{ cm}$?

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Total Attempts: 6

Accuracy Rate: 33.3%

Step-by-Step Solution

Correct Option: A (+16 cm)

Explanation:\nThe relationship between the focal length ($f$) and the radius of curvature ($R$) of a spherical mirror is given by: $$f = \frac{R}{2}$$ \nAccording to the new Cartesian sign convention, the radius of curvature of a convex mirror is positive ($R = +32\text{ cm}$). \nSubstituting the value: $$f = \frac{+32}{2} = +16\text{ cm}$$ \nThus, the focal length of the convex mirror is $+16\text{ cm}$.

Detailed Options Breakdown

Option : +16 cm (Correct Answer)

Correct choice. Refer to the step-by-step verified solution guidelines above for details.

Option 1: -16 cm

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Light – Reflection and Refraction.

Option 2: +64 cm

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Light – Reflection and Refraction.

Option 3: -32 cm

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Light – Reflection and Refraction.

💡 Study Guide: This question tests core syllabus concepts from Light – Reflection and Refraction. For formulas, key summaries, and mock exam reference guides, read the full Light – Reflection and Refraction Revision Notes.

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