Spherical Mirror Focal Length Calculation
The relationship between the focal length ($f$) of a spherical mirror and its radius of curvature ($R$) is fundamental in optics.
- The focal length is exactly half the radius of curvature.
- The formula relating them is: $f = \frac{R}{2}$
Applying the Formula
Given the radius of curvature ($R$) is 20 cm.
- Substitute the value of $R$ into the formula: $f = \frac{20 \text{ cm}}{2}$
- Calculate the focal length: $f = 10 \text{ cm}$
Therefore, the focal length of the spherical mirror is 10 cm.
Similar Questions
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Important Questions from Mirrors and Images
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Which of the following pair is correct?
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II. Lens formula : (1/v) + (1/u) = (1/f)
- A beam of parallel light, originating from a distant source, is first incident on a convex lens with focal length $f_2$.
Subsequently, the light passes through the lens and then reflects from a concave mirror having a focal length $f_1$.
The concave mirror is placed at a distance $d$ from the convex lens.
For the light rays to retrace their original path and ultimately emerge from the lens as a parallel beam heading back towards the distant source, the separation distance $d$ between the lens and the mirror must be: A ray of light is made incident on a concave mirror, parallel to its principal axis. After reflection it will -
