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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When an object is kept at a distance 20 cm in front of a concave mirror, a real image is formed at the centre of curvature of the mirroe. Magnification produced by the mirroe is ______________ .
When an object is kept in front of a concave mirror of a focal length of 10 cm, a real image is formed at a distance of 20 cm in front of the mirror. Here, the object distance is .............
Important Questions from Mirrors and Images
What type of mirror is used in the headlights of vehicles?
- A concave mirror forms a real and inverted image of a distant object at a distance of $15 \text{ cm}$ from the mirror.
If an object is placed $20 \text{ cm}$ in front of this mirror, what will be the nature and magnification of the image formed? The number of images observable between two parallel mirror is
An object is placed at a distance of \(\frac{f}{2}\) from a convex lens. The image will be
Which of the following pair is correct?
I. Mirror formula : (1/v) – (1/u) = (1/f)
II. Lens formula : (1/v) + (1/u) = (1/f)
