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Question

The radius of curvature of a spherical mirror is 20 cm. Its focal length is:

This question was previously asked in
RRB ALP 2018 CBT 2 Fitter Question Paper (21-Jan-2019) (Shift 3)
The correct answer is
10 cm

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.

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Similar Questions

  1. If an object is placed between infinity and the pole (P) in front of a convex mirror, what type of image will be formed?
  2. A concave mirror produces three times magnified (enlarged) real image of object placed at 10 cm in front of it. Which option describes the image correctly?
  3. Which of the following mirrors is used by doctors to focus a parallel beam of light on the patient's organs like teeth for the examination?
  4. The nature of the image formed by a concave mirror if the magnification produced by the mirror is +3 is:

Important Questions from Mirrors and Images

  1. Which one of the following telescopes contains only mirrors?

  2. The correct relation between the radius of curvature R and focal length f of a spherical mirror is

  3. Spherical mirror formula relating an object distance ‘u’, image distance ‘v’ and focal length of mirror ‘f’ may be applied to a plane mirror when

  4. The image of an object formed by a plane mirror is

  5. The image we see in plane mirror is

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