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Question

If the focal length of a spherical mirror is 16 cm, what is its radius of curvature?

This question was previously asked in
RRB JE 2018 CBT 1 Question Paper English (30-May-2019) (Shift 3)
The correct answer is

32 cm

32 cm is correct.

For a spherical mirror the focus lies midway between the pole and the centre of curvature, so the radius of curvature is twice the focal length: \(R = 2f\).

\(R = 2\times16 = 32\) cm.

This relation holds for both concave and convex mirrors of small aperture, so the radius of curvature is 32 cm.

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Important Questions from Mirrors and Images

  1. 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?
  2. The number of images observable between two parallel mirror is

  3. 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)

  4. 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:
  5. A ray of light is made incident on a concave mirror, parallel to its principal axis. After reflection it will -

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