Concave Mirror Image Calculation
The question asks for the characteristics of an image formed by a concave mirror, given specific object placement and magnification.
Understanding Magnification and Sign Conventions
- A concave mirror is used.
- The image is real and magnified three times.
- Object distance, u, is 10 cm in front of the mirror. By convention, object distance is negative: u = -10 cm.
- Magnification, m, for a real, magnified image is negative and equals -3.
Calculating Image Distance (v)
The magnification formula for mirrors is:
$ m = -\frac{v}{u} $
Substitute the known values:
$ -3 = -\frac{v}{(-10 \text{ cm})} $
Simplify the equation:
$ -3 = \frac{v}{10 \text{ cm}} $
Solve for v:
$ v = -3 \times 10 \text{ cm} $
$ v = -30 \text{ cm} $
Interpreting the Image Characteristics
- The image distance v = -30 cm. The negative sign indicates the image is formed in front of the mirror.
- The magnification m = -3. The negative sign indicates the image is inverted. The magnitude (3) confirms it is magnified.
- A real image formed by a concave mirror is always inverted.
Therefore, an inverted image is formed at a distance of 30 cm in front of the concave mirror.
Similar Questions
- If an object is placed between infinity and the pole (P) in front of a convex mirror, what type of image will be formed?
- 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?
- The radius of curvature of a spherical mirror is 20 cm. Its focal length is:
- 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
Which one of the following telescopes contains only mirrors?
The correct relation between the radius of curvature R and focal length f of a spherical mirror is
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
The image of an object formed by a plane mirror is
The image we see in plane mirror is
