Advertisements
Advertisements
Question
Use the mirror equation to show that a convex mirror always produces a virtual image independent of the location of the object.
Advertisements
Solution
For convex mirror, the focal length is always positive, f = +ve
An object is placed on the left side of the mirror. So, the object distance, u = −ve or u < 0. Using the mirror formula, we have,
`1/"f" = 1/"v" + 1/"u"`
`1/"v" = 1/"f" - 1/"u"`
Since f > 0 and u < 0, then from the above equations, we get that v > 0 ⇒ v < 0
Hence, a virtual image is always formed at the backside of the mirror. Therefore, the image formed by the convex mirror is always virtual in nature, independent of the location of the object.
APPEARS IN
RELATED QUESTIONS
Calculate the distance of an object of height h from a concave mirror of radius of curvature 20 cm, so as to obtain a real image of magnification 2. Find the location of the image also.
Use the mirror equation to show that an object placed between f and 2f of a concave mirror produces a real image beyond 2f.
Use the mirror equation to deduce that the virtual image produced by a convex mirror is always diminished in size and is located between the focus and the pole.
Using mirror formula, explain why does a convex mirror always produce a virtual image.
Use the mirror equation to show a convex mirror always produces a virtual image independent of the location of the object ?
Can a plane mirror ever form a real image?
The rays of different colours fail to converge at a point after going through a converging lens. This defect is called
A small object is placed at the centre of the bottom of a cylindrical vessel of radius 3 cm and height 4 cm filled completely with water. Consider the ray leaving the vessel through a corner. Suppose this ray and the ray along the axis of the vessel are used to trace the image. Find the apparent depth of the image and the ratio of real depth to the apparent depth under the assumptions taken. Refractive index of water = 1.33.
Find the maximum angle of refraction when a light ray is refracted from glass (μ = 1.50) to air.
Write any one use for each of the following mirrors :
(a) Convex
(b) Concave
Name the physical principle on which the working of optical fibers is based.
The focal length f is related to the radius of curvature r of the spherical convex mirror by ______.
Car B overtakes car A at a relative speed of 40 ms-1. How fast will the image of car B appear to move in the mirror of focal length 10 cm fitted in car A, when car B is 1.9 m away from car A?
When a clock is viewed in a mirror, the needles exhibit a time which appears to be 8:20. Then the actual time will be:
