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.
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
a) Give two reasons to explain why reflecting telescopes are preferred over refracting type.
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.
A point object O is placed at a distance of 15cm from a convex lens L of focal length 1 Ocm as shown in Figure 5 below. On the other side of the lens, a convex mirror M is placed such that its distance from the lens is equal to the focal length of the lens. The final image formed by this combination is observed to coincide with the object O. Find the focal length of the convex mirror
Use the mirror equation to show that an object placed between f and 2f of a concave mirror forms an image beyond 2f.
Use the mirror equation to show a convex mirror always produces a virtual image independent of the location of the object ?
following Figure shows two rays A and B being reflected by a mirror and going as A' and B'. The mirror
Mark the correct options.
Which of the following (referred to a spherical mirror) do (does) not depend on whether the rays are paraxial or not?
(a) Pole
(b) Focus
(c) Radius of curvature
(d) Principal axis
A cylindrical vessel of diameter 12 cm contains 800π cm3 of water. A cylindrical glass piece of diameter 8.0 cm and height 8.0 cm is placed in the vessel. If the bottom of the vessel under the glass piece is seen by the paraxial rays (see figure), locate its image. The index of refraction of glass is 1.50 and that of water is 1.33.
A light ray is incident at an angle of 45° with the normal to a √2 cm thick plate (μ = 2.0). Find the shift in the path of the light as it emerges out from the plate.
A light ray is incident normally on the face AB of a right-angled prism ABC (μ = 1.50) as shown in figure. What is the largest angle ϕ for which the light ray is totally reflected at the surface AC?
A parallel beam of light is allowed to fall on a transparent spherical globe of diameter 30cm and refractive index 1.5. The distance from the centre of the globe at which the beam of light can converge is ______ mm.
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:
An upright object is placed at a distance of 40 cm in front of a convergent lens of a focal length of 20 cm. A convergent mirror of focal length 10 cm is placed at a distance of 60 cm on the other side of the lens. The position and size of the final image will be ______.
Two plane mirrors are inclined at an angle of 40°. The possible number of images of an object placed at point P would be?
A point object is placed at a distance of 30 cm from a convex mirror of a focal length of 30 cm. What is the separation between the image and the object?
