Advertisements
Advertisements
प्रश्न
Use the mirror equation to show that a convex mirror always produces a virtual image independent of the location of the object.
Advertisements
उत्तर
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
संबंधित प्रश्न
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.
Use the mirror equation to deduce that an object placed between the pole and focus of a concave mirror produces a virtual and enlarged image.
Using mirror formula, explain why does a convex mirror always produce a virtual image.
An object is kept on the principal axis of a concave mirror of focal length 10 cm. at a distance of 15
cm from its pole. The image formed by the mirror is:
(a) Virtual and magnified
(b) Virtual and diminished
(c) Real and magnified
(d) Real and diminished
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
Can a plane mirror ever form a real image?
A point source of light is placed in front of a plane mirror.
following Figure shows two rays A and B being reflected by a mirror and going as A' and B'. The mirror
A light ray falling at an angle of 45° with the surface of a clean slab of ice of thickness 1.00 m is refracted into it at an angle of 30°. Calculate the time taken by the light rays to cross the slab. Speed of light in vacuum = 3 × 108 m s−1.
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.
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, going through a prism with the angle of prism 60°, is found to deviate by 30°. What limit on the refractive index can be put from these data?
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 ______.
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:
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?
A convex lens of focal length 15 cm is placed coaxially in front of a convex mirror. The lens is 5 cm from the pole of the mirror. When an object is placed on the axis at a distance of 20 cm from the lens, it is found that the image coincides with the object. Calculate the radius of curvature of the mirror - (consider all-optical event):
