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प्रश्न
An object is placed at a distance of 6 cm from a convex mirror of focal length 12 cm. Find the position and nature of the image.
उत्तर
Distance of the object (u) = -6cm
Focal length of the convex mirror (f) = 12 cm
We have to find the position of the image (v) and the nature of the image.
Using the mirror formula, we get:
⇒`1/f=1/v+1/u`
⇒`1/12=1/v+1/-6`
⇒`1/12=1/v-1/6`
⇒`1/12+1/6=1/v`
⇒`1/12+2/12=1/v`
⇒`1/v=3/12`
⇒`1/v=1/4`
v=4 cm
Thus, the distance of the image (v) is 4 cm behind the mirror.
Now, using the magnification formula, we get:
`m=(-v)/u`
`m=(-4)/-6=2/3`
m=0.6
Thus, the image is virtual, erect and small.
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संबंधित प्रश्न
An object is placed at a distance of 10 cm from a convex mirror of focal length 15 cm. Find the position and nature of the image.
If the focal length of a spherical mirror is 12.5 cm, its radius of curvature will be:
(a) 25 cm
(b) 15 cm
(c) 20 cm
(d) 35 cm
What type of image/images are formed by:
a concave mirror?
What type of mirror should be used as a shop security mirror?
What happens to the image when the object is moved away from the mirror gradually?
A shop security mirror 5.0 m from certain items displayed in the shop produces on-tenth magnification.
What is the type of mirror?
Write true or false
The focal length of a convex mirror is equal to its radius of curvature.
To determine the focal length of a convex lens by obtaining a sharp image of a distant object we generally follow the following steps which are not in proper sequence.
(a) Hold the lens between the object and the screen
(B) Measure the distance between the lens and the screen
(C) Select a well lit distant object
(D) Place a screen opposite to the object on the lab table
(e) Adjust the position of the lens to form a sharp image
The correct sequence of these steps is:
(A) c, a, d, e, b
(B) c, d, a, e, b
(C) c, d, e, a, b
(D) c, a, e, d, b
The nature of image formed by a convex mirror when the object distance from the mirror is less than the distance between pole and focal point (F) of the mirror would be ______.
Assertion: A real image cannot be produced by plane or convex mirror.
Reason: The focal length of a convex mirror is always taken as positive.
