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A convex mirror used on a truck has 3m radius of curvature if a bus is located at 5m from the mirror find the position nature and size of the image?
focal length = half radius of curvature 3/2 = 1.5 focal length of mirror is 1.5m 1/f = 1/u + 1/v 1/1.5 = 1/5 +1/v the focal length is negative however because it is a diverging mirror so -1/1.5 = 1/5 + 1/v -1/1.5 - 1/5 = 1/v -10/15 - 3/15 = 1/v -13/15 = 1/v -15/13 = v v = -1.15m the image is 1.15m back from the mirror and is virtual, diminished and upright magnification = v/u -1.15/5 = -0.23 the image bus is 0.23 times smaller than the object
What else can I help you with?
What is the principal focus of convex mirror?
The principal focus of a convex mirror is the point where light rays parallel to the mirror's principal axis appear to converge after reflection. This point is located behind the mirror at a distance equal to half the radius of curvature of the mirror.
True or false the center of curvature of a plane mirror is at infinity?
Plane mirrors don't have one, I'd say it was 0.
Why are objects in a car mirror closer than they appear?
There is a plane mirror on the driver's side and a convex mirror on the passenger's side. The reason only the passenger mirror is convex is because you are farther away from it. The angular view provided by farther mirror of the same physical size produces a similarly smaller reflected field of view. The convex mirror provides a larger field of view- one that should be comparable to the closer drivers mirror.
Who invented the convex mirror?
John J. Convex
A mirror or lens that curves outward is?
convex
What are the parts of convex mirror?
A convex mirror consists of a reflective surface that curves outward, away from the observer. It also has a focal point located behind the mirror and a center of curvature, which is the midpoint of the mirror's curvature.
How would you find the focal point of a convex mirror?
To find the focal point of a convex mirror, you can use the formula: f = R/2, where R is the radius of curvature of the mirror. The focal point of a convex mirror is located behind the mirror, at a distance equal to half the radius of curvature.
What is position of focus point in convex mirror and concave mirror?
In a convex mirror, the focus point is located behind the mirror, on the same side as the object. In a concave mirror, the focus point is located in front of the mirror, on the opposite side of the object.
How will a ray directed towards the centre of curvature of a convex mirror be reflected?
A ray directed towards the centre of curvature of a convex mirror will reflect back on itself along the same path. This is because the centre of curvature is located on the normal line, so the angle of incidence and the angle of reflection will be equal due to the principle of reflection.
What is the principal focus of convex mirror?
The principal focus of a convex mirror is the point where light rays parallel to the mirror's principal axis appear to converge after reflection. This point is located behind the mirror at a distance equal to half the radius of curvature of the mirror.
How do you derive relation between focal length and radius of curvature of convex mirror?
For a convex mirror, the focal length (f) is half the radius of curvature (R) of the mirror. This relationship arises from the mirror formula for convex mirrors: 1/f = 1/R + 1/v, where v is the image distance. When the object is at infinity, the image is formed at the focal point, and the image distance is equal to the focal length. Hence, 1/f = -1/R when solving for the focal length in terms of the radius of curvature for a convex mirror.
What is the center of curvature of the mirror?
The center of curvature of a mirror is the point located at a distance equal to the radius of curvature from the mirror's vertex. It is the center of the sphere of which the mirror forms a part. Light rays that are reflected from the mirror and pass through this point are either parallel to the principal axis (for concave mirrors) or appear to diverge from this point (for convex mirrors).
What is the center of curvature of a plane mirror?
A plane mirror is not curved so it does not have a center of curvature. Or if you want to be mathematically correct, you could say that it's center of curvature is at an infinite distance from the mirror.
Examples of concave and convex mirrors?
Convex means rounded or curved like the exterior of a circle or sphere. Also called as fish eye or diverging mirror. The mirror coating of the concave mirror is on the outside of the spherical surface. In concave mirrors, the center of curvature and the reflecting surface fall on the same side of the mirror.
What is the ratio of focal length of a spherical mirror to its radius curvature?
The focal point of a convex mirror lies on the same side as the centre of curvature and is at a distance of half the radius of curvature from the optical centre.
What is the center of curvature of a mirror?
A plane mirror is not curved so it does not have a center of curvature. Or if you want to be mathematically correct, you could say that it's center of curvature is at an infinite distance from the mirror.
Is there ever a position where an object will not have an image produced in a convex mirror?
This will depend entirely on the geometry of the convex mirror. Only if the mirror is a spherical shell will the answer be "no."
