Convex Mirror Image Calculation

In summary, the problem involves a convex mirror with a focal length of 75cm and an object with a height of 2.0m placed 6.0m away from the mirror. The distance from the object's virtual image to the mirror can be found using the equation 1/f = 1/do + 1/di, resulting in a value of 0.857m. However, taking into account proper sign convention, the answer should be -0.67m. To find the height of the object's image, the magnification formula m = di/do can be used.
  • #1
roxxyroxx
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Convex mirror problem help??

Homework Statement


a convex mirror has a focal length of 75cm. an object with a height of 2.0m is 6.0m from the mirror.
a) what is the distance from the object's virtual image to the mirror?
b) what is the height of the object's image?


Homework Equations



1/f = 1/do + 1/di

The Attempt at a Solution


1/0.75m = 1/6.0m + 1/di
di = 0.857m

but the answer should be -0.67 for a and i don't know part b
 
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  • #2


Use proper sign convension. Focal length of the convex mirror to be taken as negative.
For second part, use magnification formula. m = di/do
 
  • #3


thanks! ^^
 

Related to Convex Mirror Image Calculation

What is a convex mirror and how does it differ from a concave mirror?

A convex mirror is a curved mirror with a reflective surface that bulges outwards. It differs from a concave mirror, which has a reflective surface that curves inward. The curvature of a convex mirror causes light to spread out, resulting in a smaller, upright image being formed.

What is the formula for calculating the image distance in a convex mirror?

The formula for calculating the image distance in a convex mirror is 1/f = 1/u + 1/v, where f is the focal length of the mirror, u is the object distance, and v is the image distance.

How do you determine the magnification of an object in a convex mirror?

The magnification of an object in a convex mirror can be determined by dividing the image height by the object height. Since a convex mirror always produces a virtual image, the magnification will always be positive and less than 1.

What is the difference between a real and a virtual image in a convex mirror?

A real image is formed when the reflected rays actually converge at a point in front of the mirror. In a convex mirror, this is not possible, so a virtual image is formed where the reflected rays appear to come from. A virtual image is always upright and smaller than the object, while a real image can be inverted and larger than the object.

How is the image formed in a convex mirror?

The image in a convex mirror is formed by the reflection of light rays off the curved surface of the mirror. These reflected rays diverge, causing an upright and smaller virtual image to be formed. The image appears to be behind the mirror, but it is not actually located there.

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