A 6.0 cm high object is placed 30.0 cm in front of a convex mirror. The radius of curvature of the mirror is 20.0 cm. How high is the image? Is it upright or inverted?

Respuesta :

Photons — particles of light — stream toward the smooth pane of glass and bounce off it. The image of everything in front of the mirror is reflected backward, retracing the path it traveled to get there. Nothing is switching left to right or up-down. Instead, it's being inverted front to back.

When an object is placed in front of the convex mirror, the image is formed behind the mirror.  The height of the image is 1.5 cm. The image is upright.

What is Convex mirror?

Convex mirror is the spherical type of mirror. It has positive focal length. It forms the images by the virtual meeting of the rays coming from the object.

By the lens maker formula,

1/f = 1/u +1/v

where image distance is v, the object distance is 30 cm and the focal length of mirror, f = Radius of curvature /2

f = 20/2 = 10 cm

Substitute the values, we get the image distance as

1/10 = 1/-30 +1/v

v = 7.5 cm (on right of lens)

From the definition,

m = -image distance /object distance = image height / object height

-(7.5) /30 = hi / 6

hi = 1.5 cm

Thus, the height of the image is 1.5 cm. The image is upright.

Learn more about Convex mirror.

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