4 and 5 ne, convex, and concave can form virtual images. With a plane mirror, th

Question

4 and 5 ne, convex, and concave can form virtual images. With a plane mirror, the image infinitely far behind the mirror, depending on where the object is located in front o mirror may be f the a) For an object in front of a single convex mirror, what is the greatest distance behind the b) Is it possible to use a convex mirror to produce an image that is larger than the object? c) Suppose you stand in front of a spherical mirror (concave or convex). Is it possible for mirror at which the image can be found? Justify your answer Provide a reason for your answer your image to be i. Real and upright? Justify your answer. i. Virtual and inverted? Justify your answer. 5. A spheric al concave mirror and a convex lens are immersed in a liquid that has a refractive index that is greater than that of the convex lens. Compared to the way the mirror and lens work in air, how does the liquid effect their operation? Completely describe the effects on both

Explanation / Answer

4.

a) A Convex mirror always form virtual, erect and diminished image of real objects. The maximum distance behind the mirror where an image can be formed is the focal length of the mirror.

b) Since the convex mirror always forms image between the pole of the mirror and the principal focus of the mirror, the image distance(v) is always smaller than object distance(u) and thus the magnification given by:

m = -(v / u) have a value less than 1. Since magnification(m) is less than 1, image is of smaller size than that of object. Therefore a convex lens cannot form image of bigger size than object.

c)

i) For real image we need the intersection of reflected rays. Since in convex mirror, the incident rays are reflected away from each other, a convex mirror can never form a real image.

For a concave mirror it is possible to form a real image. When the object is placed anywhere between focus and infinity, the reflected rays after reflection actually converge and intersect, thus forming a real image. Since it is property of a real image that they are always inverted, an uprigt image cannot be formed from a concave mirror which is real.

ii) Since for virtual image, the rays are traced behind the mirror and the intersection of traced rays behind the mirror is only possible when the actual reflected rays appear to be diverge. Thus, by property of virual image, a virtual image whether it be from a convex mirror or concave mirror, it can never be erect.

5. Effect on concave mirror:

Since mirror work on the principle that the angle or incidence(i) will be equal to the angle of reflection(r), so the change in the refractive index of the surrounding medium will have no effect on the behaviour of concave mirror.

Effect on Convex Lens:

In a Convex lens the rays after refraction bends towards the normal since it travels from a rarer medium to denser medium, thus the rays appear to converge thereby giving us the property of convex lens. But when this lens is immersed in a liquid which is more dense than the material of the lens, then the incident rays after refraction bends away from the normal, as it travels from a denser medium to a rarer medium thereby appering to diverge from the lens, thereby behaving as a concave lens. Thus when immersed in denser liquid, the convex lens will behave as concave lens.

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