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Combinations of Lenses & Mirrors

A concave mir...

Question

A concave mirror is placed on a horizontal table, with its axis directed vertically upwards. Let O be the pole of the mirror and C its centre of curvature. A point object is placed at C. It has a real image, also, located at C (a condition called auto-collimation). If the mirror is now filled with water, the image will be

A

real, and will remain at C

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B

real, and located at a point between C and

\infty

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C

virtual, and located at a point between C and O

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D

real, and located at a point between C and O

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Solution

The correct option is D real, and located at a point between C and O
If the mirror is filled with water, it will start acting as a mirror that is kept in a medium other than air.
As a result the apparent position of the object will change as seen from the mirror and it will recede further back.
So the image of the object will be formed somewhere in between the optical pole and the circumcentre

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Q. A concave mirror is placed on a horizontal table with its axis directed vertically upwards. Let O be the pole of the mirror and C its centre of curvature. A point object is placed at C. It has a real image, also located at C. If the mirror is now filled with water, the image will be

Q. If a concave mirror forms a real magnified image of an object, the object is located

(a) between pole and focus
(b) between focus and centre of curvature
(c) beyond centre of curvature
(d) at centre of curvature

Q. The image of a real object, placed perpendicular to the principal axis of a concave mirror, will be virtual and erect if the position of object is
(a) At centre of curvature C
(b) Between F and centre of curvature C
(c) Between pole P and focus F
Choose the correct option among the following.

Q. Two spherical mirrors

M_{1}

M_{2}

are on optical Axis and at a separation of

50 c m

. A point object

O

is placed between Mirrors on optical Axis. Find Location and Nature of its Image after two successive Reflection at

M_{1}

M_{2}

.

Q. Use the mirror equation to deduce that:
(a) an object placed between

f

2 f

of a concave mirror produces a real image beyond

2 f

.
(b) a convex mirror always produces a virtual image independent of the location of the object.
(c) the virtual image produced by a convex mirror is always diminished in size and is located between the focus and the pole.
(d) an object placed between the pole and focus of a concave mirror produces a virtual and enlarged image.
[Note: This exercise helps you deduce algebraically properties of images that one obtains from explicit ray diagrams.]

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