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An object is place at the following distances from a concave mirror of focal length $15 cm$ , turn by turn. Match the articles given in columns I with articles of column II.

Matrix::

Column I

Column II
(a)
$35 cm$
(i)
Magnified real image
(b)
$30 cm$
(ii)
Magnified virtual image
(c)
$20 cm$
(iii)
Diminished real image
(d)
$10 cm$
(iv)
Image of the same size of the object

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a-ii; b-i; c-iii; d- iv

a-iii; b-iv; c-i; d-ii

a-iii; b-ii; c-i; d-iv

a-ii; b-iii; c-i; d-iv

answer is B.

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Detailed Solution

Given,
Focal length,

F = 15 cm

So, Radius of curvature:

2 F = 30 cm

For

35 cm

: The object is beyond the center of curvature. When the object is placed

35 cm

away from the concave mirror it will give a diminished real image since the object is placed beyond center of curvature.
Question Image

For

30 cm

: when the object is positioned

30 cm

away from the mirror, it will give an image of the same size since the position of the object is at center of curvature.
Question Image

20 cm

: when the object is positioned

20 cm

away from the mirror we will get an enlarged and real since the position of the object is between focus and center of curvature.
Question Image

10 cm

: when the object is placed

10 cm

away from the concave mirror it will give a virtual image since the position of object is between focus and pole.
Question Image

Matrix::

	Column I		Column II
(a)	$35 cm$	(iii)	Diminished real image
(b)	$30 cm$	(ii)	Image of the same size of the object
(c)	$20 cm$	(i)	Magnified real image
(d)	$10 cm$	(ii)	Magnified virtual image

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