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Match the articles given in column I with the articles of column II.

Matrix:

Column I

Column II
(a)
a)      All the distances are measured
(i)
of incident light are taken as negative
(b)
b)     Distances measured in the same direction as that of incident light
(ii)
From pole
(c)
c)      Distances measured against the direction of incident light
(iii)
as that of incident light are taken as positive
(d)
d)     Distances measured upward and perpendicular to the principal axis
(iv)
to the principal axis are taken as positive

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

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

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

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

answer is D.

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Detailed Solution

For measuring the various distances in the ray diagrams of reflection by spherical mirrors, we shall adopt the following system of signs called new Cartesian sign conventions.
1)     All the distances in a ray diagram of reflection by spherical mirrors are measured from the pole of the spherical mirror.
2)     The distances measured in the direction of incident light are taken as positive.
3)     The distances measured in the direction opposite to the direction of incident light are taken as negative.
4)     The heights measured upwards and perpendiculars to the principal axis of the mirror are taken as positive.
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