Which of the following statements best explains why the image produced by a plane…

PHYSICS · Single correct · CBSE · Physics · Light — Reflection and Refraction · Light — Reflection and Refraction

Problem

Which of the following statements best explains why the image produced by a plane mirror always appears at the same distance behind the mirror as the object is in front of it? (a) Because the plane mirror’s focal length is effectively infinite, the term 1f\tfrac{1}{f} is zero, making 1si=1so\tfrac{1}{s_i}=\tfrac{1}{s_o} and thus si=sos_i = s_o. (b) Because light reflects at equal angles, the law of reflection directly requires si=sos_i = s_o without any reference to focal length. (c) Because a plane mirror has a focal length of zero, both sis_i and sos_o must also be zero, forcing them to be equal. (d) Because the magnification for a plane mirror is m=−1m = -1, substituting m=−sisom = -\dfrac{s_i}{s_o} yields si=sos_i = s_o.

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