(Long Answer Question) A concave mirror is marketed as a “shaving mirror” because it…

PHYSICS · Multi-part · CBSE · Physics · Light — Reflection and Refraction · Light — Reflection and Refraction

Problem

(Long Answer Question) A concave mirror is marketed as a “shaving mirror” because it can produce an erect, magnified image of the user. Let the desired magnification be +2+2 (image twice the size of the object and erect). Answer the following. (i) Starting from the mirror–magnification relation, derive an expression connecting the object distance uu and focal length ff for which the magnification is +2+2. (ii) If the mirror has focal length 15 cm15\,\text{cm}, calculate the precise object distance and image distance that satisfy the magnification requirement. (iii) The same mirror is now used to project a real image on a screen kept 80 cm80\,\text{cm} in front of the mirror (on the reflecting side). Determine the corresponding object position that will produce this real image on the screen.

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