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An object is 30.0 cm from a spherical mirror along the central axis. The absolute value of lateral magnification is `(1)/(2)`. The image produced is inverted. What is the focal length of the mirror?A. 10 cmB. `-10 cm`C. `- 15`D. 15 |
Answer» Correct Answer - B Image is inverted so it is real, u and v both are negative. Magnification is `(1)/(2)`, therefore, `v=(u)/(2)`. Given, u = - 30 cm and v = - 15 cm Using the mirror formula, `(1)/(v)+(1)/(u)=(1)/(f)` we have, `(1)/(f)=(1)/(-15)-(1)/(30)=-(1)/(10)` `therefore` Focal length `f= -10 cm` |
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