a)Find the image distance and linear magnification for a smallobject on the opti

Question

a)Find the image distance and linear magnification for a smallobject on the optical axis, 18.5 cm from a lens of focallength -10.2 cm. image distance cm linear magnification


b)A cowboy, 6.8 feet tallwith his hat, views his full image in a plane mirror. (a) What is the height of the image?
feet

(b) What is the minimum length of the mirror?
feet b)A cowboy, 6.8 feet tallwith his hat, views his full image in a plane mirror. (a) What is the height of the image?
feet

(b) What is the minimum length of the mirror?
feet image distance cm linear magnification

Explanation / Answer

a)u=-18.5cm f=-10.2cm lens eqis 1/v-1/u=1/f where u=object distance and v is image distance and f is the focallength now 1/v=1/f+1/u=-1/10.2+1/-18.5=-1/10.2-1/18.5=>v=-6.5749cm magnification=v/u=6.5749/18.5=0.3554 b) height of the image=6.8feet minimum length of the mirror=half the height of the cowboy=6.8/2=3.4feet

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