Atarantula is sitting 4.5m in front of a concave sphericalmirror with radius of

Question

Atarantula is sitting 4.5m in front of a concave sphericalmirror with radius of R =1.4m. A) Construct a ray diagram toscale showing the object, image and themirror. Determine graphically the characteristics of theimage. B) If the image is 5.0cm tall,how high is the tarantula? Atarantula is sitting 4.5m in front of a concave sphericalmirror with radius of R =1.4m. A) Construct a ray diagram toscale showing the object, image and themirror. Determine graphically the characteristics of theimage. B) If the image is 5.0cm tall,how high is the tarantula?

Explanation / Answer

f be focal length f=r/2=0.7m d be distance = -4.5m we have 1/f=1/d+1/d' 1/0.7= -1/4.5+1/d' =>d'=0.61m Ho be height of the image Ho/H= -d'/d=>H= -0.05*(-4.5)/0.61˜0.37m

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