B=1 Let A be the last digit and let B be the second to last digit of your 8-digi

Question

B=1

Let A be the last digit and let B be the second to last digit of your 8-digit student ID. (Example: for 20245347, A-7 and 8-4) A 4.50 cm tall object is placed in front a convex mirror with a focal length of-5.25%) cm. If the magnification is 1/(2-B), what is the distance from the object to the mirror. Give your answer in centimeters (cm) and with 3 significant figures. Do NOT change the title line of your response. Do NOT post your work, just your answer. Your answer with unit must be the very first characters of your reply. f your answer is later marked Substantive', it is correct.

Explanation / Answer

Given

size of the object y = 4.5 cm

focal length f = -(5.25+A) cm = -(5.25+1) = -6.25 cm

from lateral magnification m = y'/y

==> y' = y*m = 4.5*1/(2+B)

from lateral magnification m = -s'/s ==> s' = -m*s

substitute in the lens equation

   1/s + 1/s' = 1/f

   1/s - 1/(ms) = -1/(5.25+A)

1/s - (2+B)/(s) = -1/(5.25+A)

1/s - (2+1)/s = -1/(5.25+1)

  

object distance s = 12.5 cm   <<<<-ANswer

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