B=1 C=11 Let A be the last digit, let B be the second to last digit, and let C b
ID: 1791258 • Letter: B
Question
B=1
C=11
Let A be the last digit, let B be the second to last digit, and let C be the sum of the last three digits of your 8-digit student ID. Example: for 20245347, A 7, B-4, and C-14 A (2.50 + A) cm tall object is placed at a distance of (6.20 + C) from a convex mirror. The distance from the mirror to its focal point is (8-40+ B) cm. Find the magnification of the image formed by the mirror. Give your answer with 3 significant figures and make sure to include the correct sign. 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 correctExplanation / Answer
Given,
A = 1 ; B = 1 and C = 11
h = (2.5 + A) = 3.5 cm
o = (6.2 + 11) = 17.2 cm
f = (8.4 + 1) = -9.4 cm (negative since its a convex mirror)
We know from lens eqn
1/f = 1/i + 1/o
i = o x f/(o - f)
i = 17.2 x -9.4/(17.2 + 9.4) = -6.078 cm
we know that the magnification is goven by:
M = -i/o = h'/h
M = -(-6.078)/17.2 = 0.353
Hence, M = 0.353
the height of image formed will be:
h' = 0.35 x 3.5 = 1.235 cm
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