The image of an object is located 6cm behind a convex mirror. If its magnification...
PHYSICS
WAEC 1999
The image of an object is located 6cm behind a convex mirror. If its magnification is 0.6, calculate the focal length of the mirror
- A. 3.75cm
- B. 6.60cm
- C. 10.00cm
- D. -15.00cm
Correct Answer: D. -15.00cm
Explanation
V = -6cm
M = 0.6cm
Recall m = \(\frac{V}{U}\)
U = \(\frac{V}{M}\)
U = \(\frac{6}{0.6}\)
U = 10
\(\frac{1}{U}\) + \(\frac{1}{V}\) = \(\frac{1}{F}\)
\(\frac{1}{10}\) + \(\frac{1}{-6}\) = \(\frac{1}{F}\)
\(\frac{-4}{60}\) = \(\frac{1}{F}\)
F = \(\frac{60}{-4}\)
= -15cm
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