Which of the following expressions gives the linear magnification produced by a concave mirror of...
PHYSICS
JAMB 1993
Which of the following expressions gives the linear magnification produced by a concave mirror of radius of curvature r, if U and V are the object and image distances respectively?
- A. \(\frac{V}{r}\) - 1
- B. \(\frac{2V}{r}\) - 1
- C. \(\frac{U}{r}\) - 1
- D. \(\frac{2U}{r}\) - 1
Correct Answer: B. \(\frac{2V}{r}\) - 1
Explanation
F = \(\frac{r}{2}\) and v = mu
F = \(\frac{UV}{U + V}\)
\(\frac{r}{2}\) = \(\frac{U \times mu}{U + mu}\)
\(\frac{r}{2}\) = \(\frac{mu^2}{u(1 + m)}\)
\(\frac{r}{2} = \frac{mu}{1+m}\)
\(\frac{r}{2} = \frac{v}{1+m}\)
\(\frac{2v}{r} = 1+m\)
\(m = \frac{2v}{r} - 1\)
Post an Explanation Or Report an Error
If you see any wrong question or answer, please leave a comment below and we'll take a look. If you doubt why the selected answer is correct or need additional more details? Please drop a comment or Contact us directly. Your email address will not be published. Required fields are marked *