iran-konkur 2015 Q167

iran-konkur · Other · konkur-riazi_1394 Not Maths
167- The figure shows the reflection from the surface of a convex mirror. $F$ and $C$ are the focus and center of the mirror. What is the correct relationship between $\alpha$ and $\beta$?
[Figure: A convex mirror with an incident ray making angle $\alpha$ with the principal axis and reflected ray making angle $\beta$, with points F and C marked on the axis]
  • [(1)] $2\alpha < \beta < 3\alpha$
  • [(2)] $\alpha < \beta < 2\alpha$
  • [(3)] $\beta = 2\alpha$
  • [(4)] $\beta = 3\alpha$
\textbf{167-} The figure shows the reflection from the surface of a convex mirror. $F$ and $C$ are the focus and center of the mirror. What is the correct relationship between $\alpha$ and $\beta$?

\textit{[Figure: A convex mirror with an incident ray making angle $\alpha$ with the principal axis and reflected ray making angle $\beta$, with points F and C marked on the axis]}

\begin{itemize}
    \item[(1)] $2\alpha < \beta < 3\alpha$
    \item[(2)] $\alpha < \beta < 2\alpha$
    \item[(3)] $\beta = 2\alpha$
    \item[(4)] $\beta = 3\alpha$
\end{itemize}