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56 An object is placed in front of two mirrors inclined at an angle \(\theta\) to each ...
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56 An object is placed in front of two mirrors inclined at an angle \(\theta\) to each other. If eight (8) images are formed, what is the value of \(\theta\) ?
A.
\(40^{\circ}\)
B.
\(50^{\circ}\)
C.
\(60^{\circ}\)
D.
\(120^{\circ}\)
Show Answer
Show Explanation
Correct Answer: A
Explanation
\begin{array}{l}
\mathrm{A} \text { : } \\
\mathrm{N}=\frac{360^{\circ}}{\theta}-1 \\
8=\frac{360^{\circ}}{\theta}-1 \\
8+1=\frac{360^{\circ}}{\theta} \\
9=\frac{360^{\circ}}{\theta}, \theta=\frac{360^{\circ}}{9}=40^{\circ}
\end{array}
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