A) \[20\sqrt{3}\]
B) \[100\]
C) 150
D) 200
Correct Answer: A
Solution :
The distance travelled by the .incident ray along the length of mirror in one reflection is denoted by \[x\] in the given figure. \[\tan 30=\frac{x}{10}\] \[\Rightarrow \] \[x=\frac{10}{\sqrt{3}}cm\]. Now total number of reflections \[\text{=}\frac{\text{total}\,\,\text{distance}\,\,\text{covered}\,\,\text{by}\,\,\text{ray}\,\,\text{along}\,\,\text{the}\,\,\text{length}\,\,\text{of}\,\,\text{mirror}}{\text{distance}\,\,\text{covered}\,\,\text{by}\,\,\text{the}\,\,\text{ray}\,\,\text{in}\,\,\text{one}\,\,\text{reflection}}\]\[=\frac{200}{10\sqrt{3}}=20\sqrt{3}\]You need to login to perform this action.
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