$A$ beam of white light falling on a glass prism gets split up into seven colours marked $1$ to $7$ as shown in the diagram. $A$ student makes the following statements about the spectrum observed on the screen.
$(a)$ The colours at position marked $3$ and $5$ are similar to the colour of the core of a hard-boiled egg and the colour of the sky respectively. Is the statement made by the student correct or incorrect? Justify.
$(b)$ Which of the two positions correspond closely to the colour of $(i)$ a solution of potassium permanganate,$(ii)$ danger or stop signal lights?

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(N/A) The colours at positions $3$ and $5$ are yellow and blue respectively. The student has identified them as yellow (i.e.,colour of the core of a hard-boiled egg) and blue (i.e.,colour of the sky) respectively. Hence,the statement is correct.
$(b)$ $(i)$ Position $7$ is the position of violet colour,which corresponds to the colour of a solution of potassium permanganate.
$(ii)$ Position $1$ is the position of red colour,which corresponds to the colour of danger or stop signal lights.

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