Step 1: Understanding vibration speed in colour theory
In physics, colours are associated with light waves, which vary in frequency and wavelength.
Vibration speed is related to frequency — higher frequency means faster vibration.
Step 2: Order of colours by frequency (from low to high)
Red < Orange < Yellow < Green < Blue < Indigo < Violet (Purple)
So, Violet or Purple has the highest frequency (and therefore the highest vibration speed).
Step 3: Evaluating options
(A) Blue $\Rightarrow$ High frequency, but not the highest.
(B) Purple $\Rightarrow$ Correct. Violet (Purple) has the maximum frequency.
(C) Green $\Rightarrow$ Medium frequency, lower than blue and purple.
(D) Black $\Rightarrow$ Black is the absence of light, not a vibrating light wave.
\[
\boxed{\text{Correct Answer: (B) Purple}}
\]
Find the unknown frequency if 24 is the median of the following frequency distribution:
\[\begin{array}{|c|c|c|c|c|c|} \hline \text{Class-interval} & 0-10 & 10-20 & 20-30 & 30-40 & 40-50 \\ \hline \text{Frequency} & 5 & 25 & 25 & \text{$p$} & 7 \\ \hline \end{array}\]
Two concentric circles are of radii $8\ \text{cm}$ and $5\ \text{cm}$. Find the length of the chord of the larger circle which touches (is tangent to) the smaller circle.