We know that \(v = fλ\)
Putting the values,
\(\frac{3 \times 10^8}{\sqrt{6.25}} = f \times 20\times 10^{-3}\)
\(⇒ f = 6 \times 10^9 Hz\)
Let $ f: \mathbb{R} \to \mathbb{R} $ be a twice differentiable function such that $$ f''(x)\sin\left(\frac{x}{2}\right) + f'(2x - 2y) = (\cos x)\sin(y + 2x) + f(2x - 2y) $$ for all $ x, y \in \mathbb{R} $. If $ f(0) = 1 $, then the value of $ 24f^{(4)}\left(\frac{5\pi}{3}\right) $ is:
The main properties of waves are as follows –