Focus \(f=10\ cm\)
\(\frac 1f=(μ−1)(\frac 1R−\frac {1}{−R})\)
\(\frac {1}{10}=\frac {1.5−1}{1}×\frac 2R\)
\(\frac {1}{10}=\frac {0.5×2}{R}\)
\(\frac {1}{10}=\frac 1R\)
\(R=10\ cm\)
So, the answer is \(10\ cm.\)
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:
Lenses that are made by combining two spherical transparent surfaces are called spherical lenses. In general, there are two kinds of spherical lenses. Lenses that are made by joining two spherical surfaces that bulge outward are convex lenses, whereas lenses that are made by joining two spherical surfaces that curve inward are concave lenses.