Match the devices given in List I with their uses given in List II:
(1) A - h, B - g, C - e, D - f
(2) A - h, B - f, C - e, D - g
(3) A - h, B - g, C - f, D - e
(4) A - e, B - h, C - g, D - f
We are given a matching question where we need to match devices with their uses. Let's look at the devices and their corresponding uses:
1. A (Transistor): - A transistor is used for Amplification of signals. Hence, A - h (Amplifier).
2. B (Diode): - A diode is commonly used as a Rectifier, as it converts alternating current (AC) to direct current (DC). Hence, B - g (Rectifier).
3. C (Zener diode): - A Zener diode is used for Voltage Regulation, maintaining a stable voltage level. Hence, C - f (Voltage Regulator).
4. D (Capacitor): - A capacitor is used in Filter Circuits to smooth out voltage fluctuations and to filter signals. Hence, D - e (Filter Circuit). Thus, the correct matching is: - A - h (Transistor as an amplifier) - B - g (Diode as a rectifier) - C - f (Zener diode as a voltage regulator) - D - e (Capacitor as a filter circuit)
In Bohr model of hydrogen atom, if the difference between the radii of \( n^{th} \) and\( (n+1)^{th} \)orbits is equal to the radius of the \( (n-1)^{th} \) orbit, then the value of \( n \) is:
Given the function:
\[ f(x) = \frac{2x - 3}{3x - 2} \]
and if \( f_n(x) = (f \circ f \circ \ldots \circ f)(x) \) is applied \( n \) times, find \( f_{32}(x) \).