Solved Examples

Q.1: Suppose you are grappling with an alternating current (AC) signal, and your measurements unveil a period of 0.02 seconds. Determine the frequency?

[Tex]Frequency (f) = \frac{1}{Period (T)} = \frac{1}{0.02s} = 50 Hz [/Tex]

The frequency of this AC signal amounts to 50 Hertz.

Q.2: Imagine you are studying a musical instrument’s sound production. You have gauged the speed of sound in air to be approximately 343 meters per second, and the wavelength of a specific note measures 0.7 meters. What is the frequency?

[Tex]Frequency (f) = \frac{Speed of Sound (c)}{Wavelength (λ)} = \frac{343 m/s}{ 0.7 m} = 490 Hz [/Tex]

The frequency of this musical note equates to 490 Hertz.

Q.3: Within the domain of telecommunications, radio waves play a pivotal role. Contemplate working with a radio signal characterized by a wavelength of 3 meters. Find the frequency.

[Tex]Frequency (f) = \frac{Speed of Light (c)}{Wavelength (λ)} = \frac{3 x 10^8 m/s}{ 3 m} = 100,000,000 Hz = 100 MHz [/Tex]

The frequency of this radio wave stands at 100 megahertz.

Q.4: Suppose you are provided a harmonic oscillator device of frequency 2Hz. How would you find its angular frequency?

Angular Frequency (ω) = 2π × Frequency (f)

Frequency (f) = 2 Hz

ω = 2π × 2 Hz = 4π radians per second

So, the angular frequency of this harmonic oscillator is 4π radians per second.

Q.5: Imagine that you are on a nice beach with your friend and seeing waves in water and you try to find the speed of waves. If you know the frequency and wavelength of those waves are 5Hz and 2m respectively. So how would you find speed of waves?

Using the formula: Wave Speed (v) = Frequency (f) × Wavelength (λ)

Frequency (f) = 5 Hz

Wavelength (λ) = 2 meters

v = 5 Hz × 2 meters = 10 meters per second

So, speed of these water waves is 10 meters per second

If you are doing engineering, studying physics, or electronics, you must have read the word frequency. It quantifies the repetitions of a recurring event within a specific timeframe. Although it appears straightforward, frequency carries significant implications across diverse domains, including electrical engineering, musical theory, and more. In this article, we will understand what is it, why it is used, and what terms are used for calculating frequency in an easy manner.