In Q. 40 , the angular frequency of e.m.f. wave will be (in rad / s) (A) 8 π×10^7 (B) 4 π×10^6 (

Name: Problem 43, Chapter 17: A Complete Resource Book in Physics for JEE Main
Uploaded: 2021-09-25T12:45:45-08:00
Duration: 1 min 4 s
Channel: Narayan Hari
Description: In Q. 40 , the angular frequency of e.m.f. wave will be (in rad / s) (A) 8 π×10^7 (B) 4 π×10^6 (C) 4 π×10^5 (D) 8 π×10^4

step 1 As we know that the formula for omega is equal to 2 pi f and F is given as 4 multiplication 10 t

Question

In Q. 40 , the angular frequency of e.m.f. wave will be (in $\mathrm{rad} / \mathrm{s})$ (A) $8 \pi \times 10^{7}$ (B) $4 \pi \times 10^{6}$ (C) $4 \pi \times 10^{5}$ (D) $8 \pi \times 10^{4}$

   In Q. 40 , the angular frequency of e.m.f. wave will be (in $\mathrm{rad} / \mathrm{s})$
(A) $8 \pi \times 10^{7}$
(B) $4 \pi \times 10^{6}$
(C) $4 \pi \times 10^{5}$
(D) $8 \pi \times 10^{4}$

A Complete Resource Book in Physics for JEE Main

Sanjeev Kumar 1st Edition

Chapter 17, Problem 43

Instant Answer

Solved by Expert Narayan Hari

09/25/2021

Step 1

Step 1: We know that the formula for angular frequency (denoted by $\omega$) is given by $\omega = 2\pi f$, where $f$ is the frequency of the wave. Show more…

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In Q. 40 , the angular frequency of e.m.f. wave will be (in $\mathrm{rad} / \mathrm{s})$ (A) $8 \pi \times 10^{7}$ (B) $4 \pi \times 10^{6}$ (C) $4 \pi \times 10^{5}$ (D) $8 \pi \times 10^{4}$

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Key Concepts

Frequency and Period of Oscillations

Frequency refers to the number of cycles an oscillatory phenomenon completes per second, measured in hertz (Hz), while the period is the duration of one complete cycle. The connection between period (T) and frequency (f) is expressed as f = 1/T, and subsequently, angular frequency is derived using the formula ? = 2?f. This relationship is fundamental when analyzing waveforms such as alternating currents or electromagnetic waves.

Angular Frequency

Angular frequency represents how quickly an oscillatory quantity, such as a sinusoidal waveform, completes a cycle in terms of radians per second. It is defined by the relation ? = 2?f, where f is the frequency measured in hertz. This concept is essential for understanding the dynamics of periodic functions in various fields, including electronics and wave mechanics.

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