First slide

Electromagnetic waves and its nature

Question

The electric field associated with a propagating electromagnetic wave is described by the equation $E = E_{0} \sin (4 π \times 10^{6} x - 1.2 π \times 10^{15} t)$ volt/ meter , where x is in meter and t is second. The wavelength of the wave in the unit of $10^{- 7} m$ is

Easy

Solution

Here $E = E_{0} \sin (4 π \times 10^{6} x - 1.2 π \times 10^{15} t)$
Comparing it with the equation
$E = E_{0} \sin (k x - w t)$
We have $K = \frac{2 π}{λ} = 4 π \times 10^{6}$
$∴ λ = \frac{2 π}{4 π \times 10^{6}} = 5 \times 10^{- 7} m$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App