Step 1: Understanding the Concept:
Electromagnetic (EM) waves are a form of energy that propagates through space. They are produced by the acceleration of electric charges. As predicted by Maxwell's equations, these waves consist of synchronized oscillations of electric and magnetic fields.
Step 2: Detailed Explanation:
Definition:
Electromagnetic waves are disturbances consisting of time-varying electric and magnetic fields that are perpendicular to each other and also perpendicular to the direction of propagation of the wave. This makes them transverse waves.
Characteristics of Electromagnetic Waves:
\begin{enumerate}
\item Transverse Nature: The electric field (\(\vec{E}\)) and magnetic field (\(\vec{B}\)) vectors are mutually perpendicular to each other and also perpendicular to the direction of wave propagation.
\item No Medium Required: They do not require a material medium for their propagation and can travel through a vacuum.
\item Speed in Vacuum: All electromagnetic waves travel through a vacuum at a constant speed, known as the speed of light, \(c \approx 3 \times 10^8\) m/s. The speed is given by the relation \(c = \frac{1}{\sqrt{\mu_0 \epsilon_0}}\), where \(\mu_0\) is the permeability and \(\epsilon_0\) is the permittivity of free space.
\item Energy and Momentum: They carry energy and momentum. The energy is shared equally between the oscillating electric and magnetic fields. When they strike a surface, they exert pressure, known as radiation pressure.
\item In-Phase Oscillation: The electric and magnetic fields oscillate in the same phase. They reach their maximum and minimum values at the same time and place.
\item Unaffected by External Fields: Since they are composed of oscillating fields and are not charged particles, they are not deflected by external static electric or magnetic fields.
\item Wave Phenomena: They exhibit all the properties of waves, such as reflection, refraction, interference, diffraction, and polarization.
\end{enumerate}
The path of scattered \( \alpha \)-particle is:
The maximum focal length of convex lens is for:
The power consumed in alternating current in a circuit containing only a capacitor will be:
The amplitude of the magnetic field of an electromagnetic wave in vacuum is \(B_0 = 510 \, \text{nT}\). What is the amplitude of the electric field of the wave?
What do you mean by the current sensitivity of a moving coil galvanometer? Resistance of a galvanometer is \( 50 \, \Omega \) and for full-scale deflection, the current is \( 0.05 \, \mathrm{A} \). What would be the required length of a wire to convert it into an ammeter of 5 A range? (Area of cross-section of wire = \( 2.7 \times 10^{-6} \, \mathrm{m^2} \), specific resistance of the wire material = \( 5.0 \times 10^{-7} \, \Omega \cdot \mathrm{m} \))