Characteristics of EM Waves: JEE Questions & Solutions

The electric field in a plane electromagnetic wave is given by: E_y = 69 sin[0.6 × 10³ x - 1.8 × 10¹¹ t] V/m. The expression for magnetic…

The electric field of a plane electromagnetic wave, travelling in an unknown non-magnetic medium is given by, E_y = 20 sin (3 × 10⁶ x - 4.5…

A laser beam has intensity of 4.0×10¹⁴ W/m². The amplitude of magnetic field associated with the beam is T. (Take ε₀=8.85×10⁻¹² C²/N m² and…

The equation of the electric field of an electromagnetic wave propagating through free space is given by: E = √377 sin(6.27 × 10³ t - 2.09…

The ratio of speeds of electromagnetic waves in vacuum and a medium, having dielectric constant k = 3 and permeability of μ = 2μ₀, is (μ₀ =…

The electric field of an electromagnetic wave travelling through a medium is given by E(x,t)=25sin(2×10¹⁵t-10⁷x) n. Then the refractive…

A plane electromagnetic wave is moving in free space with velocity c=3×10⁸ m/s and its electric field is given as E = 54sin(kz-ω t) j V/m,…

The electric field of an electromagnetic wave in free space is E = 57 cos [7.5 × 10⁶ t - 5 × 10⁻³ (3x + 4y)] ( 4i - 3j) N/C. The associated…

A plane electromagnetic wave of frequency 20 MHz travels in free space along the +x direction. At a particular point in space and time, the…

Due to presence of an em-wave whose electric component is given by E = 100 sin(ω t - kx) NC⁻¹, a cylinder of length 200 cm holds certain…

The magnetic field of an E.M. wave is given by: B = ( √3/2 i + 1/2 j) 30 sin ( ω ( t - z/c)) The corresponding electric field in S.I. units…

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): Electromagnetic…

A plane electromagnetic wave propagates along the +x direction in free space. The components of the electric field E and magnetic field B…

The radiation pressure exerted by a 450 W light source on a perfectly reflecting surface placed at 2 m away from it, is:

If an optical medium possesses a relative permeability of 10/π and relative permittivity of 1/0.0885, then the velocity of light is greater…

The unit of √(2I/(ε₀ c)) is: (Where I is the intensity of an electromagnetic wave, and c is the speed of light)

A plane electromagnetic wave of frequency 35 MHz travels in free space along the X-direction. At a particular point (in space and time), E…

The electric field of an electromagnetic wave in free space is represented as E = E₀ cos(ω t - kz) i. The corresponding magnetic induction…

In a plane electromagnetic wave, the electric field oscillates sinusoidally at a frequency of 5 × 10¹⁰ Hz and an amplitude of 50 V/m. The…

The magnetic field in a plane electromagnetic wave is: B_y = (3.5 × 10⁻⁷) sin(1.5 × 10³ x + 0.5 × 10¹¹ t) T. The corresponding electric…

If E represents the electric field vector and K the propagation vector of electromagnetic waves in vacuum, then the magnetic field vector…

The electric field and magnetic field components of an electromagnetic wave going through vacuum is described by: Eₓ = E₀ sin (kz - ω t)…

An electromagnetic wave is transporting energy in the negative z-direction. At a certain point and certain time, the direction of the…

Which of the following are true? A. Speed of light in vacuum depends on the direction of propagation. B. Speed of light in a medium is…

Given below are two statements: Statement I: Electromagnetic waves are not deflected by electric and magnetic fields. Statement II: The…

A small object at rest absorbs a light pulse of power 20 mW and duration 300 ns. Assuming speed of light as 3 × 10⁸ m/s, the momentum of…

A point source of 100 W emits light with 5% efficiency. At a distance of 5 m from the source, the intensity produced by the electric field…

In a medium, the speed of light wave decreases to 0.2 times its speed in free space. The ratio of relative permittivity to the refractive…

The ratio of average electric energy density and total average energy density of electromagnetic wave is:

For the plane electromagnetic wave given by E = E₀ sin(ω t - kx) and B = B₀ sin(ω t - kx), the ratio of average electric energy density to…

The energy density associated with electric field E and magnetic field B of an electromagnetic wave in free space is given by ε₀ -…

The energy of an electromagnetic wave contained in a small volume oscillates with:

The amplitude of magnetic field in an electromagnetic wave propagating along y-axis is 6.0 × 10⁻⁷ T. The maximum value of electric field in…

The electric field in an electromagnetic wave is given as E = 20 sin ( ω t - x/c) j N/C where ω and c are angular frequency and velocity of…

A plane electromagnetic wave of frequency 20 MHz propagates in free space along x-direction. At a particular space and time, E = 6.6 j v/m.…

In an electromagnetic wave, at an instant and at a particular position, the electric field is along the negative z axis and magnetic field…