A plane electromagnetic wave of frequency $500 \mathrm{MHz}$ is travelling in vacuum along $\mathrm{y}$-direction. At a particular point in space and time, $\overrightarrow{\mathrm{B}}=8.0 \times 10^{-8} \hat{\mathrm{z}} \mathrm{T}$. The value of electric field at this point is :
$\left(\right.$ speed of light $=3 \times 10^{8} \mathrm{~ms}^{-1}$ )
$\hat{\mathrm{x}}, \hat{\mathrm{y}}, \hat{\mathrm{z}}$ are unit vectors along $\mathrm{x}, \mathrm{y}$ and $\mathrm{z}$ direction.
$-24 \hat{\mathrm{x}} \mathrm{V} / \mathrm{m}$
$2.6 \hat{\mathrm{x}} \mathrm{V} / \mathrm{m}$
$24 \hat{\mathrm{x}} \mathrm{V} / \mathrm{m}$
$-2.6 \hat{\mathrm{y}} \mathrm{V} / \mathrm{m}$
Correct Option: 1,
$f=5 \times 10^{8} \mathrm{~Hz}$
EM wave is travelling towards $+\hat{\mathrm{j}}$
$\overrightarrow{\mathrm{B}}=8.0 \times 10^{-8} \hat{\mathrm{z}} \mathrm{T}$
$\overrightarrow{\mathrm{E}}=\overrightarrow{\mathrm{B}} \times \overrightarrow{\mathrm{C}}=\left(8 \times 10^{-8} \hat{\mathrm{z}}\right) \times\left(3 \times 10^{8} \hat{\mathrm{y}}\right)$
$=-24 \hat{\mathrm{x}} \mathrm{V} / \mathrm{m}$
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All Study Material
- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
- Physics
- Motion in a Plane
- Law of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
- Thermal Properties of matter
- Thermodynamics
- Kinetic Theory
- Oscillations
- Waves
- Electric Charge and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Thermoelectric Effects of Electric Current
- Heating Effects of Electric Current
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Wave
- Ray Optics and Optical Instruments
- Wave Optics
- Dual Nature of Radiation and Matter
- Atoms
- Nuclei
- Semiconductor Electronics: Materials, Devices and Simple Circuits.
- Chemical Effects of Electric Current,