Question:
Which of the following equations represents a travelling wave ?
$y=\operatorname{Asin}(15 x-2 t)$
$\mathrm{y}=\mathrm{Ae}^{-x^{2}}(v t+\theta)$
$\mathrm{y}=\operatorname{Ae}^{x} \cos (\omega t-\theta)$
$y=A \sin x \cos \omega t$
Correct Option: 1
Solution:
$\mathrm{y}=\mathrm{F}(\mathrm{x}, \mathrm{t})$
For travelling wave $y$ should be linear function of $\mathrm{x}$ and $\mathrm{t}$ and they must exist as $(\mathrm{x} \pm \mathrm{vt})$ $\mathrm{y}=A \sin (15 x-2 t) \rightarrow$ linear function in $\mathrm{x}$ and $\mathrm{t}$
Option (1) is correct.
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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,
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