Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > represents the equation fora)Vibration of a s...
Start Learning for Free
represents the equation for- a)Vibration of a stretched string
- b)Heat flow of a thin rod
- c)Motion of a projectile in a gravitational field
- d)Oscillation of a simple pendulum
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
represents the equation fora)Vibration of a stretched stringb)Heat flo...
Concept:
Wave equation:
It is a second-order linear partial differential equation for the description of waves (like mechanical waves).
The Partial Differential equation is given as,
For One-Dimensional equation,
where, A = α2, B = 0, C = -1
Put all the values in equation (1)
∴ 0 - 4(α2)(-1)
4α2 > 0.
So, this is a one-dimensional wave equation or vibration of stretched spring.
Additional Information
having A = α2, B = 0, C = 0
Put all the values in equation (1), we get 0 - 4(α2)(0) = 0, therefore it shows parabolic function.
So, this is a one-dimensional heat equation.
having A = 1, B = 0, C = 1
Put all the values in equation (1), we get 0 - 4(1)(1) = -4, therefore it shows elliptical function.
So, this is a two-dimensional heat equation.
Wave equation:
It is a second-order linear partial differential equation for the description of waves (like mechanical waves).
The Partial Differential equation is given as,
For One-Dimensional equation,
where, A = α2, B = 0, C = -1
Put all the values in equation (1)
∴ 0 - 4(α2)(-1)
4α2 > 0.
So, this is a one-dimensional wave equation or vibration of stretched spring.
Additional Information
having A = α2, B = 0, C = 0
Put all the values in equation (1), we get 0 - 4(α2)(0) = 0, therefore it shows parabolic function.
So, this is a one-dimensional heat equation.
having A = 1, B = 0, C = 1
Put all the values in equation (1), we get 0 - 4(1)(1) = -4, therefore it shows elliptical function.
So, this is a two-dimensional heat equation.
|
Explore Courses for Civil Engineering (CE) exam
|
|
Similar Civil Engineering (CE) Doubts
Top Courses for Civil Engineering (CE)View all
represents the equation fora)Vibration of a stretched stringb)Heat flow of a thin rodc)Motion of a projectile in a gravitational fieldd)Oscillation of a simple pendulumCorrect answer is option 'A'. Can you explain this answer?
Question Description
represents the equation fora)Vibration of a stretched stringb)Heat flow of a thin rodc)Motion of a projectile in a gravitational fieldd)Oscillation of a simple pendulumCorrect answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about represents the equation fora)Vibration of a stretched stringb)Heat flow of a thin rodc)Motion of a projectile in a gravitational fieldd)Oscillation of a simple pendulumCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for represents the equation fora)Vibration of a stretched stringb)Heat flow of a thin rodc)Motion of a projectile in a gravitational fieldd)Oscillation of a simple pendulumCorrect answer is option 'A'. Can you explain this answer?.
represents the equation fora)Vibration of a stretched stringb)Heat flow of a thin rodc)Motion of a projectile in a gravitational fieldd)Oscillation of a simple pendulumCorrect answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about represents the equation fora)Vibration of a stretched stringb)Heat flow of a thin rodc)Motion of a projectile in a gravitational fieldd)Oscillation of a simple pendulumCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for represents the equation fora)Vibration of a stretched stringb)Heat flow of a thin rodc)Motion of a projectile in a gravitational fieldd)Oscillation of a simple pendulumCorrect answer is option 'A'. Can you explain this answer?.
Solutions for represents the equation fora)Vibration of a stretched stringb)Heat flow of a thin rodc)Motion of a projectile in a gravitational fieldd)Oscillation of a simple pendulumCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of represents the equation fora)Vibration of a stretched stringb)Heat flow of a thin rodc)Motion of a projectile in a gravitational fieldd)Oscillation of a simple pendulumCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
represents the equation fora)Vibration of a stretched stringb)Heat flow of a thin rodc)Motion of a projectile in a gravitational fieldd)Oscillation of a simple pendulumCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for represents the equation fora)Vibration of a stretched stringb)Heat flow of a thin rodc)Motion of a projectile in a gravitational fieldd)Oscillation of a simple pendulumCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of represents the equation fora)Vibration of a stretched stringb)Heat flow of a thin rodc)Motion of a projectile in a gravitational fieldd)Oscillation of a simple pendulumCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice represents the equation fora)Vibration of a stretched stringb)Heat flow of a thin rodc)Motion of a projectile in a gravitational fieldd)Oscillation of a simple pendulumCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
|
|
Explore Courses for Civil Engineering (CE) exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup