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One dimensional wave equation is
- a)
- b)
- c)
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
One dimensional wave equation isa)b)c)d)None of theseCorrect answer is...
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.
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.
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.
Most Upvoted Answer
One dimensional wave equation isa)b)c)d)None of theseCorrect answer is...
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.
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.
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.
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One dimensional wave equation isa)b)c)d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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One dimensional wave equation isa)b)c)d)None of theseCorrect 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 One dimensional wave equation isa)b)c)d)None of theseCorrect 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 One dimensional wave equation isa)b)c)d)None of theseCorrect answer is option 'A'. Can you explain this answer?.
One dimensional wave equation isa)b)c)d)None of theseCorrect 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 One dimensional wave equation isa)b)c)d)None of theseCorrect 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 One dimensional wave equation isa)b)c)d)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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