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The equation of displacement of 2 waves are given as vibe and equal to 10 sign 3 Pi day + Pi by 3 and Y2 equals 25935 + through 3 co urse pie what is the ratio of their amplituded?
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The equation of displacement of 2 waves are given as vibe and equal to...
Understanding Wave Displacement Equations
The displacement equations for the two waves are given as:
- Y1 = 10 sin(3πt + π/3)
- Y2 = 25 sin(3πt + π/4)
Both equations have the general form of a sinusoidal wave: A sin(ωt + φ), where A is the amplitude.
Identifying Amplitudes
- For Y1:
- Amplitude (A1) = 10
- For Y2:
- Amplitude (A2) = 25
Calculating the Ratio of Amplitudes
To find the ratio of the amplitudes of the two waves, we simply divide A1 by A2:
- Ratio of Amplitudes = A1 / A2
- Ratio = 10 / 25
Final Result
- The ratio simplifies to 2 / 5.
Conclusion
The ratio of the amplitudes of the two waves Y1 and Y2 is 2:5. This means that Y2 has a greater amplitude compared to Y1, indicating that the wave represented by Y2 carries more energy and has a larger peak displacement. Understanding the relationship between amplitude and wave energy is crucial in wave mechanics.
The displacement equations for the two waves are given as:
- Y1 = 10 sin(3πt + π/3)
- Y2 = 25 sin(3πt + π/4)
Both equations have the general form of a sinusoidal wave: A sin(ωt + φ), where A is the amplitude.
Identifying Amplitudes
- For Y1:
- Amplitude (A1) = 10
- For Y2:
- Amplitude (A2) = 25
Calculating the Ratio of Amplitudes
To find the ratio of the amplitudes of the two waves, we simply divide A1 by A2:
- Ratio of Amplitudes = A1 / A2
- Ratio = 10 / 25
Final Result
- The ratio simplifies to 2 / 5.
Conclusion
The ratio of the amplitudes of the two waves Y1 and Y2 is 2:5. This means that Y2 has a greater amplitude compared to Y1, indicating that the wave represented by Y2 carries more energy and has a larger peak displacement. Understanding the relationship between amplitude and wave energy is crucial in wave mechanics.
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The equation of displacement of 2 waves are given as vibe and equal to 10 sign 3 Pi day + Pi by 3 and Y2 equals 25935 + through 3 co urse pie what is the ratio of their amplituded?
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The equation of displacement of 2 waves are given as vibe and equal to 10 sign 3 Pi day + Pi by 3 and Y2 equals 25935 + through 3 co urse pie what is the ratio of their amplituded? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The equation of displacement of 2 waves are given as vibe and equal to 10 sign 3 Pi day + Pi by 3 and Y2 equals 25935 + through 3 co urse pie what is the ratio of their amplituded? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The equation of displacement of 2 waves are given as vibe and equal to 10 sign 3 Pi day + Pi by 3 and Y2 equals 25935 + through 3 co urse pie what is the ratio of their amplituded?.
The equation of displacement of 2 waves are given as vibe and equal to 10 sign 3 Pi day + Pi by 3 and Y2 equals 25935 + through 3 co urse pie what is the ratio of their amplituded? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The equation of displacement of 2 waves are given as vibe and equal to 10 sign 3 Pi day + Pi by 3 and Y2 equals 25935 + through 3 co urse pie what is the ratio of their amplituded? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The equation of displacement of 2 waves are given as vibe and equal to 10 sign 3 Pi day + Pi by 3 and Y2 equals 25935 + through 3 co urse pie what is the ratio of their amplituded?.
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