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Two waves, each of amplitude 1.5 mm and frequency 10 Hz, are travelling in opposite direction with a speed of 20 mm/s. The distance in mm between adjacent nodes is :
- a)1.0
- b)1.2
- c)1.5
- d)2.0
Correct answer is option 'A'. Can you explain this answer?
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Two waves, each of amplitude 1.5 mm and frequency 10 Hz, are travellin...
Given:
Amplitude of each wave (A) = 1.5 mm
Frequency of each wave (f) = 10 Hz
Speed of waves (v) = 20 mm/s
To find:
Distance between adjacent nodes
Solution:
Frequency and Wavelength:
The frequency (f) of a wave is the number of complete oscillations or cycles it makes in one second. The wavelength (λ) is the distance between two adjacent points in the same phase of the wave.
The relationship between frequency, wavelength, and wave speed is given by the formula:
v = f * λ
Calculating Wavelength:
Given that the speed of waves (v) is 20 mm/s and the frequency (f) is 10 Hz, we can rearrange the formula to find the wavelength (λ).
λ = v / f
= 20 mm/s / 10 Hz
= 2 mm
Therefore, the wavelength of each wave is 2 mm.
Distance between Adjacent Nodes:
Nodes are the points in a standing wave where the amplitude is always zero. The distance between adjacent nodes is equal to half the wavelength.
So, the distance between adjacent nodes is given by:
Distance between adjacent nodes = λ / 2
= 2 mm / 2
= 1 mm
Therefore, the distance between adjacent nodes is 1 mm.
Conclusion:
The correct answer is option 'A' (1.0 mm). The distance between adjacent nodes in the given system of waves is 1.0 mm.
Amplitude of each wave (A) = 1.5 mm
Frequency of each wave (f) = 10 Hz
Speed of waves (v) = 20 mm/s
To find:
Distance between adjacent nodes
Solution:
Frequency and Wavelength:
The frequency (f) of a wave is the number of complete oscillations or cycles it makes in one second. The wavelength (λ) is the distance between two adjacent points in the same phase of the wave.
The relationship between frequency, wavelength, and wave speed is given by the formula:
v = f * λ
Calculating Wavelength:
Given that the speed of waves (v) is 20 mm/s and the frequency (f) is 10 Hz, we can rearrange the formula to find the wavelength (λ).
λ = v / f
= 20 mm/s / 10 Hz
= 2 mm
Therefore, the wavelength of each wave is 2 mm.
Distance between Adjacent Nodes:
Nodes are the points in a standing wave where the amplitude is always zero. The distance between adjacent nodes is equal to half the wavelength.
So, the distance between adjacent nodes is given by:
Distance between adjacent nodes = λ / 2
= 2 mm / 2
= 1 mm
Therefore, the distance between adjacent nodes is 1 mm.
Conclusion:
The correct answer is option 'A' (1.0 mm). The distance between adjacent nodes in the given system of waves is 1.0 mm.
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Two waves, each of amplitude 1.5 mm and frequency 10 Hz, are travelling in opposite direction with a speed of 20 mm/s. The distance in mm between adjacent nodes is :a)1.0b)1.2c)1.5d)2.0Correct answer is option 'A'. Can you explain this answer?
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Two waves, each of amplitude 1.5 mm and frequency 10 Hz, are travelling in opposite direction with a speed of 20 mm/s. The distance in mm between adjacent nodes is :a)1.0b)1.2c)1.5d)2.0Correct answer is option 'A'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two waves, each of amplitude 1.5 mm and frequency 10 Hz, are travelling in opposite direction with a speed of 20 mm/s. The distance in mm between adjacent nodes is :a)1.0b)1.2c)1.5d)2.0Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two waves, each of amplitude 1.5 mm and frequency 10 Hz, are travelling in opposite direction with a speed of 20 mm/s. The distance in mm between adjacent nodes is :a)1.0b)1.2c)1.5d)2.0Correct answer is option 'A'. Can you explain this answer?.
Two waves, each of amplitude 1.5 mm and frequency 10 Hz, are travelling in opposite direction with a speed of 20 mm/s. The distance in mm between adjacent nodes is :a)1.0b)1.2c)1.5d)2.0Correct answer is option 'A'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two waves, each of amplitude 1.5 mm and frequency 10 Hz, are travelling in opposite direction with a speed of 20 mm/s. The distance in mm between adjacent nodes is :a)1.0b)1.2c)1.5d)2.0Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two waves, each of amplitude 1.5 mm and frequency 10 Hz, are travelling in opposite direction with a speed of 20 mm/s. The distance in mm between adjacent nodes is :a)1.0b)1.2c)1.5d)2.0Correct answer is option 'A'. Can you explain this answer?.
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Two waves, each of amplitude 1.5 mm and frequency 10 Hz, are travelling in opposite direction with a speed of 20 mm/s. The distance in mm between adjacent nodes is :a)1.0b)1.2c)1.5d)2.0Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Two waves, each of amplitude 1.5 mm and frequency 10 Hz, are travelling in opposite direction with a speed of 20 mm/s. The distance in mm between adjacent nodes is :a)1.0b)1.2c)1.5d)2.0Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Two waves, each of amplitude 1.5 mm and frequency 10 Hz, are travelling in opposite direction with a speed of 20 mm/s. The distance in mm between adjacent nodes is :a)1.0b)1.2c)1.5d)2.0Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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