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A transverse progressive wave is given by the equation y = 2 cos [π (0.5x - 200t)], where x and y are in cm and t in sec. Which of the following statement is true for this wave
- a)Wavelength 2 cm and velocity 400 cm/sec
- b)Wavelength 2 cm and amplitude 2 cm
- c)Wavelength 4 cm and frequency 100 Hz
- d)Amplitude 2 cm and frequency 200 Hz
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A transverse progressive wave is given by the equation y = 2 cos [π...
(kx - ωt) ]. Here, k represents the wave number (measured in radians per unit distance) and ω represents the angular frequency (measured in radians per unit time).
To find the wavelength of the wave, we can use the formula:
wavelength = 2π/k
where 2π is the length of one complete cycle of the wave.
To find the frequency of the wave, we can use the formula:
frequency = ω/2π
where 2π is the length of one complete cycle of the wave.
To find the speed of the wave, we can use the formula:
speed = wavelength x frequency
Substituting the given values, we get:
wavelength = 2π/k = 2π/5 = 1.26 units (approx.)
frequency = ω/2π = 2/π = 0.64 units (approx.)
speed = wavelength x frequency = 1.26 x 0.64 = 0.81 units per unit time (approx.)
Therefore, the wavelength of the wave is approximately 1.26 units, the frequency is approximately 0.64 units, and the speed is approximately 0.81 units per unit time.
To find the wavelength of the wave, we can use the formula:
wavelength = 2π/k
where 2π is the length of one complete cycle of the wave.
To find the frequency of the wave, we can use the formula:
frequency = ω/2π
where 2π is the length of one complete cycle of the wave.
To find the speed of the wave, we can use the formula:
speed = wavelength x frequency
Substituting the given values, we get:
wavelength = 2π/k = 2π/5 = 1.26 units (approx.)
frequency = ω/2π = 2/π = 0.64 units (approx.)
speed = wavelength x frequency = 1.26 x 0.64 = 0.81 units per unit time (approx.)
Therefore, the wavelength of the wave is approximately 1.26 units, the frequency is approximately 0.64 units, and the speed is approximately 0.81 units per unit time.
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A transverse progressive wave is given by the equation y = 2 cos [π (0.5x - 200t)], where x and y are in cm and t in sec. Which of the following statement is true for this wavea)Wavelength 2 cm and velocity 400 cm/secb)Wavelength 2 cm and amplitude 2 cmc)Wavelength 4 cm and frequency 100 Hzd)Amplitude 2 cm and frequency 200 HzCorrect answer is option 'C'. Can you explain this answer?
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A transverse progressive wave is given by the equation y = 2 cos [π (0.5x - 200t)], where x and y are in cm and t in sec. Which of the following statement is true for this wavea)Wavelength 2 cm and velocity 400 cm/secb)Wavelength 2 cm and amplitude 2 cmc)Wavelength 4 cm and frequency 100 Hzd)Amplitude 2 cm and frequency 200 HzCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A transverse progressive wave is given by the equation y = 2 cos [π (0.5x - 200t)], where x and y are in cm and t in sec. Which of the following statement is true for this wavea)Wavelength 2 cm and velocity 400 cm/secb)Wavelength 2 cm and amplitude 2 cmc)Wavelength 4 cm and frequency 100 Hzd)Amplitude 2 cm and frequency 200 HzCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A transverse progressive wave is given by the equation y = 2 cos [π (0.5x - 200t)], where x and y are in cm and t in sec. Which of the following statement is true for this wavea)Wavelength 2 cm and velocity 400 cm/secb)Wavelength 2 cm and amplitude 2 cmc)Wavelength 4 cm and frequency 100 Hzd)Amplitude 2 cm and frequency 200 HzCorrect answer is option 'C'. Can you explain this answer?.
A transverse progressive wave is given by the equation y = 2 cos [π (0.5x - 200t)], where x and y are in cm and t in sec. Which of the following statement is true for this wavea)Wavelength 2 cm and velocity 400 cm/secb)Wavelength 2 cm and amplitude 2 cmc)Wavelength 4 cm and frequency 100 Hzd)Amplitude 2 cm and frequency 200 HzCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A transverse progressive wave is given by the equation y = 2 cos [π (0.5x - 200t)], where x and y are in cm and t in sec. Which of the following statement is true for this wavea)Wavelength 2 cm and velocity 400 cm/secb)Wavelength 2 cm and amplitude 2 cmc)Wavelength 4 cm and frequency 100 Hzd)Amplitude 2 cm and frequency 200 HzCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A transverse progressive wave is given by the equation y = 2 cos [π (0.5x - 200t)], where x and y are in cm and t in sec. Which of the following statement is true for this wavea)Wavelength 2 cm and velocity 400 cm/secb)Wavelength 2 cm and amplitude 2 cmc)Wavelength 4 cm and frequency 100 Hzd)Amplitude 2 cm and frequency 200 HzCorrect answer is option 'C'. Can you explain this answer?.
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