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A wave is represented by the equation:
y = A sin (10πx + 15πt + π/3)
where x is in m and t is in s
The expression represents
  • a)
    a wave travelling in the positive x-direction with a velocity 1.5 m/s
  • b)
    a wave travelling in the negative x-direction with a velocity 1.5 m/s
  • c)
    a wave travelling in the negative x-direction with a wavelength of 0.2 m
  • d)
    a wave travelling in the positive x-direction with a wavelength of 0.2 m
Correct answer is option 'B,C'. Can you explain this answer?
Most Upvoted Answer
A wave is represented by the equation:y = A sin (10πx + 15πt + π/3)wh...
ω = 15π, k = 10π
Speed of wave,v = ω/k = 1.5 m/s
Wavelength of wave λ = 2π/k = 2π/10π = 0.2 m
10πx and 15πt have the same sign. Therefore, wave is travelling in negative x-direction.
Correct options are (2) and (3).
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A wave is represented by the equation:y = A sin (10πx + 15πt + π/3)where x is in m and t is in sThe expression representsa)a wave travelling in the positive x-direction with a velocity 1.5 m/sb)a wave travelling in the negative x-direction with a velocity 1.5 m/sc)a wave travelling in the negative x-direction with a wavelength of 0.2 md)a wave travelling in the positive x-direction with a wavelength of 0.2 mCorrect answer is option 'B,C'. Can you explain this answer?
Question Description
A wave is represented by the equation:y = A sin (10πx + 15πt + π/3)where x is in m and t is in sThe expression representsa)a wave travelling in the positive x-direction with a velocity 1.5 m/sb)a wave travelling in the negative x-direction with a velocity 1.5 m/sc)a wave travelling in the negative x-direction with a wavelength of 0.2 md)a wave travelling in the positive x-direction with a wavelength of 0.2 mCorrect answer is option 'B,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 wave is represented by the equation:y = A sin (10πx + 15πt + π/3)where x is in m and t is in sThe expression representsa)a wave travelling in the positive x-direction with a velocity 1.5 m/sb)a wave travelling in the negative x-direction with a velocity 1.5 m/sc)a wave travelling in the negative x-direction with a wavelength of 0.2 md)a wave travelling in the positive x-direction with a wavelength of 0.2 mCorrect answer is option 'B,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 wave is represented by the equation:y = A sin (10πx + 15πt + π/3)where x is in m and t is in sThe expression representsa)a wave travelling in the positive x-direction with a velocity 1.5 m/sb)a wave travelling in the negative x-direction with a velocity 1.5 m/sc)a wave travelling in the negative x-direction with a wavelength of 0.2 md)a wave travelling in the positive x-direction with a wavelength of 0.2 mCorrect answer is option 'B,C'. Can you explain this answer?.
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