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A transverse wave is represented by y = a sin (?t – kx). For what value of the wavelength is the wave velocity equal to the maximum particle velocity?
Options
(a) πA / 2
(b) π A
(c) 2π A
(d) A
Correct Answer:
2π A
Explanation:
y = A sin ( ?t – kx ) particle velocity,
vₚ = dy/ dt = A ? cos ( ?t – kx )
vₚ ₘₐₓ = A ? wave velocity = ? / k
A ? = ? / k i.e., A = 1/k But k = 2π / λ
λ = 2π A
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Topics: Waves
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Subject: Physics
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Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- The Kα X-ray of molybdenum has a wavelength of 71×10⁻¹² m. If the energy of a molybdenum
- A stationary particle explodes into two particles of masses m₁ and m₂ which move
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- At place on earth, the vertical component of earth’s magnetic field is √3 times
- The threshold wavelength for photoelectric effect of a metal is 6500 Å. The work function
Topics: Waves (80)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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