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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
- A coil of inductive reactance 31 Ω has a resistance of 8 Ω. It is placed in series
- The magnetic field due to a current carrying circular loop of radius 3 cm at a point
- When a spring is extended by 2 cm energy stored is 100 J. When extended further by 2 cm
- A radiactive substance emits 100 beta particles in the first 2s and 50 beta
- Number of electrons in one mC charge, given e=1.6×10⁻¹⁹ C, will be
Topics: Waves (80)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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