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The maximum particle velocity in a wave motion is half the wave velocity. Then the amplitude of the wave is equal to
Options
(a) λ/4π
(b) 2λ/π
(c) λ/2π
(d) λ
Correct Answer:
λ/4π
Explanation:
For a wave, y = a sin [(2πvt/λ) – (2πx/λ)]
Here v = velocity of wave
.·. y = a sin [(2πvt/λ) – (2πx/λ)]
dy/dt = a (2πv/λ) cos [(2πvt/λ) – (2πx/λ)]
velocity = (2πav/λ) cos [(2πvt/λ) – (2πx/λ)]
Maximum velocity is obtained when
cos [(2πvt/λ) – (2πx/λ)] = 1
.·. v = (2πav/λ)
Then, v = v/2
(2πav/λ) = v/2 or a = λ/4π.
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Topics: Waves
(80)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- In Young’s double slit experiment, the locus of the point P lying in a plane
- Consider two nuclei of the same radioactive nuclide. One of the nuclei was created
- A parallel beam of light of wavelength λ is incident normally on a narrow slit
- A 220 volt and 1000 watt bulb is connected across a 110 volt mains supply.
- The number of beta particles emitted by a radioactive substance is twice the number
Topics: Waves (80)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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Since max. Particle velocity= aω
Wave velocity = ω/k
Acc to que
aω = 1/2 (ω/k)
Solving ,
a = 1/2k
Since k= 2π/ λ
Hence a = λ/4π