| ⇦ | 
| ⇨ |
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.
Related Questions: - A bullet of mass 0.05 kg moving with a speed of 80 m/s enters a wooden
- Two bodies A and B have masses 20 Kg and 5 Kg respectively. Each one is acted
- Wires A and B are made from the same material. A has twice the diameter and three times
- If a full wave rectifier circuit is operating from 50 Hz mains, the fundamental
- Ist law of thermadynamics is based on
Topics: Waves
(80)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- A bullet of mass 0.05 kg moving with a speed of 80 m/s enters a wooden
- Two bodies A and B have masses 20 Kg and 5 Kg respectively. Each one is acted
- Wires A and B are made from the same material. A has twice the diameter and three times
- If a full wave rectifier circuit is operating from 50 Hz mains, the fundamental
- Ist law of thermadynamics is based on
Topics: Waves (80)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
18000+ students are using NEETLab to improve their score. What about you?
Solve Previous Year MCQs, Mock Tests, Topicwise Practice Tests, Identify Weak Topics, Formula Flash cards and much more is available in NEETLab Android App to improve your NEET score.
Share this page with your friends
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