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The wave described by y = 0.25 sin (10 2πx – 2πt), where x and y are in meters and t in second is a wave travelling along the:
Options
(a) negative x direction with frequency 1 Hz.
(b) positive x direction with frequency π Hz and wavelength λ = 0.2 m.
(c) positive x direction with frequency 1 Hz and wavelength λ = 0.2 m.
(d) negative x direction with amplitude 0.25 m and wavelength λ = 0.2 m.
Correct Answer:
positive x direction with frequency 1 Hz and wavelength λ = 0.2 m.
Explanation:
y = 0.25 sin (10 2πx – 2πt) Comparing this equation with the standard wave equation
y = a sin (kx – ?t) We get, k = 10π
⇒ 2π / λ = 10π ⇒ λ = 0.2 m.
? = 2π or, 2πv = 2π ⇒ v = 1 Hz.
The sign insider the bracket is negative, hence the wave travels in +ve x-direction.
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Topics: Waves
(80)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- A wheel has moment of inertia 5 x 10⁻³ kgm² and is making 20 revolutions per sec
- Dimensions [ML⁻¹T⁻¹] are related with
- Two pendulums A and B are oscillating simultaneously with time period
- In an LCR circuit, capacitance is changed from C to 2C. For the resonant frequency
- Vessel A is filled with hydrogen while vessel B, whose volume is
Topics: Waves (80)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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