The wave described by y = 0.25 sin (10 2πx – 2πt), where x and y are in meters

⇦

⇨

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.

Related Questions:

1. A particle of mass 1 mg has the same wavelength as an electron moving with a velocity
2. The de-Broglie wavelength of neutron in thermal equilibrium at temperature T is
3. If the pressure of gas is increased from 1.01×10⁵ Pa to 1.165×10⁵ Pa and volume
4. A body is moving with velocity 30 m/s towards east. After 10 seconds its velocity
5. If in an experiment for determination of velocity of sound by resonance tube

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