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 body projected vertically from the earth reaches a height equal to earth’s radius
2. A point charge is kept at the centre of a metallic insulated spherical shell. Then
3. The heat dissipated in a resistance can be obtained by measuring of resistance,
4. If the half-life of a material is 10 yr, then in what time, it becomes 1/4th part
5. A uniform force of (3i+j) Nacts on a particle of mass 2 kg.Hence the particle is displaced

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