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 n-p-n transistor is connected in common emitter configuration in a given amplifier.
2. In the reaction ₉₂U²³⁴→₈₇Y²²², how many α-particle and β-particles are emitted
3. If the length of a closed organ pipe is 1.5 m and velocity of sound is 330 m/s,
4. When a magnet is taken towards a coil, the induced e.m.f. depends on
5. In depletion layer of unbiased P-N junction

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