AIPMT MAIN2008Physics-Waves

AIPMT MAIN 2008 Physics Wave Equation MCQ Question

Type: MCQ-conceptual-Medium-Class 11

The wave described by y = 0.25 sin(10 πx - 2 πt), where x and y are in meters and t in seconds, is a wave travelling along the

A

-ve x direction with amplitude 0.25 m and wavelength λ = 0.2 m

B

-ve x direction with frequency 1 Hz

C

+ve x direction with frequency π Hz and wavelength λ = 0.2 m

D

+ve x direction with frequency 1 Hz and wavelength λ = 0.2 m

Correct Answer

Option D

Detailed Explanation

The wave equation y = A sin(kx - ωt) represents a wave traveling in the +ve x direction. Here, k = 10π and ω = 2π, giving λ = 2π/k = 0.2 m and frequency f = ω/2π = 1 Hz.

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