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The equation y = acos2(2πnt – 2πx/λ) represents a wave with
(a) amplitude a, frequency n and wavelength λ
(b) amplitude a, frequency 2n and wavelength 2λ
(c) amplitude a/2, frequency 2n and wavelength λ
(d) amplitude a/2, frequency 2n and wavelength λ/2
The equation y = acos2(2πnt – 2πx/λ) represents a wave with
(a) amplitude a, frequency n and wavelength λ
(b) amplitude a, frequency 2n and wavelength 2λ
(c) amplitude a/2, frequency 2n and wavelength λ
(d) amplitude a/2, frequency 2n and wavelength λ/2
Correct Answer is: (d) amplitude a/2, frequency 2n and wavelength λ/2
cos2θ = 1/2 (1 + cos 2θ)
∴ y = acos2 ( 2πnt – 2πx/λ) = 1/2 a [ 1 + cos { 2π(2n)t – 2πx/(λ/2)}].