1.

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

Answer»

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)}].



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