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How do we know that amplitude and frequency are directly proportional? I means re we supposed to know that?24.
Intensity ∝ (Amplitude)²
Intensity ∝ (Frequency)²
Intensity = (Amplitude)² × (Frequency)²
Amplitude of wave P = x₀
Frequncy of wave P = F
So intensity of wave P = x₀² * F² = (Fx₀)²
Amplitude of wave Q = 2x₀
Frequency of wave Q = F/2 , since only half a wave passes at time t₀
So intensity of wave Q = (2x₀)² * (F/2)² = 4x₀² × F²/4 = F²x₀² = (Fx₀)²
Intensity of both is (Fx₀)² so intensity of Q will also be I₀