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Question

A transverse wave on a string has a tension of 144 N and a linear mass density of 0.016 kg/m. What is
the wavelength if the frequency is 15 Hz?

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Explanation

**Wave addition** governed by phase difference determines resultant intensity ∝ A². Phase arises from path difference Δ = (2π/λ)·Δx, and resultant formula captures interference condition quantitatively for NCERT problems. Speed: v = √((T/μ)) = √((144/0.016)) = √(9000) ≈ 94.87 m/s . Wavelength: λ = (v/v) = (94.87/15) ≈ 6.32 m . Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields 6.32 m, illustrating frequency-length-speed interdependence and quantization by boundaries. This aligns with NCERT Class 11 treatment, emphasizing conservation, symmetry and dimensional consistency useful for CBSE, NEET and CUET.

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