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Question

A transverse wave on a string has a speed of 15 m/s and a period of 0.05 s. What is its wavelength?

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Explanation

**Nature of wave** determines energy transfer mechanism. Longitudinal nature of sound explains propagation through fluids with density variations carrying energy, unlike transverse waves needing rigidity for restoring force. Frequency: v = (1/T) = (1/0.05) = 20 Hz . Wavelength: λ = (v/v) = (15/20) = 0.75 m . Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields 0.75 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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