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Practice question

Question

A transverse wave on a string has a speed of 18 m/s and a frequency of 6 Hz. What is its wavelength?

Options

Choose one · Correct answer highlighted

Explanation

**Beat formation** is interference in time with time-varying amplitude. Frequencies close together generate slow modulation, count in given duration obtained by multiplying beat frequency by duration, e.g., 6 Hz × 5 s = 30 beats. Speed: v = v λ . Wavelength: λ = (v/v) = (18/6) = 3 m . Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields 3 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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