Physics

Physics

Problem

A tuning fork produces a sound of frequency 256 Hz256\,\text{Hz} in air, where the speed of sound is 340 m/s340\,\text{m/s}. Calculate the wavelength of this sound. a) 0.75 m0.75\,\text{m} b) 0.21 m0.21\,\text{m} c) 1.33 m1.33\,\text{m} d) 1.41 m1.41\,\text{m}
Intuitive explanation

The core concept here is the relationship between wave speed, frequency, and wavelength—they're locked together by a simple equation. Since you know how fast the sound travels (vv) and how many times per second it oscillates (ff), you can find the physical distance between one peak and the next (λ\lambda). Think of it this way: if the wave travels 340 meters in one second and completes 256 cycles in that same second, each cycle must span a specific distance.

Intuitive explanation

The core concept here is the relationship between wave speed, frequency, and wavelength—they're locked together by a simple equation. Since you know how fast the sound travels (vv) and how many times per second it oscillates (ff), you can find the physical distance between one peak and the next (λ\lambda). Think of it this way: if the wave travels 340 meters in one second and completes 256 cycles in that same second, each cycle must span a specific distance.

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