Physics

Physics

Problem

Which one of the following correctly expresses the relation between frequency ν\nu and time period TT of a sound wave? a) ν=2πT\nu = \dfrac{2\pi}{T} b) ν=12T\nu = \dfrac{1}{2T} c) ν=1T\nu = \dfrac{1}{T} d) ν=60T\nu = \dfrac{60}{T}
Intuitive explanation

Frequency and period are inverse partners—they measure the same repetitive behavior from opposite angles. Period tells you how long one complete cycle takes; frequency counts how many cycles fit into one second. Since these describe the same oscillation, multiplying them together always gives you 1, which is the key insight for writing their relationship.

Intuitive explanation

Frequency and period are inverse partners—they measure the same repetitive behavior from opposite angles. Period tells you how long one complete cycle takes; frequency counts how many cycles fit into one second. Since these describe the same oscillation, multiplying them together always gives you 1, which is the key insight for writing their relationship.

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