Part of JWAVE-02 — Waves: Standing Waves, Beats & Doppler Effect

Determining Unknown Frequency Using Beats

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Given: known fork f1f_1 and beat frequency n=f1f2n = |f_1 - f_2|. Unknown f2=f1±nf_2 = f_1 \pm n. To resolve ambiguity: (1) Load unknown fork with wax (decreases f2f_2). If beats increase: f2<f1f_2 < f_1 originally (wax moves it further from f1f_1). If beats decrease: f2>f1f_2 > f_1 (wax brings it closer to f1f_1). (2) File the unknown fork (increases f2f_2). If beats increase: f2>f1f_2 > f_1. If beats decrease: f2<f1f_2 < f_1. This is one of the most frequently tested beat problems in JEE.

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