Jestliže je při vyšetření zjištěno, že ucho pacienta má při frekvenci 1 kHz práh slyšitelnosti 30 dB, které z následujících tvrzení je správnou interpretací tohoto vyšetření?
Správná odpověď je: B, C, D
Práh slyšitelnosti by měl odpovídat hladině intenzity zvuku L0 = 0 dB, ucho vyšetřovaného pacienta tak slyší hůře než zdravé ucho. Protože pro hladinu intenzity zvuku L platí L = 10 · log (I/I0), kdy I je intenzita tohoto zvuku a I0 = 10−12 W · m−2 je intenzita zvuku odpovídající prahu slyšení zdravého ucha, musí být v tomto případě dekadický logaritmus I/I0 rovný 3. Aby toto tvrzení platilo, musí být I = 10−9 W · m−2, protože
log (I/I0) = log (10−9/10−12) = log (103) = 3.
Intenzita zvuku, který tento pacient ještě slyší, je tedy 103 = 1 000× větší než intenzita zvuku, který ještě slyší zdravé ucho. Prahu slyšitelnosti pacienta tak odpovídá intenzita zvuku I = 10−9 W · m−2.
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