378,818 views
15 votes
15 votes
Two sounds of 610Hz and 620Hz are played together. The frequency you hear will be ___. The beat frequency is ___

User Sticky Bit
by
2.8k points

1 Answer

22 votes
22 votes

Step-by-step explanation

The beat frequency is equal to the complete value of the alteration in the frequency of the two waves,it can be calculated by using the expression


f_(beat)=\lvert{{f_1}-f_2}\rvert

so

Step 1

a)let


\begin{gathered} f_1=610\text{ Hz} \\ f_2=620\text{ Hz} \end{gathered}

b) replace and calculate


\begin{gathered} f_(beat)=\lvert{{f_1}-f_2}\rvert \\ f_(beat)=\lvert610\text{ Hz-620Hz}\rvert \\ f_(beat)=10\text{ Hz} \end{gathered}

so

the beat frequency is 10 HZ

Step 2

the frequency yuo will detect is the difference of the frequency, so , teh frequency beat, so

the frequency you hear will be 10 Hz

I hope this helps you

User Verbatus
by
3.7k points