Two sitar strings,A and B,playing the note 'D | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Given: Frequency of string $A$,$n_A = 425 \, Hz$. Initial beat frequency $x_1 = 5 \, Hz$.Beat frequency is given by $|n_A - n_B| = 5 \, Hz$. This

Vedclass · Accepted Answer

$420$

Vedclass · Answer

(D) Given: Frequency of string $A$,$n_A = 425 \, Hz$. Initial beat frequency $x_1 = 5 \, Hz$.Beat frequency is given by $|n_A - n_B| = 5 \, Hz$. This implies $n_B$ could be $420 \, Hz$ or $430 \, Hz$.When the tension of string $B$ is increased,its frequency $n_B$ increases because $n \propto \sqrt{T}$.Case $1$: If $n_B = 420 \, Hz$,increasing tension increases $n_B$. As $n_B$ approaches $n_A$ $(425 \, Hz)$,the beat frequency $|n_A - n_B|$ decreases. This matches the observation that the beat frequency decreased to $3 \, Hz$.Case $2$: If $n_B = 430 \, Hz$,increasing tension increases $n_B$ further away from $n_A$ $(425 \, Hz)$,which would increase the beat frequency. This contradicts the observation.Therefore,the original frequency of $B$ must be $420 \, Hz$.

Similar Questions

Two tuning forks $F_1$ and $F_2$ produce $6$ beats per second when sounded together. The frequency of $F_1$ is $256 \ Hz$. When wax is applied to $F_2$,the number of beats per second remains $6$. What is the frequency of $F_2$ in $Hz$?

The frequencies of two sound sources are $256 \text{ Hz}$ and $260 \text{ Hz}$. At $t = 0$,the intensity of sound is maximum. Then the phase difference at the time $t = \frac{1}{16} \text{ s}$ will be

An observer while going on a scooter hears the sound of two sirens of the same frequency from two opposite directions. If he travels along the direction of one of the sirens,then he:

When two sound waves are superimposed,beats are produced when they have

The wavelengths of two notes in air are $\frac{36}{195} \,m$ and $\frac{36}{193} \,m$. Each note produces $10$ beats per second separately with a third note of fixed frequency. The velocity of sound in air in $m/s$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module