A set of 14 tuning forks is arranged in a ser | vedclass

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

Question

(C) Let the frequencies of the $14$ tuning forks be in an arithmetic progression: $f_1, f_2, f_3, ..., f_{14}$.Given that each fork produces '$x$' bea

Vedclass · Accepted Answer

$6$

Vedclass · Answer

(C) Let the frequencies of the $14$ tuning forks be in an arithmetic progression: $f_1, f_2, f_3, ..., f_{14}$.Given that each fork produces '$x$' beats per second with the preceding one, the common difference is $d = x$.Thus, $f_n = f_1 + (n-1)x$.The last fork is an octave of the first, meaning $f_{14} = 2f_1$.Substituting $n=14$: $f_1 + 13x = 2f_1$, which implies $f_1 = 13x$.The frequency of the seventh fork is $f_7 = f_1 + 6x = 114 	ext{ Hz}$.Substituting $f_1 = 13x$ into the equation: $13x + 6x = 114$.$19x = 114$.$x = 114 / 19 = 6$.Therefore, the value of $x$ is $6$.

$A$ set of $14$ tuning forks is arranged in a series of increasing frequencies. Each fork produces '$x$' beats per second with the preceding fork and the last fork is an octave of the first fork. If the seventh fork has the frequency of $114 \text{ Hz}$, the value of $x$ is

Similar Questions

Two tuning forks have frequencies $450\, Hz$ and $454\, Hz$ respectively. On sounding these forks together,the time interval between successive maximum intensities will be .... $sec$

Two tuning forks when sounded together produce $4$ beats/sec. The frequency of one fork is $256 \, Hz$. The number of beats heard increases when the fork of frequency $256 \, Hz$ is loaded with wax. The frequency of the other fork is (in $, Hz$)

The beats are produced when there is a superposition of two sound waves which have:

Two tuning forks of frequencies $256 \ Hz$ and $258 \ Hz$ are sounded together. The time interval between two consecutive maxima is (in $s$)

Two identical wires have a fundamental frequency $f_0$ when kept under the same tension $T$. If the tension of one wire is increased by $\Delta T$, then $N$ beats occur when both wires oscillate simultaneously. Find the expression for $\frac{\Delta T}{T}$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module