41 tuning forks are arranged in increasing or | vedclass

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

Question

(B) Let the frequency of the $1^{	ext{st}}$ tuning fork be $n_1$.The frequencies are in an arithmetic progression with common difference $d = 5 	ext

Vedclass · Accepted Answer

$200, 400 	ext{ Hz}$

Vedclass · Answer

(B) Let the frequency of the $1^{	ext{st}}$ tuning fork be $n_1$.The frequencies are in an arithmetic progression with common difference $d = 5 	ext{ Hz}$.The frequency of the $41^{	ext{st}}$ tuning fork is given by $n_{41} = n_1 + (41 - 1) 	imes d$.$n_{41} = n_1 + 40 	imes 5 = n_1 + 200$.Given that the frequency of the last fork is double the first,$n_{41} = 2n_1$.Substituting this into the equation: $2n_1 = n_1 + 200$.Solving for $n_1$: $n_1 = 200 	ext{ Hz}$.Therefore,$n_{41} = 2 	imes 200 = 400 	ext{ Hz}$.

$41$ tuning forks are arranged in increasing order of frequency such that each produces $5 \text{ beats/second}$ with the next tuning fork. If the frequency of the last tuning fork is double that of the frequency of the first fork,then the frequency of the first and last fork is:

Similar Questions

When two waves of almost equal frequencies $n_1$ and $n_2$ reach a point simultaneously,what is the time interval between successive maxima?

$A$ pair of tuning forks produces $2$ beats in a time interval of $0.4 \ s$. The beat frequency is .... $Hz$.

The disc of a siren containing $60$ holes rotates at a constant speed of $360\,rpm$. The emitted sound is in unison with a tuning fork of frequency .... $Hz$

Beats are produced by two waves given by $y_{1} = a \sin(2000 \pi t)$ and $y_{2} = a \sin(2008 \pi t)$. The number of beats heard per second is

$A$ tuning fork $A$ of unknown frequency produces $5 \, beats/s$ with a fork of known frequency $340 \, Hz$. When fork $A$ is filed,the beat frequency decreases to $2 \, beats/s$. What is the frequency of fork $A$ in $Hz$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module