(A) Let $n$ be the frequency of tuning fork $C$. Given that the frequency of $A$ is $1.4 \%$ more than $C$, so $n_A = n + 0.014n = 1.014n$. Given that

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(A) Let $n$ be the frequency of tuning fork $C$. Given that the frequency of $A$ is $1.4 \%$ more than $C$, so $n_A = n + 0.014n = 1.014n$. Given that the frequency of $B$ is $2.6 \%$ less than $C$, so $n_B = n - 0.026n = 0.974n$. When $A$ and $B$ are sounded together, the number of beats produced per second is the difference in their frequencies: $|n_A - n_B| = 10$. Substituting the values: $1.014n - 0.974n = 10$. $0.04n = 10$. $n = \frac{10}{0.04} = \frac{1000}{4} = 250 \text{ Hz}$.

Class 11 Physics Waves Beats and Tuning fork

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The frequencies of two tuning forks $A$ and $B$ are respectively $1.4 \%$ more and $2.6 \%$ less than that of the tuning fork $C$. When $A$ and $B$ are sounded together, $10$ beats are produced in $1 \text{ s}$. The frequency of tuning fork $C$ is: (in $\text{ Hz}$)

MHT CET 2024 All MHT CET

A
$250$
B
$300$
C
$340$
D
$400$

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Class 11

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Waves

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Beats and Tuning fork

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It is possible to hear beats from two vibrating sources of frequency:

Easy

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Beats are produced with the help of two sound waves of amplitudes $3$ and $5$ units. The ratio of maximum to minimum intensity in the beats is

Medium

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Two perfectly identical wires are in unison. When the tension in one wire is increased by $1\%$,then on sounding them together $3$ beats are heard in $2 \,s$. The initial frequency of each wire is .... $\text{s}^{-1}$.

Easy

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Two tuning forks have frequencies $380 \, Hz$ and $384 \, Hz$ respectively. When they are sounded together,they produce $4 \, beats$ per second. After hearing the maximum sound,how long will it take to hear the minimum sound?

Medium

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Two sound waves with wavelengths $5.0\, m$ and $5.5\, m$ respectively,each propagate in a gas with velocity $330\, m/s$. We expect the following number of beats per second.

MediumAIPMT 2006

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The frequencies of two tuning forks $A$ and $B$ are respectively $1.4 \%$ more and $2.6 \%$ less than that of the tuning fork $C$. When $A$ and $B$ are sounded together, $10$ beats are produced in $1 \text{ s}$. The frequency of tuning fork $C$ is: (in $\text{ Hz}$)

Similar Questions

It is possible to hear beats from two vibrating sources of frequency:

Beats are produced with the help of two sound waves of amplitudes $3$ and $5$ units. The ratio of maximum to minimum intensity in the beats is

Two perfectly identical wires are in unison. When the tension in one wire is increased by $1\%$,then on sounding them together $3$ beats are heard in $2 \,s$. The initial frequency of each wire is .... $\text{s}^{-1}$.

Two tuning forks have frequencies $380 \, Hz$ and $384 \, Hz$ respectively. When they are sounded together,they produce $4 \, beats$ per second. After hearing the maximum sound,how long will it take to hear the minimum sound?

Two sound waves with wavelengths $5.0\, m$ and $5.5\, m$ respectively,each propagate in a gas with velocity $330\, m/s$. We expect the following number of beats per second.

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