(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 and Sound 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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Waves and Sound

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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 $\text{ Hz}$)

Similar Questions

Two sound waves of wavelengths $5 \ m$ and $6 \ m$ produce $30$ beats in $3 \ s$. The velocity of sound is .... $m/s$.

$A$ sound wave travels with a velocity of $300 \, m \, s^{-1}$ through a gas. $9$ beats are produced in $3 \, s$ when two waves pass through it simultaneously. If one of the waves has a wavelength of $2 \, m$, the wavelength of the other wave is ..... $m$.

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

The speed of sound in a gas,in which two waves of wavelength $1.0\, m$ and $1.02\, m$ produce $6$ beats per second,is approximately .... $m/s$

If two waves of the same amplitude,having frequencies $340 \ Hz$ and $335 \ Hz$,are moving in the same direction,then the time interval between two successive maxima formed (in seconds) is:

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