(A) For a sonometer wire,the frequency $f$ is inversely proportional to the length $l$ of the wire,i.e.,$f \propto 1/l$ or $f \cdot l = k$ (constant).

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

(A) For a sonometer wire,the frequency $f$ is inversely proportional to the length $l$ of the wire,i.e.,$f \propto 1/l$ or $f \cdot l = k$ (constant).Let the frequencies of the two tuning forks be $f_1$ and $f_2$.Given $f_1 \cdot 23 = f_2 \cdot 24 = k$.This implies $f_1 = k/23$ and $f_2 = k/24$.Since $f_1 > f_2$,the beat frequency is $f_1 - f_2 = 4$.Substituting the values: $k/23 - k/24 = 4$.Taking $k$ as common: $k(24 - 23) / (23 \cdot 24) = 4$.$k / 552 = 4 \implies k = 2208$.Now,$f_1 = 2208 / 23 = 96 \ Hz$.And $f_2 = 2208 / 24 = 92 \ Hz$.Thus,the frequencies are $96 \ Hz$ and $92 \ Hz$.

Class 11 Physics Waves and Sound Transverse Stationary Waves and Sonometer

Medium

Two tuning forks when sounded together produce $4$ beats per second. One of the forks is in unison with $23 \ cm$ length of a sonometer wire and the other with $24 \ cm$ length of the same wire. The frequencies of the two tuning forks are

MHT CET 2025 All MHT CET

A
$96 \ Hz, 92 \ Hz$
B
$92 \ Hz, 88 \ Hz$
C
$72 \ Hz, 68 \ Hz$
D
$48 \ Hz, 44 \ Hz$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Physics Questions

Chapter

Waves and Sound

Subtopic

Transverse Stationary Waves and Sonometer

Previous Year

MHT CET 2025 Paper All MHT CET years →

The tension in a wire is decreased by $19 \%$. The percentage decrease in frequency will be ......... $\%$

Medium

View Solution

$A$ uniform string resonates with a tuning fork at a maximum tension of $32 \,N$. If it is divided into two segments by placing a wedge at a distance one-fourth of the length from one end,then to resonate with the same frequency,the maximum value of tension for the string will be ........... $N$.

Medium

View Solution

If $n_{1}, n_{2}$ and $n_{3}$ are the fundamental frequencies of three segments into which a string is divided,then the original fundamental frequency $n$ of the string is given by

MediumAIPMT 2014

View Solution

$A$ steel wire is used to stretch a spring. An oscillating magnetic field drives the steel wire up and down. $A$ standing wave with three antinodes is created when the spring is stretched by $4.0\, cm$. What stretch of the spring produces a standing wave with two antinodes with the same frequency (in $, cm$)?

Difficult

View Solution

When tension $T$ is applied to a sonometer wire of length $l$, it vibrates with the fundamental frequency $n$. Keeping the setup same, when the tension is increased by $8 \,N$, the fundamental frequency becomes three times the earlier. The initial tension applied to the wire was: (in $\,N$)

MediumMHT CET 2022

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

Two tuning forks when sounded together produce $4$ beats per second. One of the forks is in unison with $23 \ cm$ length of a sonometer wire and the other with $24 \ cm$ length of the same wire. The frequencies of the two tuning forks are

Similar Questions

The tension in a wire is decreased by $19 \%$. The percentage decrease in frequency will be ......... $\%$

$A$ uniform string resonates with a tuning fork at a maximum tension of $32 \,N$. If it is divided into two segments by placing a wedge at a distance one-fourth of the length from one end,then to resonate with the same frequency,the maximum value of tension for the string will be ........... $N$.

If $n_{1}, n_{2}$ and $n_{3}$ are the fundamental frequencies of three segments into which a string is divided,then the original fundamental frequency $n$ of the string is given by

When tension $T$ is applied to a sonometer wire of length $l$, it vibrates with the fundamental frequency $n$. Keeping the setup same, when the tension is increased by $8 \,N$, the fundamental frequency becomes three times the earlier. The initial tension applied to the wire was: (in $\,N$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module