A tuning fork of frequency 480 Hz produces 10 beats/s when sounded with a vibrating sonometer s

Name: Problem 1473, Chapter 10: JEE Physics
Uploaded: 2021-11-12T16:59:28-08:00
Duration: 1 min 31 s
Channel: Akshaya Rs
Description: A tuning fork of frequency 480 Hz produces 10 beats/s when sounded with a vibrating sonometer string. What must have been the frequency of the string if a slight increase in tension produces fewer beats per second than before? (A) 480 Hz (B) 490 Hz (C) 460 Hz (D) 470 Hz

step 1 In this question we will learn about some basic concept of the oscillation and waves, right? The

Question

A tuning fork of frequency $480 \mathrm{~Hz}$ produces 10 beats/s when sounded with a vibrating sonometer string. What must have been the frequency of the string if a slight increase in tension produces fewer beats per second than before? (A) $480 \mathrm{~Hz}$ (B) $490 \mathrm{~Hz}$ (C) $460 \mathrm{~Hz}$ (D) $470 \mathrm{~Hz}$

   A tuning fork of frequency $480 \mathrm{~Hz}$ produces 10 beats/s when sounded with a vibrating sonometer string. What must have been the frequency of the string if a slight increase in tension produces fewer beats per second than before?
(A) $480 \mathrm{~Hz}$
(B) $490 \mathrm{~Hz}$
(C) $460 \mathrm{~Hz}$
(D) $470 \mathrm{~Hz}$

JEE Physics

StemEZ 1st Edition

Chapter 10, Problem 1473

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Solved by Expert Akshaya Rs

11/12/2021

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A tuning fork of frequency $480 \mathrm{~Hz}$ produces 10 beats/s when sounded with a vibrating sonometer string. What must have been the frequency of the string if a slight increase in tension produces fewer beats per second than before? (A) $480 \mathrm{~Hz}$ (B) $490 \mathrm{~Hz}$ (C) $460 \mathrm{~Hz}$ (D) $470 \mathrm{~Hz}$

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Key Concepts

Beat Frequency

Beat frequency is the rate at which the amplitude of combined waves fluctuates when two waves of slightly different frequencies interfere. It is determined by taking the absolute difference between the two frequencies, and it serves as a tool for comparing and tuning oscillations in various physical contexts.

Vibrating String Frequency and Tension Relationship

The frequency at which a string vibrates is influenced by its tension, length, and mass per unit length. Increasing the tension of a string raises its fundamental frequency. This relationship is crucial in musical instruments and other applications where precise tuning is necessary, as small changes in tension can bring a string's frequency closer to or further from a reference frequency.

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