
A tuning fork $A$ of frequency $512\,Hz$ produces $5$ beats per second when sounded with another tuning fork $B$ of unknown frequency. If $B$ is located with wax the number of beats is again $5$ per second. The frequency of the tuning fork $B$ before it was loaded is
(A) $502\,Hz$
(B) $507\,Hz$
(C) $517\,Hz$
(D) $522\,Hz$
Answer
139.8k+ views
HintThe frequency of $B$ is equal to the sum of the frequency of the $A$ and the number of beats produced from the frequency of $A$. And then the condition is given, the $B$ is located in the wax and again $5$ per second. By sing this condition, the frequency of $B$ is determined.
Complete step by step solution
Given that,
The tuning fork $A$ of frequency is, $n = 512\,Hz$,
The tuning fork of $A$ produces the beats of, $m = 5$.
Then the tuning fork $B$ is placed in the wax and again $5$ beats per second.
Now, the frequency of $B$ is given by,
$n' = n \pm m\,.....................\left( 1 \right)$
Where, $n'$ is the frequency of the tuning fork $B$.
By substituting the frequency of $A$ and the number of beats produced by the frequency of $A$ in the equation (1), then
$n' = 512 \pm 5$
By adding and subtracting the terms in the above equation, then the above equation is written as,
$n' = 517$ or $n' = 507$
On loading the tuning fork $B$, the frequency decreases from $517$ to $507$, so that the number of beats per second remains $5$.
Thus, the frequency of the tuning fork $B$ before it was loaded is $517\,Hz$.
Hence, the option (C) is the correct answer.
Note A tuning fork $A$ of frequency $512\,Hz$ produces $5$ beats per second when sounded with another tuning fork $B$ of unknown frequency. If $B$ is located with wax the number of beats is again $5$ per second. The frequency of the tuning fork $B$ before it was loaded is $517\,Hz$.
Complete step by step solution
Given that,
The tuning fork $A$ of frequency is, $n = 512\,Hz$,
The tuning fork of $A$ produces the beats of, $m = 5$.
Then the tuning fork $B$ is placed in the wax and again $5$ beats per second.
Now, the frequency of $B$ is given by,
$n' = n \pm m\,.....................\left( 1 \right)$
Where, $n'$ is the frequency of the tuning fork $B$.
By substituting the frequency of $A$ and the number of beats produced by the frequency of $A$ in the equation (1), then
$n' = 512 \pm 5$
By adding and subtracting the terms in the above equation, then the above equation is written as,
$n' = 517$ or $n' = 507$
On loading the tuning fork $B$, the frequency decreases from $517$ to $507$, so that the number of beats per second remains $5$.
Thus, the frequency of the tuning fork $B$ before it was loaded is $517\,Hz$.
Hence, the option (C) is the correct answer.
Note A tuning fork $A$ of frequency $512\,Hz$ produces $5$ beats per second when sounded with another tuning fork $B$ of unknown frequency. If $B$ is located with wax the number of beats is again $5$ per second. The frequency of the tuning fork $B$ before it was loaded is $517\,Hz$.
Recently Updated Pages
Average fee range for JEE coaching in India- Complete Details

Difference Between Rows and Columns: JEE Main 2024

Difference Between Length and Height: JEE Main 2024

Difference Between Natural and Whole Numbers: JEE Main 2024

Algebraic Formula

Difference Between Constants and Variables: JEE Main 2024

Trending doubts
JEE Main 2025 Session 2: Application Form (Out), Exam Dates (Released), Eligibility, & More

JEE Main 2025: Derivation of Equation of Trajectory in Physics

Learn About Angle Of Deviation In Prism: JEE Main Physics 2025

Electric Field Due to Uniformly Charged Ring for JEE Main 2025 - Formula and Derivation

JEE Main 2025: Conversion of Galvanometer Into Ammeter And Voltmeter in Physics

Degree of Dissociation and Its Formula With Solved Example for JEE

Other Pages
Units and Measurements Class 11 Notes: CBSE Physics Chapter 1

JEE Advanced Marks vs Ranks 2025: Understanding Category-wise Qualifying Marks and Previous Year Cut-offs

NCERT Solutions for Class 11 Physics Chapter 1 Units and Measurements

Motion in a Straight Line Class 11 Notes: CBSE Physics Chapter 2

Important Questions for CBSE Class 11 Physics Chapter 1 - Units and Measurement

NCERT Solutions for Class 11 Physics Chapter 2 Motion In A Straight Line
