
A sound wave is vibrating at frequency $50\,Hz$ . What is its time period?
Answer
139.5k+ views
Hint: You can easily reach the solution to this question by simply recalling what is frequency, what is time period and how they both are related with each other. Point that should be noted is that vibration of a sound wave is a repeating event and thus, both the frequency and time period exist for it.
Complete step by step answer:
We will be trying to solve this question exactly as we guided in the hint section of the solution. We will first define what is frequency and what is time period, from there we can reach the relation between both of them quite easily.
We will define frequency first:
Frequency: Frequency is the number of times an event is repeated in a single second, that is, frequency is the count of occurrence of an event in a time duration of one second.
Now, let’s define time period:
Time period: Time period is the duration of time of a single cycle of a long, repeating event. In other words, time period is the time duration which a single bit of a repeating even takes to complete.
We can clearly see from the definitions that there is some relation between frequency and time period of an event, in fact, time period and frequency are reciprocal of each other, we can represent this relation mathematically as:
$T\, = \,\dfrac{1}{f}$
Where, $T$ is the time period of the repeating event and,
$f$ is the frequency of the repeating event.
We have been given the value of frequency of the vibration of sound wave as $f\, = \,50\,Hz$
Putting this in the relation of time period and frequency, we get:
$
T\, = \,\dfrac{1}{{50}}\,\operatorname{s} \\
T\, = \,0.02\,s \\
$
Hence, we can say that the time period of the sound wave is $0.02\,s$ .
Note: Many students only try to find the frequency of a sound wave using the wave equation of the sound wave, which is not given here, hence they get stuck. This is the most basic relation that you should remember to score easy and fast marks in any exam.
Complete step by step answer:
We will be trying to solve this question exactly as we guided in the hint section of the solution. We will first define what is frequency and what is time period, from there we can reach the relation between both of them quite easily.
We will define frequency first:
Frequency: Frequency is the number of times an event is repeated in a single second, that is, frequency is the count of occurrence of an event in a time duration of one second.
Now, let’s define time period:
Time period: Time period is the duration of time of a single cycle of a long, repeating event. In other words, time period is the time duration which a single bit of a repeating even takes to complete.
We can clearly see from the definitions that there is some relation between frequency and time period of an event, in fact, time period and frequency are reciprocal of each other, we can represent this relation mathematically as:
$T\, = \,\dfrac{1}{f}$
Where, $T$ is the time period of the repeating event and,
$f$ is the frequency of the repeating event.
We have been given the value of frequency of the vibration of sound wave as $f\, = \,50\,Hz$
Putting this in the relation of time period and frequency, we get:
$
T\, = \,\dfrac{1}{{50}}\,\operatorname{s} \\
T\, = \,0.02\,s \\
$
Hence, we can say that the time period of the sound wave is $0.02\,s$ .
Note: Many students only try to find the frequency of a sound wave using the wave equation of the sound wave, which is not given here, hence they get stuck. This is the most basic relation that you should remember to score easy and fast marks in any exam.
Recently Updated Pages
JEE Main Participating Colleges 2024 - A Complete List of Top Colleges

JEE Main Maths Paper Pattern 2025 – Marking, Sections & Tips

Sign up for JEE Main 2025 Live Classes - Vedantu

JEE Main 2025 Helpline Numbers - Center Contact, Phone Number, Address

JEE Main Course 2025 - Important Updates and Details

JEE Main 2025 Session 2 Form Correction (Closed) – What Can Be Edited

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

JEE Main Exam Marking Scheme: Detailed Breakdown of Marks and Negative Marking

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

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
