
What is the wavelength if the time period of a wave is 1 millisecond and the velocity of the wave is 330m/s?
A) 33cm
B) 55cm
C) 44cm
D) 99cm
Answer
139.8k+ views
Hint: Wavelengths are often defined because the distance between two successive crests or troughs of a wave. it's measured within the direction of the wave. The duration in which a wave covers a distance equal to one wavelength is called one time period. Wave speed is the distance covered by the wave per unit time. Therefore, the wavelength of the wave can be found out by using the formula $n\lambda$ =v$ \times $T
Complete step by step solution:
The following equation is understood because the wavelength formula or the wavelength equation:
$n\lambda$ = $\dfrac{v}{f}$
$n\lambda$ = v$ \times $T (where ' v' is that the speed of the wave and 'f' is that the frequency of the wave; T=1/f)
Thus, Wavelength of the wave = Speed of the wave/ Frequency
$ \Rightarrow $ Wavelength of the wave = Speed of the wave$ \times $time period
in this question, if the speed of a wave is 330m/s and time period of the wave is 1 millisecond therefore, the frequency of the waves is
f=$\dfrac{1}{T}$$ = \dfrac{1}{{1 \times {{10}^{ - 3}}}} = 1000Hz$
$n\lambda$ = $\dfrac{v}{f}$
$ \Rightarrow n\lambda$ = v$ \times $T
$ \Rightarrow n\lambda$ =330$ \times $.001
$ \Rightarrow n\lambda$ =.33m
Note: Wavelength is that the distance from one crest to a different, or from one trough to a different , of a wave (which could also be an electromagnetic radiation , an acoustic wave , or the other wave). Crest is the highest point of the wave whereas the trough is the lowest. Since wavelength is distance/length, it's measured in units of lengths like metres, centimetres, millimeters, nanometres, etc.
Complete step by step solution:
The following equation is understood because the wavelength formula or the wavelength equation:
$n\lambda$ = $\dfrac{v}{f}$
$n\lambda$ = v$ \times $T (where ' v' is that the speed of the wave and 'f' is that the frequency of the wave; T=1/f)
Thus, Wavelength of the wave = Speed of the wave/ Frequency
$ \Rightarrow $ Wavelength of the wave = Speed of the wave$ \times $time period
in this question, if the speed of a wave is 330m/s and time period of the wave is 1 millisecond therefore, the frequency of the waves is
f=$\dfrac{1}{T}$$ = \dfrac{1}{{1 \times {{10}^{ - 3}}}} = 1000Hz$
$n\lambda$ = $\dfrac{v}{f}$
$ \Rightarrow n\lambda$ = v$ \times $T
$ \Rightarrow n\lambda$ =330$ \times $.001
$ \Rightarrow n\lambda$ =.33m
Note: Wavelength is that the distance from one crest to a different, or from one trough to a different , of a wave (which could also be an electromagnetic radiation , an acoustic wave , or the other wave). Crest is the highest point of the wave whereas the trough is the lowest. Since wavelength is distance/length, it's measured in units of lengths like metres, centimetres, millimeters, nanometres, etc.
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
Learn About Angle Of Deviation In Prism: JEE Main Physics 2025

Physics Average Value and RMS Value JEE Main 2025

Charging and Discharging of Capacitor

Electromagnetic Waves Chapter - Physics JEE Main

Collision - Important Concepts and Tips for JEE

A pressure of 100 kPa causes a decrease in volume of class 11 physics JEE_Main

Other Pages
NCERT Solutions for Class 11 Physics Chapter 4 Laws of Motion

NCERT Solutions for Class 11 Physics Chapter 7 Gravitation

NCERT Solutions for Class 11 Physics In Hindi Chapter 1 Physical World

NCERT Solutions for Class 11 Physics Chapter 14 Waves

JEE Advanced 2025 Notes

A water pump of 1 horse power is required to flow water class 11 physics JEE_Main
