Answer
Verified
89.7k+ views
Hint In this question we are given the frequency of sound and its velocity. We have to find the change in velocity when its frequency becomes four fold. We know that the velocity of a wave is inversely proportional to its time period. This tells us that it is directly proportional to its frequency.
Complete step-by-step solution
We know that frequency of a sound wave is the reciprocal of the time period of the wave, so
\[v = \dfrac{1}{T}\]
The speed of a sound wave is expressed as
\[v = \dfrac{\lambda }{T}\]
\[v = \lambda n\] -- 1
When the frequency is increased to a value of 4n
\[{v_2} = \lambda (4n)\] -- 2
Dividing 2 by 1
\[\dfrac{{{v_2}}}{v} = \dfrac{{\lambda (4n)}}{{\lambda n}}\]
\[{v_2} = 4v\]
Therefore, the correct answer is option B
Note: Frequency means the number of distance in unit time, if frequency is increased as per the question, it means that the wave will now oscillate more in 1 second, this will ultimately have an impact on the speed of the wave if the wavelength is kept constant, i.e. it will cover more distance.
Complete step-by-step solution
We know that frequency of a sound wave is the reciprocal of the time period of the wave, so
\[v = \dfrac{1}{T}\]
The speed of a sound wave is expressed as
\[v = \dfrac{\lambda }{T}\]
\[v = \lambda n\] -- 1
When the frequency is increased to a value of 4n
\[{v_2} = \lambda (4n)\] -- 2
Dividing 2 by 1
\[\dfrac{{{v_2}}}{v} = \dfrac{{\lambda (4n)}}{{\lambda n}}\]
\[{v_2} = 4v\]
Therefore, the correct answer is option B
Note: Frequency means the number of distance in unit time, if frequency is increased as per the question, it means that the wave will now oscillate more in 1 second, this will ultimately have an impact on the speed of the wave if the wavelength is kept constant, i.e. it will cover more distance.
Recently Updated Pages
Name the scale on which the destructive energy of an class 11 physics JEE_Main
Write an article on the need and importance of sports class 10 english JEE_Main
Choose the exact meaning of the given idiomphrase The class 9 english JEE_Main
Choose the one which best expresses the meaning of class 9 english JEE_Main
What does a hydrometer consist of A A cylindrical stem class 9 physics JEE_Main
A motorcyclist of mass m is to negotiate a curve of class 9 physics JEE_Main
Other Pages
The diagram given shows how the net interaction force class 11 physics JEE_Main
Ethylidene dichloride is obtained by the reaction of class 12 chemistry JEE_Main
Assertion The trajectory of a projectile is quadratic class 11 physics JEE_Main
Which of the following meet the requirements of Huckel class 11 chemistry JEE_Main
A block of mass 5 kg is on a rough horizontal surface class 11 physics JEE_Main
Choose the incorrect statement from the following A class 12 physics JEE_Main