Question

The wave length of sound wave produced by a tuning fork is 0.84m .if the fork completes 400 vibrations per second the velocity of the wave is​

Answer 1

Answer:

The wave lenght of sound produced by tuning fork is 0.84m

lamda = 0.84

fork completes 400 vibrations

n = 400

We know that,

v = n × lambda

= 400 × 0.84

= 100 × 4 × 0.84

= 4 × 84

= 336 m/s

hope it will help

VJ27

Answer 2

Given:

Wavelength of the wave λ $=0.84m$

Frequency of the wave $f$ $=400/s$

To find:

Velocity of the wave

Explanation:

We know, the angular velocity ω of a wave is the distance traveled by the wave in radians in a given amount of time.

ω = $\frac{2piR}{T}$  ; where R is the radius of the circle

Now, if the wave is a periodic wave that is it revolves to and fro about the same position n numbers of time, the circumference $2$ π$R$ can be said as the wavelength of the wave.

Hence,

v = λ $/$ $T$

We, also know that, the number of oscillations /vibrations made by the

wave in a given amount of time is called as the frequency of the wave.

Therefore, $\frac{1}{T}=f$

And, $v=f$ × λ  

Solution:

Substituting the given values in the equation, we get

$v=400$ × $0.84$

$v=336m/s$

Final answer:

Hence, the velocity of the wave is 336 m/s.