Question

Sample Problem 3. The wavelength of sound emitted by a source is 1.7 x 10-2 m. Calculate frequency
the frequency of the sound wave is
f the sound, if its velocity is 343.4 m sl.
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Answer 1

★ Question :

Q- The wavelength of sound emitted by a source if 1.7×10-² m. Calculate frequency of the sound wave (f) , if it's velocity is 343.4 m/s.

★ Solution :

# GIVEN :-

• $\sf \lambda \: (wavelength) = 1.7 \times {10}^{ - 2} \: m$
• $\sf \: v \: (velocity) = 343.4 \: \frac{m}{s}$

# TO FIND :-

• $\sf \: frequency \: ( \nu)$

# SOLUTION :-

We know that,

›› Velocity = frequency × wavelength

so,

›› frequency = $\sf\dfrac{velocity}{wavelength}$

$\mapsto \rm \: \nu = \frac{v}{ \lambda}$

$\mapsto \rm \: \nu = \frac{343.4}{1.7 \times {10}^{ - 2} }$

$\mapsto \rm \: \nu = \frac{343.4 \times {10}^{ 2} }{1.7}$

$\mapsto \rm \: \nu = 202 \times {10}^{2} \: hertz \:$

$\mapsto \: \underline{ \boxed{ \sf{ \nu = 2.02 \times {10}^{4} \: hertz}}}$

So,

The Frequency of the sound wave is 2.02×10⁴ hertz.

_________

Note : The unit of frequency can be both "hertz" & "per second", they both are same.

# KNOW MORE :-

• Velocity = It is the rate of change of position with respect to time. It's unit is m/s or km/h.

• Wavelength = The distance between two successive crests or troughs of a wave. It's unit is m.

• Frequency = Number of waves that passed a fixed point in a unit time. It's unit is per second or hertz .

Answer 2

Answer:

is u r answered hope this helps u