Question

A tuning fork of frequency 512 Hz produces sound waves of wavelength 65 cm calculate the velocity of sound

Answer 1

Solution :

⏭ Given:

✏ Frequency = 512 Hz

✏ Wavelength of sound wave = 65 cm

⏭ To Find:

✏ Velocity of sound

⏭ Formula:

✏ Formula of frequency in terms of wave velocity and wavelength is given by

$\star \: \underline{ \boxed{ \bold{ \sf{ \pink{frequency = \frac{velocity}{wavelength}}}}}} \: \star$

⏭ Conversation:

✏ 65 cm = 0.65 m

⏭ Calculation:

$\mapsto \sf \: v = \nu \times \lambda \\ \\ \mapsto \sf \: v = 512 \times 0.65 \\ \\ \mapsto \: \boxed{ \sf{ \orange{ \bold{velocity \: of \: sound ≈ 333 \: m {s}^{ - 1}}}}} \: \red{ \bigstar}$

Answer 2

$\mathtt{ \huge{ \fbox{Solution :)}}}$

Given ,

• Frequency of the wave = 512 Hz
• Wavelength of the wave = 65 cm or 0.65 m

We know that , wavelength of the wave is equal to the velocity of the wave , divided by frequency of the wave

$\large \mathtt{\fbox{Wavelength = \frac{v}{f} }}$

Thus ,

V = 0.65 × 512

V = 333 m/s (approx)

Hence , the velocity of wave is 333 m/s

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