Question

A source is producing 1500 sound waves in 3 seconds. If distance covered by a compression & an adjacent refraction be 68 cm,find :

a) Frequency b) wavelength c) Velocity of sound wave ​

Answer 1

Given that, a source is producing 1500 sound waves in 3 seconds.

(Number of waves is 1500 and time is 3 sec)

Also given that, distance covered by a compression & an adjacent refraction be 68 cm.

We have to find the a) Frequency b) wavelength c) Velocity of sound wave.

a) For Frequency:

Frequency is defined as the number of vibrations per second.

Since, 1500 sound waves produced in 3 sec. So,

Frequency = (Number of sound waves)/Time

= 1500/3

= 500

Therefore, the frequency is 500 Hz.

b) For Wavelength:

As said in question, distance covered by a compression & an adjacent refraction be 68 cm.

Therefore, the value of wavelength is 68 cm.

c) For Velocity of sound wave:

Relation between velocity of sound wave, frequency and wavelength is:

Velocity of sound wave = Frequency × Wavelength

Substitute the known values in the above formula,

= 500 × 68

= 34000 cm/s

To convert cm into m. Divide the given value by 100.

= 34000/100

= 340 m/s

Therefore, the value of velocity of sound wave is 340 m/s.

Answer 2

GIVEN:

• Sound waves produced = 1500
• Time taken = 3s
• Distance coversed by compression & an adjacent refraction 68cm

TO FIND:

• a) Frequency
• b) Wavelength
• c) Velocity of sound wave

CONCEPTS:

• Frequency : No. of vibrations per second

SOLUTION:

a) solution:

Here , sound waves are vibrations

Frequency = No. of sound waves/Time

→ Frequency = 1500/3

→ Frequency = 500 Hz

Hence, Frequency produced = 500Hz

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b) Wavelength ( λ )

As per the question , already given that distance covered by a compression & an adjacent refraction : 68 cm

Hence , wavelength ( λ ) = 68cm

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c) Velocity of sound wave

We know that

Velocity of sound wave = Frequency × wavelength

Where

• Frequency = 500 Hz
• Wavelength = 68 cm

→ Velocity of sound wave = 500 × 68

→ Velocity of sound wave = 34000 cm/s

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ANSWERS

a) Frequency : 500Hz

b) Wavelength : 68 cm

c) Velocity of sound wave : 34000 cm/s