Speed of Sound – Practice Questions with Answers

1.Speed of Sound : Numerical based on relationship between frequency, wavelength and speed

Formula :Speed (v) = Frequency(f) * wavelength (λ)

Sl.No	Problem	Apply Formula	Solution
1.	A sound wave has a frequency of 2,000 Hz and a wavelength of 0.17 meters. What is its speed?	v=f×λ	?
2.	The speed of sound in a gas is 330 m/s, and its wavelength is 1.1 m. Find the frequency.	v=f×λ	?
3.	A sound wave has a frequency of 500 Hz and a wavelength of 0.68 m. Calculate its speed.	v=f×λ	?
4.	What is the speed of sound which has a frequency of 50 Hz and a wavelength of 10 m?	v=f×λ	?
5.	What is the speed of sound , if the sound wave has a frequency of 100 Hz and a wavelength of 3.4 m?	v=f×λ	?
6.	What is the frequency of sound, if the sound wave has a wavelength 0.1 m and its speed is 340 m/s?	f=v/λ	?
7.	What is the speed of sound in a medium where a 100 KHz frequency produces a 5.96 cm wavelength?	v=f×λ	?
8.	What is the frequency of sound, if the sound wave has a wavelength 0.85 m and its speed is 340 m/s?	f=v/λ	?
9.	What is the wavelength of sound, if the sound wave has a frequency of 256 Hz and its speed is 340 m/s?	λ=v/f	?
10.	Calculate the wavelength of the sound,if the frequency of sound wave is 500 Hz  and and the speed of sound in air is 340 m/s.	λ=v/f

2.Numerical problems based on ‘Temperature and the speed of sound’

In gases, temperature plays a significant role in determining the speed of sound. As air temperature rises, the kinetic energy of air molecules increases, causing them to vibrate more rapidly. This allows sound waves to propagate faster through the medium.

Formula    v= 331 m/s + (0.6 x T)

At 0 degree celsius the speed of sound is aproximately 331 m/s

For every degree Celsius increase in temperature the speed of sound increases by about 0.6 m/s

Sl.No	Problem	Apply Formula	Solution
1.	Calculate the speed of sound in air at 25°C.	v=331+(0.6×T)	?
2.	At what temperature will the speed of sound in air be 355 m/s?	v=331+(0.6×T)	?
3.	Calculate the speed of sound in helium at  -1°C	v=331+(0.6×T)	?
4.	Calculate the speed of sound in air at 35°C.	v=331+(0.6×T)	?
5.	Calculate the speed of sound in air at 20°C	v=331+(0.6×T)	?

3. Numerical problems based on ‘The relationship between the frequency and the time period’

Formula     f=1/T

 

Sl.No	Problem	Apply    formula	Answer
1.	A sound wave has a time period of 0.002 s. Calculate its frequency.	f=1/T	?
2.	The frequency of a sound wave is 500 Hz. Find its time period.	f=1/T	?
3.	Two sound waves have time periods of 0.005 s and 0.002 s, respectively. Identify which wave has a higher frequency.	f=1/T	?
4.	An ultrasonic wave has a time period of 0.00001 s. Calculate its frequency and determine if it lies in the audible range for humans.	f=1/T	?
5.	Two sound sources produce waves with frequencies of 250 Hz and 400 Hz. Find the time periods of both waves and determine the ratio of their time periods.	f=1/T	?

4. Numerical problems based on ‘Time taken to travel a particular distance’

Sl.No	Problem	Apply formula	Solution
1.	The speed of sound in water is 1,480 m/s. How long will it take to travel 7.4 km?	t=d/v	?
2.	Find the time for sound to travel 686 m in air at 20°C.	t=d​/v	?
3.	Sound travels through a metal rod at 5,960 m/s. How long does it take to travel 1,192 m?	t=d​/v	?
4.	The speed of sound in air is 343  m/s. How long will it take to travel 1 km?	t=d​/v	?

5. Numerical problems based on ‘Distance travelled in a particular time’

Formula: Distance = speed x time

Sl.No	Problem	Apply Formula	Solution
1.	The speed of sound in steel is 5,960 m/s. How far will sound travel in 0.5 seconds?	d=v×t	?
2.	A submarine sends a sonar pulse that returns after 4 seconds. If the speed of sound in seawater is 1,530 m/s, how far is the object?	d=v×t/2	?
3.	A sonar pulse takes 2 seconds to travel to the seabed and back. If the speed of sound in water is 1,500 m/s, find the ocean depth.	Total     distance          = v×t	?
4.	A person hears an echo 4 seconds after shouting near a cliff. If sound travels at 340 m/s, find the cliff’s distance.	Total         distance       = v×t	?
5.	A submarine sends a sound pulse to the ocean floor and receives the echo after 6 seconds. If the speed of sound in water is 1,500 m/s, find the ocean depth.	d=v×t	?
6.	A lightning bolt is seen, and 5 seconds later, thunder is heard. If the speed of sound is 340 m/s, estimate how far the lightning struck.	d=v×t	?
7.	A person shouts across a canyon and hears the echo after 8 seconds. If the speed of sound is 343 m/s, what is the width of the canyon?	Total         distance        = v×t	?

6.Numerical problems based on  ‘Speed of sound’

Formula : Speed = distance/time

Sl.No	Problem	Apply  Formula	Solution
1.	A sound wave travels 1,020 meters in 3 seconds in air. What is the speed of sound?	v=d/t	?
2.	A person standing 500 meters away from a cliff claps their hands and hears the echo after 3 seconds. What is the speed of sound?	v=2d/t	?
3.	A sound wave takes 0.5 seconds to travel 170 m in air. Find its speed.	v=d/t	?
4.	A sound wave takes 3 seconds to travel 1,020 m in air. Calculate the speed of sound.	v=d/t	?
5.	In a liquid, sound travels 3,000 m in 2 seconds. Calculate its speed.	v=d/t	?

7. Numerical based on ‘Speed of sound’ using ‘Resonance air column Apparatus’

Speed of sound – Formula

Numerical problem-1

Numerical problem-2

Speed of sound – Practice Questions

Speed of sound at room temperature 26 degree Celsius

S.No.	Frequency of  the tuning fork                        Hz	First resonating  length l1                    cm	Second resonating length l2                   cm	Speed of sound                  m/s
1.	256	32.0	96.0	?
2.	288	30.0	90.0	?
3.	320	28.0	84.0	?
4.	341	27.0	81.0	?
5.	384	25.0	75.0	?

 

Answers for the Numerical Problems

1.Speed of Sound : Numerical based on relationship between frequency, wavelength and speed

No.1	No.2	No.3	No.4	No.5	No.6	No.7	No.8	No.9	No. 10
340 m/s.	300 Hz	340 m/s	500 m/s	340 m/s	3400 Hz	5960 m/s	400  Hz	1.33  m	0.68  m

2.Numerical problems based on ‘Temperature and the speed of sound’

Problem No.1	Problem No.2	Problem No.3	Problem No.4	Problem 5
346 m/s.	T=40°C	330.4 m/s	352.4 m/s	343 m/s

 

3. Numerical problems based on ‘The relationship between the frequency and the time period’

S.No 1	S.No 2	S.No 3	S.No 4	S.No 5
500 Hz	0.002 s	500 Hz	100 KHz ultrasonics	8:5

4. Numerical problems based on ‘Time taken to travel a particular distance’

Problem No.1	Problem No.2	Problem No.3	Problem No.4
5 seconds.	2 seconds	0.2 seconds	2.91 seconds

5. Numerical problems based on ‘Distance travelled in a particular time’

No.1	No.2	No.3	No.4	No.5	No.6	No.7
2,980 m.	3,060 m.	1500 m	680 m	4500 m	1700 m	1372 m

6.Numerical problems based on  ‘Speed of sound’

No.1	No.2	No.3	No.4	No.5
340m/s.	333.33m/s.	340 m/s	340 m/s	1500 m/s

7. Numerical based on ‘Speed of sound’ using ‘Resonance air column Apparatus’

No.1	No.2	No.3	No.4	No.5
327.68 m/s	345.60 m/s	358.40 m/s	368.28 m/s	384.00 m/s

 

LINK TO THIS POST:

Unveiling the Secrets of Sound: How Fast Does it Travel Through Different Media?

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