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Conditions for hearing echo - class-IX

Description: conditions for hearing echo
Number of Questions: 56
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Tags: study of sound physics wave motion acoustics waves sound world of sounds
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An echo of the sound produced can be heard only if it reaches our ear after -

  1. 1 / 15th of a second

  2. 1 / 13th of a second

  3. 1 / 10th of a second

  4. 1 / 5th of a second


Correct Option: C
Explanation:

An echo is the repetition of sound that results as a reflection from a surface. An echo of the sound produced can be heard only if it reaches our ear after 1 / 10th of a second. This is due to the persistence of sound.

We can hear echoes only near the mountains. True or false.

  1. True

  2. False


Correct Option: B
Explanation:

we can hear echoes anywhere, where the distance between the source and the point of reflection is sufficient enough.

In order to produce an echo, the minimum distance between the source of the sound and the reflecting body should be :

  1. 14 m

  2. 16 m

  3. 17 m

  4. 20 m


Correct Option: C
Explanation:

As the sensation of sound persists in our brain for about 0.1 s, to hear a distinct echo the time interval between the original sound and the reflected one must be at least 0.1 s. If we take the speed of sound to be 344 m/s at a given temperature, say at 22 $^0C$ in air, sound must go to the obstacle and reach back the ear of the listener on reflection after 0.1s.
 
Hence, the total distance covered by the sound from the point of generation to the reflecting surface and back should be at least (344 m/s) ×0.1 s = 34.4 m. Thus, for hearing distinct echoes, the minimum distance of the obstacle from the source of sound must be half of this distance. I.e., $\frac{34.4}{2} \approx 17 \,m$

The minimum distance between the source of a sound and reflecting body should be 17 m for the formation of an echo. True or false

[consider the medium to be air]

  1. True

  2. False


Correct Option: A
Explanation:

As the sensation of sound persists in our brain for about 0.1 s, to hear a distinct echo the time interval between the original sound and the reflected one must be at least 0.1 s. If we take the speed of sound to be 344 m/s at a given temperature, say at 22 $^0C$ in air, sound must go to the obstacle and reach back the ear of the listener on reflection after 0.1s.
 
Hence, the total distance covered by the sound from the point of generation to the reflecting surface and back should be at least (344 m/s) ×0.1 s = 34.4 m. Thus, for hearing distinct echoes, the minimum distance of the obstacle from the source of sound must be half of this distance. I.e., $\frac{34.4}{2} \approx 17 \,m$

The time gap between the two sounds-direct and echo depends upon:

  1. medium through which the sound travels

  2. the type of obstacle

  3. the speed of sound

  4. All


Correct Option: A
Explanation:

The time gap between the two sounds-direct and echo depends upon the medium through which the sound travels. These two sounds can be heard distinctly provided the Distance between the observer and the reflecting surface is large enough to allow the reflected sound to reach him without interfering with the direct sound.

The direct sound and the echo can be heard differently provided:

  1. Distance between the observer and the reflecting surface is large enough to allow the reflected sound to reach him interfering with the direct sound.

  2. Distance between the obstacle and the source is small enough to allow the reflected sound to reach him interfering with the direct sound.

  3. Distance between the observer and the reflecting surface is large enough to allow the reflected sound to reach him without interfering with the direct sound.

  4. Distance between the obstacle and the reflecting surface is large enough to allow the reflected sound to reach him interfering with the direct sound.


Correct Option: C
Explanation:

The time gap between the two sounds-direct and echo depends upon the medium through which the sound travels. These two sounds can be heard distinctly provided the Distance between the observer and the reflecting surface is large enough to allow the reflected sound to reach him without interfering with the direct sound.

room have two walls at a distance of 12 m.

  1. no sound will be heard

  2. no echo will be heard

  3. echo can be heard

  4. none


Correct Option: B
Explanation:

In rooms having walls less than 17.2 m away from each other, no echo can be heard.

For the production of an echo, size and nature of obstacle should be:

  1. quite small, rigid

  2. quite small, soft

  3. quite large, rigid

  4. quite large, soft


Correct Option: C
Explanation:

For the production of an echo, the reflecting surface or the obstacle should be rigid such as building, hill, cliff.
Echo can be produced if the size of the obstacle reflecting the sound is quite large.

The minimum distance in air between the observer and the obstacle for an echo to be heard clearly at temperatures higher than $25^o$C is:

  1. less than 17.2m

  2. more than 17.2m

  3. equal to 17.2m

  4. cant be predicted


Correct Option: B
Explanation:

The minimum distance in air between the observer and the obstacle for an echo to be heard clearly at temperatures higher than $25^o$C is more than 17.2 m.
The speed of sound increases with rise in temperature.

Echo can be heard if 

  1. the minimum distance between the source of sound and the obstacle is $17m$

  2. the obstacle is rigid and hard.

  3. both A and B hold

  4. none of A and B hold


Correct Option: C
Explanation:

The options are the conditions for an echo to be produced. The obstacle should be rigid at a minimum distance of $17m$ for an echo to be produced.

For the production of an echo, the reflecting surface should be:

  1. rigid

  2. soft

  3. very near

  4. all


Correct Option: A
Explanation:

For the production of an echo, the reflecting surface or the obstacle should be rigid such as building, hill, cliff.

sponge is kept at a distance of 19m from the source of sound then:

  1. no echo will be heard

  2. an echo can be heard

  3. no sound will be heard

  4. none


Correct Option: A
Explanation:

The minimum distance in air between the observer and the obstacle for an echo to be heard clearly is nearly 17.2 m. This condition is followed here but for the production of an echo, the obstacle should be rigid.

Fill in the following blanks with suitable words
(a) An echo is simply a ______ sound.
(b) Pitch of sound depends on
__.
(c) Loudness of sound depends on _
.
(d) Quality of sound depends on
_.
(
e) Echoes are caused by the
______ of sound.

  1. (a) Reflected, (b) Frequency, (c) Amplitude, (d) Waveform, (e) Reflection

  2. (a) reflection, (b) amplitude, (c) frequency, (d) waveform, (e) reflected

  3. (a) waveform, (b) reflected, (c) reflection, (d) frequency, (e) amplitude

  4. (a) frequency, (b) waveform, (c) reflected, (d) amplitude, (e) reflection


Correct Option: A
Explanation:

$1.$ Echo is simply the reflection of sound that arrives at the listener with a delay after the direct sound.

$2.$ Pitch is the quality of sound governed by the rate of vibrations producing it. It depends on the frequency of the sound.
$3.$ Loudness is the subjective perception of sound pressure.  It depends on the amplitude.
$4.$ Quality of sound depends on the waveform. By analyzing the shape of the wave we can determine the quality of sound.
$5.$ Echoes are caused by the reflection of sounds that arrives at the listener with a delay after the direct sound.

In a room two walls are at a distance of 159 m, then

  1. no echo will be heard

  2. an echo can be heard

  3. no sound will be heard

  4. none


Correct Option: B
Explanation:

Rooms having walls less than 17.2 m away from each other, no echo can be heard. here, 159 m is greater than 17.2 m. So an echo will be heard if other conditions are fulfilled.

When echo is heard?

  1. If the time interval between original sound and reflected sound is more than 1/10s.

  2. If the time interval between original sound and reflected sound is less 1/10s.

  3. If the time interval between original sound and reflected sound is less than 1/120s.

  4. If the time interval between original sound and reflected sound is 1/120s


Correct Option: A
Explanation:

If the time interval between original sound and reflected sound is more than $\frac{1}{10}\,s$, then the original sound and the reflected sound can be clearly heard. This reflected sound is known as echo.

An echo is heard on a day when temperature is about $44^0$C. When will the echo be heard if the temperature falls to $80^0$C?

  1. Sooner

  2. Later

  3. At the same time

  4. No echo will be heard


Correct Option: A
Explanation:

Time, after which an echo is heard is given by $t = \dfrac {Distance}{Speed \ \ of \ \ sound \ \ in \ \ air}$
Therefore, since speed of sound in air increases with the increase in temperature, so the time after which echo will be heard decreases. Hence, echo will be heard, sooner than the echo heard when temperature near $44^0C$

A room have two walls at a distance of 12m :

  1. no sound will be heard in the room

  2. no echo will be heard in the room

  3. echo can be heard in the room

  4. none of the above are true


Correct Option: B
Explanation:

In rooms having walls less than 17.2m away from each other, no echo can be heard.

For the production of an echo,size and nature of the obstacle should be :

  1. small and rigid respectively

  2. small and soft respectively

  3. large and rigid respectively

  4. large and soft respectively


Correct Option: C
Explanation:

For the production of an echo, the reflecting surface or the obstacle should be rigid such as building, hill, cliff. Echo can be produced if the size of the obstacle reflecting the sound is quite large.

In a room two walls are at a distance of 159 m. Then :

  1. no echo will be heard

  2. an echo can be heard

  3. no sound will be heard

  4. none of these are true


Correct Option: B
Explanation:

In rooms having walls less than 17.2m away from each other, no echo can be heard. Here,walls of the room are at a distance of 159 m, much greater than 17.2m. So an echo will be heard if other conditions are fulfilled.

A sponge is kept at a distance of 19m from a source of sound.

  1. No echo will be heard

  2. An echo can be heard

  3. No sound will be heard

  4. None of the above is true


Correct Option: A
Explanation:

The minimum distance in air between the observer and the obstacle for an echo to be heard clearly is nearly 17.2m. This condition is followed here but for the production of an echo, the obstacle should be rigid.

The minimum distance in air between the observer and the obstacle for an echo to be heard clearly at temperatures higher than ${25}^{0}C$ is :

  1. less than $17.2m$

  2. more than $17.2m$

  3. equal to $17.2m$

  4. unpredictable


Correct Option: B
Explanation:

The minimum distance in air between the observer and the obstacle for an echo to be heard clearly at temperatures higher than ${25}^{0}C$ is more than $17.2m$. The speed of sound increases with rise in temperature.

For the production of an echo, the reflecting surface should be :

  1. rigid

  2. soft

  3. very near

  4. none of these


Correct Option: A
Explanation:

For the production of an echo, the reflecting surface or the obstacle should be rigid such as building, hill, cliff etc.

The minimum distance between the source of sound and the reflecting surface necessary to cause echo is

  1. $1.7\ m$

  2. $17\ m$

  3. $7\ m$

  4. $70\ m$


Correct Option: B
Explanation:

The human ear can hear two sounds distinctly only if there is a time interval of $\frac{1}{10}$seconds between them. Now, the speed of sound in air at $20^0$C is $340m/s$, so the distance traveled in $\frac{1}{10}$seconds will be: 
Distance = Speed X time 
$=340 \times \frac{1}{10} \= 34m$

Thus, it is possible to hear the echo at the minimum distance of $\frac{34}{2}= 17m$ between the source of sound and reflecting surface. 

The minimum distance to hear a clear echo is (V is the velocity of sound)

  1. 2V/5

  2. 5V/2

  3. V/20

  4. 5V


Correct Option: C
Explanation:

Minimum frequency to the human ear is 20
$\therefore T= \dfrac {1} {F}$
$T=\dfrac{1} {20}$
$d= V \times t$
$d= V\times \dfrac {1} {20}$
$\therefore$ The minimum distance is$ \dfrac {V} {20}$, where V is speed of the sound.

A man, standing between two cliffs, claps his hands and starts hearing a series of echoes at intervals of one second. If the speed of sound in air is $340ms^{-1}$, the distance between the cliffs is?

  1. $680$m

  2. $1700$m

  3. $340$m

  4. $1620$m


Correct Option: C
Explanation:

Let the distance between the two cliffs be d. Since, the man is standing midway between the two cliffs, then the distance of man from either end is $d/2$.
The distance travelled by sound (in producing an echo)
$2\times \displaystyle\frac{d}{2}=v\times t\Rightarrow d=340\times 1=340$m.

If two consecutive signals with a difference of 0.1 s are incident on a rock, distant 20 m from the source, will we get two echoes

  1. True

  2. False


Correct Option: B
Explanation:

The echo of the first signal will overlap with the second signal. Thus, an echo will not be absent

A signal source starts from rest and moves away from a stationary wall with an acceleration of $0.5 m/s^2$. After what time in secs will we hear an echo

  1. $1.2 $

  2. $8.2 $

  3. $18.2 $

  4. $4.2 $


Correct Option: B
Explanation:

Distance required for an echo to be heard is 17 m. Thus, $17 =  0 + \dfrac{0.5 t^2}{2} \implies t= 2\sqrt{17}=8.2 s$. 

The correct option is (b)

A source of sound is kept at a distance of 10 m from a wall. What distance should it be moved further, so that an echo is heard

  1. 10 m away from the wall

  2. 7 m away from the wall

  3. 7 m towards the wall

  4. 10 m towards the wall


Correct Option: B
Explanation:

To hear an echo, the distance between the source and the reflector should be atleast 17 m. Thus the source should be moved 7 m away from the wall

The correct option is (b)

A source of sound moves with an uniform velocity away from a wall. An echo is heard at 4th second from its beginning position, what is the speed of the source

  1. 10 m/s

  2. 7 m/s

  3. 4.25 m/s

  4. 1 m/s


Correct Option: C
Explanation:

distance moved by the source = 17 m for the echo to be heard

Thus, $17 = v(4) \implies v = 17/4 = 4.25 $ m/s

The correct option is (c)

To hear an echo, the minimum distance between source of sound and reflecting body is 17m.

  1. True

  2. False


Correct Option: A
Explanation:

to hear echo of a sound the minimum distance between source and reflecting surface should be 17m.

so the answer is A.

The minimum distance between the sound and the reflecting surface, in order to hear an echo, must be

  1. $0.65\space m$

  2. $1.65\space m$

  3. $16.5\space m$

  4. $165\space m$


Correct Option: C
Explanation:

Let the distance between the source of sound and the obstacle be $x$ metres .

Thus the distance travelled by sound to reach back to the source   $d = 2  x$
As the minimum time required to hear an echo is equal to $ 0.1  sec$
As velocity of sound in air    $ v = 330   m/s$
Thus  $d = v  t$
$2  x = 330  \times 0.1             \implies x = 16.5   m$

Velocity of sound in the atmosphere of a planet is 600m$s^{-1}$. The minimum distance between the source of sound and the obstacle to hear echo should be

  1. 60 m

  2. 25 m

  3. 30 m

  4. 17 m


Correct Option: C
Explanation:

Let the distance between the source of sound and the obstacle be $x$ metres .

Thus the distance travelled by sound to reach back to the source   $d = 2  x$
As the minimum time required to hear an echo is equal to $ 0.1  sec$
Thus  $d = v  t$
$2  x = 600  \times 0.1             \implies x = 30   m$

A source of sound emitting a tone of frequency 200 Hz moves towards an observer with a velocity v equal to the velocity of sound if the observer also moves away from the source with the same velocity v, the apparent frequency heard by the observer is

  1. $50 Hz$

  2. $100 Hz$

  3. $150 Hz$

  4. $200 Hz$


Correct Option: D

A table is revolving on its axis at 5 revolutions per second. A sound source of frequency 1000 Hz is fixed on the table at 70 cm from the axis. The minimum frequency heard by a listener standing at a distance from the table will be (speed of sound = 352 m/s)

  1. 1000 Hz

  2. 1066 Hz

  3. 941 Hz

  4. 352 Hz


Correct Option: C
Explanation:

$\begin{array}{l} For\, \, source\, \, vS=r\omega =0.70\times 2\pi \times 5=22\, m/s \ the\, \, source\, \, is\, \, receding\, \, the\, \, man.\, it\, \, is\, \, given\, \, by\, \, { \eta _{ \min   } }=n\frac { v }{ { v+{ v _{ s } } } } Hz \ Minimum\, \, frequency\, \, is\, \, heard\, \, when=1000\times \frac { { 352 } }{ { 352+22 } } =941 \end{array}$

A person clapped his hands hear cliff and heard a echo after 5s. The minimum distance of the cliff from the person if the speed of sound is take as 346 m/s 

  1. 17.11 m

  2. 117.2 m

  3. 173 m

  4. 865 m


Correct Option: D

A mas fires a bullet standing between two cliffs. First echo is heard after $3$ seconds and second echo is heard after $5$ seconds. If the velocity of sound is $336m/s$, then the distance between the cliffs is

  1. $5\times 336 m$

  2. $4\times 336 m$

  3. $3\times 336 m$

  4. $2\times 336 m$


Correct Option: B

A rail engine approaches a hill at a speed of $54\ kmph$ whistling a sound of frequency $160\ Hz$. The frequency of echo heard by the engine driver is (velocity of sound in air $335\ ms^{-1})$.

  1. $167.5\ Hz$

  2. $152.5\ Hz$

  3. $175\ Hz$

  4. $145\ Hz$


Correct Option: C

A driver blows the horn when he is at a distance of $1020m$ from a stiff. He hears the echo after $11/2sec$. At what rate is he approaching the cliff. (velocity of sound in air $=340m/s$)

  1. $72m/s$

  2. $31m/s$

  3. $31mph$

  4. $60kmph$


Correct Option: B

State whether given statement is True or False
A man standing 25 m away from a wall produces a sound and receives the reflected sound.
The man will be able to hear a distinct echo.

  1. True

  2. False


Correct Option: B
Explanation:

Like all waves, sound waves can be reflected. Sound waves suffer reflection from the large obstacles. As a result of reflection of sound wave from a large obstacle, the sound is heard which is named as an echo. Ordinarily echo is not heard as the reflected sound gets merged with the original sound. Certain conditions have to be satisfied to hear an echo distinctly (as a separate sound).
The sensation of any sound persists in our ear for about 0.1 seconds. This is known as the persistence of hearing. If the echo is heard within this time interval, the original sound and its echo cannot be distinguished. So the most important condition for hearing an echo is that the reflected sound should reach the ear only after a lapse of at least 0.1 second after the original sound dies off.
As the speed of sound is 340 m/s, the distance traveled by sound in 0.1 second is 34 m. This is twice the minimum distance between a source of sound and the reflector. So, if the obstacle is at a distance of 17 m at least, the reflected sound or the echo is heard after 0.1 second, distinctly. 
In the question, the wall is 25 m away from the man and hence, the man will be able to hear the echo distinctly.

What should be the minimum distance (in m) between source and reflector in water so that echo is heard distinctly ? (The speed of sound in water $= 1400\; ms^{-1}$)

  1. 60

  2. 140

  3. 90

  4. 70


Correct Option: D
Explanation:

The sensation of any sound persists in our ear for about 0.1 seconds. This is known as the persistence of hearing. If the echo is heard within this time interval, the original sound and its echo cannot be distinguished. So the most important condition for hearing an echo is that the reflected sound should reach the ear only after a lapse of at least 0.1 second after the original sound dies off. 
As the speed of sound in water is 1400 m/s in the question, the distance traveled by sound in 0.1 second is 35 m, which is calculated from the formula 
$Distance\; traveled=velocity\; of\; sound \times time\; taken$. That is, 140 m. This is twice the minimum distance between a source of sound and the reflector. So, if the obstacle is at a distance of 70 m at least, the reflected sound or the echo is heard after 0.1 second, distinctly.

The speed of sound in air and sea-water are given to be $340\ m/s$ and $1440\ m/s$ respectively. A ship sends a strong signal straight down and detects its echo after $1.5$second. The depth of the sea at that point is 

  1. $2.16\ kms$

  2. $1.08\ kms$

  3. $0.51\ kms$

  4. $0.255\ kms$


Correct Option: B
Explanation:

$\displaystyle V _{air}=340m/s, V _{water}=1440m/s$
Echo is the sound that we hear after reflection of sound wave from the reflecting surface.
i.e., total distance travel by sound wave $=2d$
velocity$\displaystyle=\frac{distance}{time}$
$\displaystyle 1440=\frac{2d}{1.5}\Rightarrow d=\frac{1440\times 1.5}{2}=1080.0m=1.08kms$
Hence, option $B$ is the correct answer.

State whether the given statement is True or False :

A girl is sitting in the middle of a park of dimension $\displaystyle 12m\times 12m.$ On the left side of it there is a building adjoining the park and on right side of the park, there is a road adjoining the park. A sound is produced on the road by a cracker. The girl will be able to hear the echo of this sound.

  1. True

  2. False


Correct Option: B
Explanation:

Like all waves, sound waves can be reflected. Sound waves suffer reflection from the large obstacles. As a result of reflection of sound wave from a large obstacle, the sound is heard which is named as an echo. Ordinarily echo is not heard as the reflected sound gets merged with the original sound. Certain conditions have to be satisfied to hear an echo distinctly (as a separate sound).
The sensation of any sound persists in our ear for about 0.1 seconds. This is known as the persistence of hearing. If the echo is heard within this time interval, the original sound and its echo cannot be distinguished. So the most important condition for hearing an echo is that the reflected sound should reach the ear only after a lapse of at least 0.1 second after the original sound dies off. As the speed of sound is 340 m/s, the distance traveled by sound in 0.1 second is 34 m. This is twice the minimum distance between a source of sound and the reflector. So, if the obstacle is at a distance of 17 m at least, the reflected sound or the echo is heard after 0.1 second, distinctly. 
In this case, the girl is seated in the middle of the park. So, the sound travels through a distance of 6 m up to the girl and then another 6 m up to the building. The total distance is just 12 m which is less than the minimum distance required for the sound to echo. Hence, the echo cannot be heard in this case. 

What should be the minimum distance between the source of sound and the obstacle to hear an echo?

  1. 17 m

  2. 34 m

  3. 8.5 m

  4. 51 m


Correct Option: A
Explanation:

The sensation of any sound persists in our ear for about 0.1 seconds.  If the echo is heard within this time interval, the original sound and its echo cannot be distinguished. So the most important condition for hearing an echo is that the reflected sound should reach the ear only after a lapse of at least 0.1 second after the original sound dies off. As the speed of sound is 340 m/s, the distance travelled by sound in 0.1 second is 34 m. This is twice the minimum distance between a source of sound and the reflector. So, if the obstacle is at a distance of 17 m at least, the reflected sound or the echo is heard after 0.1 second, distinctly.

A man beats drum at a certain distance from the mountain. He slowly increases the rate of beating and finds that the echo is not heard distinctly, when the drum beating is at the rate of $40$ per minute. He moves by $80 m$ towards the mountain and finds that the echo is again not heard distinctly when the rate of beating of the drum is $1$ per second. What is the original distance of the man from the mountain?

  1. $120 m$

  2. $240 m$

  3. $270 m$

  4. $340 m$


Correct Option: B
Explanation:

Echo is not heard distinctly, when next beat overlaps with echo simultaneously.
Time per beat $=$ time taken by reflected beat to reach listener.
d being the distance and drum beating at rate of $40$ per minute.
$\dfrac{2d}{v}=\dfrac{60}{40}=\dfrac{3}{2}$
and $\dfrac{2d-80}{v}=1$
Solving we get $d=240m$

An echo will be heard if the minimum distance between the source of sound and the obstacle is

  1. 1 m

  2. 10 m

  3. 15 m

  4. 17 m


Correct Option: D
Explanation:

An echo is heard when a sound takes minimum of $0.1 \ s$ to reach the observer after getting reflected from the obstacle.
Let the distance between the distance between the source (or observer) and the obstacle be $x$.
Thus distance traveled by sound to hear echo is $2x$.
Speed of sound  $v = 340 \ m/s$
$\therefore$  $2x = vt$
Or  $2x = 340\times 0.1$
$\implies  \ x = 17 \ m$

The echo will be heard if the original sound reflected by an obstacle reaches our ears after

  1. 10 s

  2. 5 s

  3. 1 s

  4. 0.1 s


Correct Option: D
Explanation:

When sound waves travel in a medium, it gets reflected from the obstacle and we hear the same sound produced even after some time. This reflected sound is known as echo.
Human ear can hear an echo if the reflected sound reaches the ear after at least $0.1 \ s$. If the reflected sound reaches the human ear in less than $0.1\ s$, then we cannot hear the echo.

A man is sitting in Gandhi Park of dimension 6m $\times$ 6m. On the left side of it, there is a building adjoining the park, and on the right side of the park, there is a road adjoining by park. A sound is produced on the road by a diwali bomb :

  1. the man will hear the echo of this sound

  2. no sound will be heard by the man

  3. no echo will be heard

  4. none


Correct Option: C
Explanation:

The minimum distance between source of sound and obstacle , to hear an echo is 17m , as the dimensions of the park are $l=6m  , b=6m$ , therefore  distance between road and building is 6m , therefore echo of the bomb sound will not be produced as distance between source of sound (bomb) and building is less than 17m i.e. echo will not be heard .

A girl blew a whistle while standing in front of a cliff. She heard an echo after $4s$. Find the distance of the cliff from the boy if velocity of sound in air is $332m{s}^{-1}$

  1. $332m$

  2. $664m$

  3. $166m$

  4. $1328m$


Correct Option: B
Explanation:

Time taken by the sound to go from the boy to the cliff, $t=\dfrac{4}{2}s=2s$

Speed of sound in air, $v=332m{s}^{-1}$ 

So, distance of the cliff from the boy, $s=v\times{t}=332\times2m=664m$.

A boy shouts while standing in front of a hill. He hears an echo after $6s$. If the speed of sound  in air is $340 m/s$, what is the distance of the hill from the position of the body?

  1. $519 m$

  2. $1020 m$

  3. $2040 m$

  4. None


Correct Option: B
Explanation:

Let distance of hill from the position of the body be $d$.

Echo is heard after $6s$

Speed of sound, $v=340m/s$

So, $d=v \times {\dfrac{t}{2}}$
or, $d=340 \times {\dfrac{6}{2}}=1020m$

An echo returns in $3 s$. What is the distance of the reflecting surface from the source?

  1. $1020 m$

  2. $22.66 m$

  3. $510 m$

  4. $2.28m$


Correct Option: C
Explanation:

Time taken by sound to travel from the source to the deflecting surface $t=\dfrac{3}{2}=1.5s$

Speed of sound $v=340m/s$

So, distance between the surface and the source $=v \times t=340 \times 1.5=510m$

An echo returned in $3 s$. What is the distance of the reflecting surface from the source, given that the speed of sound is ${ 342ms }^{ -1 }$?

  1. $520 m$

  2. $515 m$

  3. $530 m$

  4. $513 m$


Correct Option: D
Explanation:

If $d$ be the distance between reflecting surface and the source. 

For the echo, the sound travels distance $2d$ in $3s$. 
Thus, $2d=vt$ or $d=vt/2=\dfrac{342\times 3}{2}=513 m$ 

Sound produced by a thunderstorm is heard 10 s after the lightning is seen. The approximate distance of the thunder cloud :
(Given speed of sound $= 340 m s^{1}$)

  1. 3.4 Km

  2. 340 m

  3. 3.4 m

  4. None of these


Correct Option: A
Explanation:

Lightning and thunder are produced simultaneously, but the thunder is heard a few seconds after the lightning is seen. This is because the speed of light in air is more than the speed of sound in air.
The speed of light is given as $3\times { 10 }^{ 8 }$ m/s. The speed of sound is 340 m/s. Thus, the entire time of 10 seconds (as mentioned in the question) between seeing the light and hearing the thunderstorm is taken by the sound to travel to the observer. Hence, the distance traveled by the thunder is given as follows.
$s=vt$; where,
s is the distance traveled, v is the velocity of sound and t is the time taken.
That is,  $330m/s\times 10s = 3400 m = 3.4 km.$
Thus, the distance traveled by the thunder is $3.4 km.$

The ceiling and wall behind the stage of good conference halls or concert halls are made:

  1. Straight 

  2. Curved 

  3. Circular 

  4. Rectangular 


Correct Option: B
Explanation:

In concert or conference halls, music or other sounds that are produced on the stage must be carried through the air to people in the crowd. Some of these sound waves go directly to the people in the crowd, without bouncing off on anything first. However, other sound waves from the stage first go to areas like walls and ceilings, and the sound either bounces off or is absorbed. When sound waves bounce off a surface, the new direction they travel is related to the angle they strike the surface. 
Thus, acoustical engineers and architects sometimes need to place panels on the ceilings and walls to reflect sound in a specific direction, that is, back to the audience. Using panels that are curved have a similar effect. Hence, ceiling and wall behind the stage of good conference halls or concert halls made curved so that sound after reflection reaches all the corners of the hall and the whole audience.

What should be the minimum distance between the listener and the reflector to hear an echo of sound propagating with a speed $v\   m s^{-1}$?

  1. $v/10$ m

  2. $10 v$ m

  3. $v/20$ m

  4. $20v$ m


Correct Option: C
Explanation:
if there is a sound reflector at a distance d from the source, then the time interval between original sound and its echo at the site of the source is given as $T=\dfrac { 2d }{ v } $
 $d=\dfrac { v\times t }{ 2 } = \dfrac { v\times 1 }{ 2\times 10 } $ as Time = 0.1 s.
Hence, $d=\dfrac { v }{ 20 }$.

A man starts from rest and moves with constant acceleration towards a hill which is $648 m$ away. He fires a gun at the instant of starting and hears its echo after $4$ seconds. Velocity of sound in air is $320 m/s$

  1. His acceleration is $1m/s^{2}$

  2. His acceleration is $2m/s^{2}$

  3. His velocity at the instant of hearing echo is $4 m/s$

  4. His velocity at the instant of hearing echo is $8 m/s$


Correct Option: B,D

A man fires a gun and hears its echo after 5 s. The man then moves 310 m towards the hill and fires his gun again. This time he hears  the echo after 3 s. Calculate the speed of sound. 

  1. $330\,m\, s^{-1}$

  2. $350\,m\, s^{-1}$

  3. $210\,m\, s^{-1}$

  4. $310\,m\, s^{-1}$


Correct Option: D
Explanation:

The speed of the sound is calculated as follows.
Let d be the distance between the man and the hill in the beginning.
$v=\dfrac { 2\times d }{ t } $ = $\dfrac { 2\times d }{ 5 } \rightarrow eqn\quad 1$
He moves 310 m towards the hill. Therefore the distance will be (d - 310) m. Therefore,
$v=\dfrac { 2\left( d-310 \right)  }{ 3 } \rightarrow eqn\quad 2$
Since velocity of sound is same, equating (1) and (2), we get
$\dfrac { 2d }{ 5 } =\dfrac { 2\left( d-310 \right)  }{ 3 } $
3d = 5d - 1550
2d = 1550
d = 775 m
Hence, the velocity of sound v=$\dfrac { 2\times 775 }{ 5 } $ (substituting in equation 1)
$v=310 m/s$

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