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Comparison of speed of sound with speed of light - class-X

Description: comparison of speed of sound with speed of light
Number of Questions: 39
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Tags: world of sounds acoustics wave motion propagation of sound waves physics
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Flash and thunder are produced simultaneously. But thunder is heard a few seconds after the flash is seen. This is because:

  1. speed ofsound is greater than speed oflight

  2. speed of sound is equal to the speed of light

  3. speed of light is much greater than the speed of sound

  4. none of these


Correct Option: C
Explanation:

It is because light travels faster  ($3\times10^{8}m/s$) than sound ($332m/s$) , so we hear thunder after a few second of the flash .

Correct comparison between light waves and sound waves is:

  1. Both are mechanical waves

  2. Both need a material medium for propagation

  3. Both can travel through vacuum

  4. None


Correct Option: D
Explanation:

Sound waves are mechanical waves, light waves are electromagnetic waves. Light can travel through vacuum, sound cannot.

Sound waves travels _________ than light in vacuum.

  1. faster

  2. slower

  3. not slower

  4. Can't travel


Correct Option: D
Explanation:

Light waves are non mechanical waves. They don't need a material medium for their propagation. So they can travel through vacuum. But sound waves can't travel through vacuum.

Sound waves travels _____  light in air

  1. faster than

  2. slower than

  3. at same speed as

  4. either faster than or with same speed as


Correct Option: B
Explanation:

Light waves are non mechanical waves. Speed of non mechanical waves is much higher than mechanical waves.

The distance between tow adjacent particles which are in the same phase in a progressive wave is 20 cm. determine the velocity of the wave if its frequency is 10 Hz.

  1. $2 {ms}^{-1}$

  2. $40 {ms}^{-1}$

  3. $8 {ms}^{-1}$

  4. $80 {ms}^{-1}$


Correct Option: A

Light and Sound waves

  1. both are mechanical waves

  2. both need material media for propagation

  3. both can travel through vacuum

  4. are two different types of waves


Correct Option: D
Explanation:

Sound waves are mechanical waves which are longitudinal in nature and require material media to pass through.

Light waves are electromagnetic waves which are transverse in nature and do not require any material medium to pass through.

The thunder of a cloud is heard later compared to flash of lightning because :

  1. speed of sound is greater than speed of light

  2. speed of light is greater than speed of sound

  3. speed of sound is the same as speed of light

  4. sound is obscured by the rain


Correct Option: A
Explanation:

The light travels much faster than the sound. The thunder travels at the speed of sound while the light from the flash travels at the speed of the light. The speed of light is about 340 m/s through air, while the speed of light is about 300 million m/s.So the thunder is heard after the flash of lightening.

You see lightning before you hear the thunder because

  1. Lightning is much brighter than thunder.

  2. Thunder is heavier than lightning.

  3. Light can travel through air but sound cannot.

  4. Sound travels slower than light.


Correct Option: D
Explanation:

Answer is D.

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.
Hence, the flash of lightning is seen before the thunder is heard as the speed of sound is less than speed of light.

Speed of sound wave in a gas is $v _{1}$ and tins speed of molecules of the gas at the same temperature is $v _{2}$. Then :

  1. $ v _{1} = v _{2}$

  2. $ v _{1} < v _{2}$

  3. $ v _{1} > v _{2}$

  4. $v _{1}\le\ v _{2}$


Correct Option: A

A source of frequency 500Hz emits waves of wavelength 0.2m.How long does it take to travel 300 m?

  1. 70 s

  2. 60 s

  3. 12 s

  4. 3 s.


Correct Option: D

A worker lives at a distance of 1.32 km from the factory. If the speed of sound in air is 330 m$s^{-1}$, how long will the sound of factory siren take to reach the worker?

  1. 1 s

  2. 2 s

  3. 3 s

  4. 4 s


Correct Option: D
Explanation:

Given,


Distance $=1.32\,km=1320\,m$

Speed of sound in air $=330\,m/s$

We have,

$Time=\frac{Distance}{Speed}$

$Time=\frac{1320}{330}=4\,s$

Thus it would take $4\,s$ for the sound of the factory siren to reach the 
worker.

A thunder tap is heared 5 second after the lightening flash. The distance of the flash is (velocity of sound in air is 345 m/sec.) :

  1. 3560 m

  2. 1725 m

  3. 1780 m

  4. 1815 m


Correct Option: B
Explanation:

Given,

$v=345m/s$
$t=5sec$
The distance of the flash is,
$d=vt$
$d=345\times 5=1725m$
The correct option is B.

Two waves of wavelengths $\lambda$ and $(\lambda + \triangle \lambda)$ produce $6$ beats per second. If $\dfrac {\triangle \lambda}{\lambda} = \dfrac {\lambda + \triangle \lambda}{51}$, find the speed of sound wave in a gas in which these waves produce beats?

  1. $316\ m/s$

  2. $310\ m/s$

  3. $306\ m/s$

  4. $326\ m/s$


Correct Option: D

Flash and thunder are produced simultaneously. But the thunder is heard a few seconds after the flash is seen. Why?

  1. The speed of sound is greater than the speed of light.

  2. The speed of sound is equal to the speed of light.

  3. The speed of light is greater than the speed of sound.

  4. The speed of light is less than the speed of sound.


Correct Option: C
Explanation:

Flash and thunder are produced simultaneously. But the flash is seen first and then the sound is heard. This is because the speed of sound in air is very less than the speed of light in air.

Speed of sound in air $=334\,m/s$
Speed of light in air $=3\times 10^8\,m/s$

The speed of light in vaccum is....

  1. $3 \times {10^8}m/s$

  2. $0.3 \times {10^8}m/s$

  3. $9 \times {10^8}m/s$

  4. $30 \times {10^8}m/s$


Correct Option: A

The time interval between a lightning flash and the first sound of thunder was found to be $5 \ s$. If the speed of sound in air is $330  \ ms^{-1}$, find the distance of flash from the observer.

  1. $1650 \ m$

  2. $165 \ m$

  3. $330 \ m$

  4. None of the above


Correct Option: A
Explanation:

The speed of the sound, distance traveled and the time taken relationship is given as follows.


$Speed\; of\; sound=\dfrac { Distance\; travelled}{ Time\; taken} $

From this equation the Distance traveled is derived as 
$Distance\; travelled=Speed\; of\; sound\times Time\; taken$


That is, $Distance\; travelled=330\; m/s\times 5\; seconds$, given that the speed of sound is 330 m/s.

= 1650 meters.

Hence, the distance of flash from the observer is 1650 meters.

The speed of sound in a certain medium is $960 m/s$. If $3600$ waves pass over a certain point in 1 minute, the wavelength is,

  1. $2 m$

  2. $8 m$

  3. $4 m$

  4. $16 m$


Correct Option: D

When a tuning fork of 500 Hz is used, the first and second resonating lengths of closed air column are found to be 18 cm and 54 cm respectively. Find the velocity of sound in S.I. system.

  1. $120{ms}^{-1}$

  2. $240{ms}^{-1}$

  3. $360{ms}^{-1}$

  4. $480{ms}^{-1}$


Correct Option: C

An observer measures speed of light to be C when he is stationary with respect to the source. If the observer moves with velocity $\displaystyle v$ towards the source then the velocity of light observed will be :

  1. $\displaystyle c- v$

  2. $\displaystyle c + v$

  3. $\displaystyle \sqrt{1-v^2/c^2}$

  4. $\displaystyle c$


Correct Option: D
Explanation:

Speed of light does not change with the frame of reference.  Option 'D' is correct.

The frequency of fundamental mode of vibration of an air column enclosed in a closed end pipe is 250 Hz. If its length is 33 cm, then find the velocity of sound in air.

  1. $390 {ms}^{-1}$

  2. $160 {ms}^{-1}$

  3. $330 {ms}^{-1}$

  4. $150 {ms}^{-1}$


Correct Option: C

A wave has a frequency of $5$ GHz.
What is the period of the wave?

  1. $200$ ps

  2. $0.2$ ns

  3. $20$ ns

  4. $20000$ $\mu s$


Correct Option: B
Explanation:

Given that,


Frequency $f=5 GHz=5\times10^{9}\ Hz$


The period of the wave is reciprocal of frequency.

$T=\dfrac{1}{f}$

$T=\dfrac{1}{5\times10^{9}}$

$T=2\times10^{-10}$

$T=0.2\ ns$

The period of the wave is $0.2\ ns$

Hence, B is correct option.

Which of the following product of $e, h, \mu, G$ (where $\mu$ is the permeability) be taken so that the dimensions of the product are same as that of the speed of light?

  1. $h e^{-2} \mu^{-1} G^0$

  2. $h^2 e G^0 \mu$

  3. $h^0 e^2 G^{-1} \mu$

  4. $h G e^{-2} \mu^{0}$


Correct Option: A

The ratio of speed of ultrasonic wave and sound wave is:

  1. $=1$

  2. $>1$

  3. $<1$

  4. $>1$


Correct Option: A
Explanation:

Ultrasonic wave is  defined as “inaudible sound with high frequency for human” the frequency of which generally exceeds 20 kHz. These days, sound wave which is not intended to be heard is also called Ultrasonic wave .


Ultrasonic wave is also a type of sound wave so ratio of velocity is $=1$

As the train crosses a stationary observer, the apparent change in frequency of sound in the ratio $5:3$. If the velocity of sound in air $332\ m/s$, then velocity of train is

  1. $81\ m/s$

  2. $83\ m/s$

  3. $90\ m/s$

  4. $87\ m/s$


Correct Option: A

A laser signal sent towards the moon returns after T seconds.If c is the speed of light, then  the distance of the moon from the observer is given by

  1. cT

  2. $c{T^{ - 2}}$

  3. $\frac{{ct}}{2}$

  4. 2 cT


Correct Option: C

The speed of sound is $330 ms^{-1}$ and that of light is $3\times 10^8 ms^{-1}$. The ratio of speed of sound to that of light is approximately $1 : 10^6$.

  1. True

  2. False


Correct Option: A
Explanation:

Speed Of Sound$(V)$  is,  $330m/s$  and  that of Light$(U)$  is,  $300*10^{6}m/s$

Now we have to find,  $V:U$  and i.e.,  $V:U=330:300*10^{6}\cong1:10^{6}$ , because in comparison to $U$(Speed of Light)  ,  Speed of Sound$(V)$  is comparetively very $small$.
So, we can assume that, Speed of Sound$(V)$  is $300m/s$  in comparison to that of Speed of Light$(U)$ that is  $3*10^{6}$
Hence,  $V:U=1:10^{6}$

Hence, it is True.
Option A is correct

If you hear a gun shot 1 seconds after it is fired, how far away from the gun are you? (speed of sound in air $=330 ms^{-1})$

  1. 230 m

  2. 330 m

  3. 430 m

  4. 530 m


Correct Option: B
Explanation:

Here we use the concept of Distance formula i.e.,  $d=vt$ , where  $d$  is the distance travelled,  $v$  is the speed and $t$  is the time taken.

Now, According to question;
Given;  $t=1s$  and  $v=330m/s$,
have to find  $d$  and that is,  $d=vt=330*1=330m$

Hence, option  B  is correct.

Light .......... travel in vacuum , but the sound ........ travel in vacuum.

  1. Cannot , can

  2. Can, cannot

  3. Sometimes, never

  4. Never, sometimes


Correct Option: B
Explanation:

The light can travel in vacuum, but the sound can not travel in vacuum. speed of light in air is $\displaystyle 3\times { 10 }^{ 8 }{ m }/{ s }$

Speed of light in air is about ....... times greater than the speed of sound in air.

  1. Million

  2. Trillion

  3. Billion

  4. None


Correct Option: A
Explanation:

The speed of light in air is $\displaystyle 3\times { 10 }^{ 8 }{ m }/{ s }$ which is about a million times greater than the speed of sound in air (i.e. 330 m/s at $\displaystyle { 0 }^{ \circ  }C$

An aeroplane travelling at the speed of sound will have a velocity of:

  1. 1000 km/hr

  2. 1180 km/hr

  3. 1540 k/hr

  4. 1620 k/hr


Correct Option: B
Explanation:

Speed of sound in air is , $v=330m/s=330\times18/5=1188km/hr$ , as stated that aeroplane is travelling with the velocity of sound therefore its velocity is $1188km/hr$ .

The correct statement is:

  1. Sound and light both require medium for propagation.

  2. Sound can travel in vacuum, but light can not.

  3. Sound needs medium, but light does not need medium for its propagation.

  4. Sound and light both can travel in vacuum.


Correct Option: C
Explanation:

Sound waves need to travel through a medium such as a solid, liquid, or gas. The sound waves move through each of these mediums by vibrating the molecules in the matter. The molecules in solids are packed very tightly. Liquids are not packed as tightly as solids. And gasses are very loosely packed. The spacing of the molecules enables sound to travel much faster through a solid than a gas. Sound travels about four times faster and farther in water than it does in air. 
Sound waves are traveling vibrations of particles in media such as air, water or metal. So it stands to reason that they cannot travel through empty space, where there are no atoms or molecules to vibrate.
Light travels as a wave. But unlike sound waves or water waves, it does not need any matter or material to carry its energy along. This means that light can travel through a vacuum, a completely airless space. Nothing travels faster than light energy. 
Hence, the statement "
Sound needs medium, but light does not need medium for its propagation." is correct.

 A stone is dropped from the top of a tower $500$m high into a pond of water at the base of the tower. When is the splash heard at the top ? (Given $g = 10 ms^{-2}$ and speed of sound =$ 340 ms^{-1}$)

  1. $10s$

  2. $11.47s$

  3. $1.10s$

  4. $20s$


Correct Option: B
Explanation:

Given -  $h=500m   ,  g10m/s^{2} ,  v=340m/s$ ,

by ,  $h=ut+(1/2)gt^{2}$ ,
        $500=0+(1/2)10t^{2}$  ,   (initial velocity , $u=0$) ,
or     $t^{2}=1000/10=100$ ,
or     $t=10s$ ,
it is the time taken by stone to reach the water level , after that a sound is produced due to strike of stone on water , and sound travels upwards .Let t' be the time taken by sound to reach the base of tower ,
then , $t'=h/v=500/340=1.47s$ ,
therefore time taken by splash to hear at the top ,
        $T=t+t'=10+1.47=11.47s$

If the pressure of the medium increases then the speed of sound

  1. Increases

  2. Decreases

  3. Remains constant

  4. None


Correct Option: C
Explanation:

The speed of sound does not depend on the pressure of the medium provided temperature remains constant.

What is the change in frequency observed by a stationary observer when a source of frequency f; Take speed of sound in $air=V _0$

  1. $\frac{V _0}{V _0+V _s}f$

  2. $\frac{V _0V _s}{V _0+V _s}f$

  3. $\frac{2V _0V _s}{V _0^2-V _s^2}f$

  4. $\frac{2V _s}{V _0^2-V _s^2}f$


Correct Option: B

The sound of lightning flash is heard $3$ second after the flash is seen. The distance of the lightning is $1020$ metre. The speed of sound is:

  1. $1400\ m/s$

  2. $332\ m/s$

  3. $340\ m/s$

  4. $none\ of\ these$


Correct Option: C
Explanation:

Given data,
Distance $d=1020 m$
Time $t=3s$
Speed$=?$
$Speed=\dfrac{distance }{time}=\dfrac{1020}{3}=340 m/s$

The speed of sound in air is  330m/s. It takes 10s for sound to reach a certain distance from the source placed in air. Find the distance.

  1. 669m

  2. 330m

  3. 3300m

  4. 1200m


Correct Option: C
Explanation:

$\displaystyle V=330{ m }/{ s },t=2s,V=\frac { d }{ t } $
$\displaystyle d=V\times t$
$\displaystyle =330\times 10=3300m$

The smoke from a gun barrel is seen 10s before the explosion is heard. If the speed of sound in air is 340 m/s. Calculate the distance of observer from the gun :

  1. 3400m

  2. 2402m

  3. 62m

  4. 900m


Correct Option: A
Explanation:

Speed of sound = 340 m/s
time = 10s
Speed = Distance travelled / time taken
Distance = speed x time
=340 x 10 = 3400 m.

On a hot, dry summer day a boy is standing between plane parallel vertical cliffs separated by $75m$. He is $30$m away from one of the cliffs. Consider speed of sound in air on that hot day to be $360m/s$. The boy claps loudly and hearts its successive echoes. The time in seconds at which he hears the first four echoes are respectively

  1. $\displaystyle \frac{1}{6}, \frac{1}{4}, \frac{5}{12}, \frac{5}{12}$

  2. $\displaystyle \frac{1}{6}, \frac{1}{4}, \frac{7}{12}, \frac{2}{3}$

  3. $\displaystyle \frac{1}{4}, \frac{1}{3}, \frac{5}{12}, \frac{5}{12}$

  4. $\displaystyle \frac{1}{6}, \frac{1}{4}, \frac{1}{3}, \frac{5}{12}$


Correct Option: A
Explanation:

First echo : When sound goes to the cliff 1 and returns to his ear

Distance traveled by sound, $S = 30+30 = 60$ m
Time taken, $t _1 = \dfrac{60}{360} = \dfrac{1}{6}$ s

Second echo : When sound goes to the cliff 2 and returns to his ear
Distance traveled by sound, $S = 45+45 = 90$ m
Time taken, $t _2 = \dfrac{90}{360} = \dfrac{1}{4}$ s

Third echo : When the reflected sound from cliff 1 goes to the cliff 2 and returns to his ear
Distance traveled by sound, $S = 30+75+45 = 150$ m
Time taken, $t _3 = \dfrac{150}{360} = \dfrac{5}{12}$ s

Fourth echo : When the reflected sound from cliff 2 goes to the cliff 1 and returns to his ear
Distance traveled by sound, $S = 45+75+30 = 150$ m
Time taken, $t _4 = \dfrac{150}{360} = \dfrac{5}{12}$ s

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