Questions

M.C.Q (1 Marks)

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47 questions · 46 auto-graded MCQ + 1 self-marked written.

MCQ 11 Mark
The walls of the hall built for music concerns should
  • A
    amplify sound
  • B
    Reflect sound
  • C
    transmit sound
  • Absorb sound
Answer
Correct option: D.
Absorb sound
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MCQ 31 Mark
The Laplace’s correction in the expression for velocity of sound given by Newton is needed because sound waves
  • A
    are longitudinal
  • B
    propagate isothermally
  • propagate adiabatically
  • D
    are of long wavelength
Answer
Correct option: C.
propagate adiabatically
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MCQ 41 Mark
When sound waves travel from air to water, which of these remains constant ?
  • A
    Velocity
  • Frequency
  • C
    Wavelength
  • D
    All of above
Answer
Correct option: B.
Frequency
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MCQ 51 Mark
A sound carried by the air from a sitar to a listener is a wave of the following type.
  • A
    Longitudinal stationary
  • B
    Transverse progressive
  • C
    Transverse stationery
  • Longitudinal progressive
Answer
Correct option: D.
Longitudinal progressive
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MCQ 61 Mark
When both source and listener are approaching each other the observed frequency of sound is given by ( $V_L$ and $V_S$ is the velocity of listener and source respectively, $n_0=$ radiated frequency)
  • $n=n_0\left[\frac{V+V_L}{V-V_S}\right]$
  • B
    $n=n_0\left[\frac{V-V_L}{V+V_S}\right]$
  • C
    $n=n_0\left[\frac{V-V_L}{V-V_S}\right]$
  • D
    $n=n_0\left[\frac{V+V_L}{V+V_S}\right]$
Answer
Correct option: A.
$n=n_0\left[\frac{V+V_L}{V-V_S}\right]$
(a) :As, both source and listener are approaching to each other.
So, by Doppler's effect
$
n=n_0\left(\frac{V+V_L}{V-V_S}\right)
$Image
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MCQ 71 Mark
Sound waves of frequency $600 Hz$ fall normally on a perfectly reflecting wall. The shortest distance from the wall at which all particles will have maximum amplitude of vibration is (speed of sound $=300 m s ^{-1}$ )
  • A
    $\frac{1}{4} m$
  • $\frac{1}{8} m$
  • C
    $\frac{3}{8} m$
  • D
    $\frac{7}{8} m$
Answer
Correct option: B.
$\frac{1}{8} m$
(b) :The minimum distance of rarefaction is $\frac{\lambda}{4}$ As, $v=\lambda f$
$
\lambda=\frac{v}{f}=\frac{300}{600}=\frac{1}{2} m ; \quad d=\frac{\lambda}{4}=\frac{1}{8} m
$
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MCQ 81 Mark
A source of sound is moving towards a stationary observer with $\left(\frac{1}{10}\right)^{\text {th }}$ of the speed of sound. The ratio of apparent to real frequency is
  • $10: 9$
  • B
    $11: 10$
  • C
    $(11)^2:(10)^2$
  • D
    $(9)^2:(10)^2$
Answer
Correct option: A.
$10: 9$
(a) : $V_{\text {sound }}=v, V_{\text {source }}=v / 10$
$
f^{\prime}=f\left(\frac{v-0}{v-\frac{v}{10}}\right)=\frac{10}{9} f ; \frac{f^{\prime}}{f}=\frac{10}{9}
$
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MCQ 91 Mark
A progressive wave is given by $y=12 \sin (5 t-4 x)$. On this wave, how far away are the two points having a phase difference of $90^{\circ}$ ?
  • A
    $\frac{\pi}{4}$
  • $\frac{\pi}{8}$
  • C
    $\frac{\pi}{16}$
  • D
    $\frac{\pi}{32}$
Answer
Correct option: B.
$\frac{\pi}{8}$
(b) :$y=12 \sin (5 t-4 x)$
Here, phase is $5 t-4 x$. Let two points $x_1$ and $x_2$ differ
$
\begin{aligned}
& \text { by } \frac{\pi}{2} \\
& \Rightarrow\left(5 t-4 x_1\right)-\left(5 t-4 x_2\right)=\frac{\pi}{2} \\
& 4\left(x_2-x_1\right)=\frac{\pi}{2} ; x_2-x_1=\frac{\pi}{8} \\
&
\end{aligned}
$
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MCQ 101 Mark
The equation of the wave is $y=10 \sin \left(\frac{2 \pi t}{30}+\alpha\right)$. If the displacement is $5 cm$ at $t=0$ then the total phase at $t=7.5 s$ will be $\left(\sin 30^{\circ}=0.5\right)$
  • A
    $\frac{\pi}{3} rad$
  • B
    $\frac{\pi}{2} rad$
  • C
    $\frac{2 \pi}{5} rad$
  • $\frac{2 \pi}{3} rad$
Answer
Correct option: D.
$\frac{2 \pi}{3} rad$
(d) : $y=10 \sin \left(\frac{2 \pi}{30}+\alpha\right)$
At $t=0, y=5 cm \quad \therefore 5=10 \sin \alpha$ $\sin \alpha=\frac{1}{2} \Rightarrow \alpha=\frac{\pi}{6}$ radian
$\begin{aligned} \text { Total phase } & =\frac{2 \pi t}{30}+\alpha=\frac{2 \pi}{30} \times 7.5+\frac{\pi}{6} \\ & =\frac{\pi}{2}+\frac{\pi}{6}=\frac{3 \pi+\pi}{6}=\frac{4 \pi}{6}=\frac{2 \pi}{3}\end{aligned}$
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MCQ 111 Mark
The displacement of a wave travelling in the $x$ direction is $y=10^{-4} \sin \left[600 t-2 x+\frac{\pi}{3}\right] m$, where $x$ is in metre and $t$ in second. The speed of the wave is
  • $300 m / s$
  • B
    $200 m / s$
  • C
    $150 m / s$
  • D
    $600 m / s$
Answer
Correct option: A.
$300 m / s$
(a) :The given equation,
$
y=10^{-4} \sin \left[600 t-2 x+\frac{\pi}{3}\right] m
$
On comparing this equation with standard equation with standard equation, $y=A \sin (\omega t-k x)$, we get
$
\begin{aligned}
\omega & =600 ; k=2 \\
v & =\frac{\omega}{k}=\frac{600}{2}=300 m / s
\end{aligned}
$
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MCQ 121 Mark
Sound of frequency $1000 Hz$ from a stationary source is reflected from an object approaching the source at $30 m s ^{-1}$, back to a stationary observer located at the source. The speed of sound in air is $330 m s ^{-1}$. The frequency of the sound heard by the observer is
  • $1200 Hz$
  • B
    $1000 Hz$
  • C
    $1090 Hz$
  • D
    $1100 Hz$
Answer
Correct option: A.
$1200 Hz$
(a) :The frequency of sound from the stationary source reaches the object which is approaching towards the source is
$
n^{\prime}=n_0\left(\frac{v+v_o}{v}\right)
$
where, $n_0=$ frequency of source, $v=$ speed of sound in air and $v_o=$ speed of the object.
The frequency of reflected sound from the object heard by the stationary observer located at the source is
$
\begin{aligned}
& n^{\prime \prime}=n^{\prime}\left(\frac{v}{v-v_o}\right)=n_0\left(\frac{v+v_o}{v-v_o}\right) \\
& =1000\left(\frac{330+30}{330-30}\right)=1200 Hz
\end{aligned}
$
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MCQ 131 Mark
When source of sound moves towards a stationary observer, the wavelength of sound received by him
  • decreases while frequency increases.
  • B
    remains the same whereas frequency increases.
  • C
    increases and frequency also increases.
  • D
    decreases while frequency remains the same.
Answer
Correct option: A.
decreases while frequency increases.
(a) :The apparent frequency of sound during the relative motion of source and observer is given by
$
n_a=n\left[\frac{v \pm v_o}{v \mp v_s}\right]
$
Since observer is at rest at $v_o=0$
$
n_a=n\left[\frac{v}{v-v_s}\right]
$
So, the frequency increase, as wavelength decreases.
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MCQ 141 Mark
The observer is moving with velocity $v_0$ towards the stationary source of sound and then after crossing moves away from the source with velocity $v_0$. Assume that the medium through which the sound waves travel is at rest. If $v$ is the velocity of sound and $n$ is the frequency emitted by the source then the difference between apparent frequencies heard by the observer is
  • $\frac{2 n v_0}{v}$
  • B
    $\frac{n v_0}{v}$
  • C
    $\frac{v}{2 n v_0}$
  • D
    $\frac{v}{n v_0}$
Answer
Correct option: A.
$\frac{2 n v_0}{v}$
(a) :The frequency heard by the observer, when moving towards the stationary source
$
n^{\prime}=n\left(\frac{v+v_0}{v}\right)
$
The frequency heard by the observer, when moving away from the stationary source
$
n^{\prime \prime}=n\left(\frac{v-v_0}{v}\right)
$
The difference between apparent frequencies $=n^{\prime}-n^{\prime \prime}$
$
=\frac{n}{v}\left[v+v_0-v+v_0\right]=\frac{2 n v_0}{v}
$
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MCQ 151 Mark
When the observer moves towards the stationary source with velocity, $V_1$, the apparent frequency of emitted note is $F_1$. When the observer moves away from the source with velocity $V_1$, the apparent frequency is $F_2$. If $V$ is the velocity of sound in air and $\frac{F_1}{F_2}=2$ then $\frac{V}{V_1}=$ ?
  • A
    2
  • 3
  • C
    4
  • D
    5
Answer
Correct option: B.
3
(b) :When the observer moves towards the stationary source, apparent frequency of emitted note,
$
F_1=\left(\frac{V+V_1}{V}\right) n ...(i)
$
When the observer moves away from the stationary source, apparent frequency of emitted note
$
F_2=\left(\frac{V-V_1}{V}\right) n
$ ...(ii)
Dividing eqn. (i) by eqn. (ii), we get
$
\begin{aligned}
& \frac{F_1}{F_2}=\frac{V+V_1}{V-V_1} \\
& \because \quad \frac{F_1}{F_2}=2 \text { (given) } \therefore \quad \frac{V+V_1}{V-V_1}=2 \\
& \Rightarrow \quad V+V_1=2 V-2 V_1 \Rightarrow V=3 V_1 \text { or } \frac{V}{V_1}=3
\end{aligned}
$
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MCQ 161 Mark
The pitch of the whistle of an engine appears to drop to $\left(\frac{5}{6}\right)^{\text {th }}$ of original value when it passes a stationary observer. If the speed of sound in air is $350 m / s$ then the speed of engine is
  • A
    $35 m / s$
  • $70 m / s$
  • C
    $105 m / s$
  • D
    $140 m / s$
Answer
Correct option: B.
$70 m / s$
(b) :Pitch of sound depends on its frequency.
Speed of sound, $v=350 m s ^{-1}$
Speed of engine, $u_s=$ ?
Apparent pitch (frequency) heard by observer $=\left(\frac{5}{6}\right)^{\text {th }}$ of original pitch (frequency) of engine.
Let original frequency of the engine be $v_0$.
Apparent frequency heard by stationary observer $=0$
Then $v=\left(\frac{5}{6}\right) v_0$
$\because \quad$ Engine is moving away from the source
$
\therefore \quad v=\left(\frac{v}{v+u_s}\right) v_0
$
So, $\frac{5}{6} v_0=\frac{350}{350+u_s} \times v_0$
$
350+u_s=420 \therefore u_s=70 m s ^{-1} .
$
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MCQ 171 Mark
A plane sound wave travelling with velocity $v$ in a medium $A$ reaches a point on the interface of medium $A$ and medium $B$. If velocity of sound in medium $B$ is $2 v$, the angle of incidence for total internal reflection of the wave will be greater than $\left(\sin 30^{\circ}=0.5\right.$ and $\left.\sin 90^{\circ}=1\right)$
  • A
    $15^{\circ}$
  • $30^{\circ}$
  • C
    $45^{\circ}$
  • D
    $90^{\circ}$
Answer
Correct option: B.
$30^{\circ}$
(b) :Let $i$ be angle of incidence and $i_c$ be the critical angle.
For total internal reflection, $i>i_c$
Here, $\sin i_c=\frac{v}{2 v}=\frac{1}{2}$
or $i_c=\sin ^{-1}\left(\frac{1}{2}\right)=\sin ^{-1}(0.5)=30^{\circ} \quad \therefore \quad i>30^{\circ}$
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MCQ 181 Mark
The formula for speed of a transverse wave on a stretched spring is ……………… (m = linear mass density, T = tension in Spring)
  • A
    $V =\sqrt{\frac{m}{T}}$
  • $V =\sqrt{\frac{T}{m}}$
  • C
    $V =\left(\frac{m}{T}\right)^{\frac{3}{2}}$
  • D
    $V =\left(\frac{T}{m}\right)^{\frac{3}{2}}$
Answer
Correct option: B.
$V =\sqrt{\frac{T}{m}}$
$V =\sqrt{\frac{T}{m}}$
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MCQ 191 Mark
The working of SONAR is based on …………………
  • A
    resonance
  • B
    speed of a star
  • Doppler effect
  • D
    speed of rotation of sun
Answer
Correct option: C.
Doppler effect
Doppler effect
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MCQ 201 Mark
If the source is moving away from the observer, then the apparent frequency …………..
  • A
    will increase
  • B
    will remain the same
  • C
    will be zero
  • will decrease
Answer
Correct option: D.
will decrease
will decrease
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MCQ 211 Mark
If the velocity of sound in hydrogen is $1248 \ m/s,$ the velocity of sound in oxygen is $[$Given $: M_O = 32$ and $M_H = 2]$
  • A
    $1248 \ m/s$
  • B
    $624 \ m/s$
  • $312 \ m/s$
  • D
    $300 \ m/s$
Answer
Correct option: C.
$312 \ m/s$
$312 \ m/s$
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MCQ 221 Mark
The speed of sound in air at $\text{NTP}$ is $330 \ m/s.$ The period of sound wave of wavelength $66 \ cm$ is $………$
  • A
    $0.2 s$
  • B
    $0.1$
  • C
    $0.1 \times 10^{-2} s$
  • $0.2 \times 10^{-2} s$
Answer
Correct option: D.
$0.2 \times 10^{-2} s$
$0.2 \times 10^{-2} s$
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MCQ 231 Mark
A thunder clap was heard 6 seconds after a lightening flash was seen. If the speed of sound in air is 340 m/s at the time of observation, the distance of the listener from the thunder clap is ………………
  • A
    56.6 m
  • B
    346 m
  • C
    1020 m
  • 2040 m
Answer
Correct option: D.
2040 m
2040 m
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MCQ 241 Mark
A sound note emitted from a certain source has a velocity of 300 m/s in air and 1050 m/s in water. If the wavelength of sound note in air is 2 m, the wavelength in water is …………
  • A
    2 m
  • B
    6 m
  • 7 m
  • D
    12 m
Answer
Correct option: C.
7 m
 7 m
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MCQ 251 Mark
Choose the correct statement.
  • For 1 °C rise in temperature, velocity of sound increases by 0.61 m/s.
  • B
    For 1 °C rise in temperature, velocity of sound decreases by 0.61 m/s.
  • C
    For $1^{\circ} C$ rise in temperature, velocity of sound decreases by $\frac{1}{273} m / s$.
  • D
    For $1^{\circ} C$ rise in temperature, velocity of sound increases by $\frac{1}{273} m / s$.
Answer
Correct option: A.
For 1 °C rise in temperature, velocity of sound increases by 0.61 m/s.
For 1 °C rise in temperature, velocity of sound increases by 0.61 m/s.
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MCQ 261 Mark
The velocity of sound in a gas is 340 m/s at the pressure P, what will be the velocity of the gas when only pressure is doubled and temperature same?
  • A
    170 m/s
  • B
    243 m/s
  • 340 m/s
  • D
    680 m/s
Answer
Correct option: C.
340 m/s
340 m/s
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MCQ 271 Mark
The wavelength of sound in air is 1.5 m and that in liquid is 2 m. If the velocity of sound in air is 330 m/s, the velocity of sound in liquid is
  • A
    330 m/s
  • 440 m/’s
  • C
    495 m/s
  • D
    660 m/s
Answer
Correct option: B.
440 m/’s
440 m/’s
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MCQ 281 Mark
Wavelength of the transverse wave is 30 cm. If the particle at some instant has displacement 2 cm, find the displacement of the particle 15 cm away at the same instant.
  • A
    2 cm
  • B
    17 cm
  • -2 cm
  • D
    -17 cm
Answer
Correct option: C.
-2 cm
-2 cm
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MCQ 291 Mark
Longitudinal waves CANNOT be …………………
  • A
    reflected
  • B
    refracted
  • C
    scattered
  • polarised
Answer
Correct option: D.
polarised
polarised
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MCQ 301 Mark
The speed of the mechanical wave depends upon ………………
  • A
    elastic properties of the medium only.
  • B
    density of the medium only.
  • elastic properties and density of the medium
  • D
    initial speed.
Answer
Correct option: C.
elastic properties and density of the medium
elastic properties and density of the medium
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MCQ 311 Mark
Wave motion has ……………………
  • A
    single periodicity.
  • double periodicity.
  • C
    only periodicity in space.
  • D
    only periodicity in time.
Answer
Correct option: B.
double periodicity.
double periodicity.
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MCQ 321 Mark
If pressure of air gets doubled at constant temperature then velocity of sound in air ……………….
  • A
    gets doubled
  • remains unchanged
  • C
    √2 times initial velocity
  • D
    becomes half
Answer
Correct option: B.
remains unchanged
remains unchanged
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MCQ 331 Mark
In a transverse wave, are regions of negative displacement.
  • A
    rarefactions
  • B
    compressions
  • C
    crests
  • troughs
Answer
Correct option: D.
troughs
troughs
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MCQ 341 Mark
At normal temperature, for an echo to be heard the reflecting surface should be at a minimum distance of ………………. m.
  • A
    34.4
  • 17.2
  • C
    10
  • D
    20
Answer
Correct option: B.
17.2
17.2
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MCQ 351 Mark
For a progressive wave, in the usual notation
  • A
    $V=\lambda T$
  • $n =\frac{V}{\lambda}$
  • C
    $T =\lambda V$
  • D
    $\lambda=\frac{1}{n}$
Answer
Correct option: B.
$n =\frac{V}{\lambda}$
$n =\frac{V}{\lambda}$
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MCQ 361 Mark
If speed of sound in air at 0°C is 331 m/s. What will be its value at 35° C?
  • A
    331 m/s
  • B
    366 m/s
  • 351.6 m/s
  • D
    332 m/s.
Answer
Correct option: C.
351.6 m/s
351.6 m/s
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MCQ 371 Mark
If the bulk modulus of water is 2100 MPa, what is the speed of sound in water?
  • 1450 m/s
  • B
    2100 m/s
  • C
    0.21 m/s
  • D
    21 m/s
Answer
Correct option: A.
1450 m/s
1450 m/s
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MCQ 381 Mark
A radio station broadcasts at 760 kHz. What is the wavelength of the station?
  • 395 m
  • B
    790 m
  • C
    760 m
  • D
    197.5 m
Answer
Correct option: A.
395 m
395 m
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MCQ 391 Mark
A series of ocean waves, each 5.0 m from crest to crest, moving past the observer at a rate of 2 waves per second have wave velocity
  • A
    2.5 m/s
  • B
    5.0 m/s
  • C
    8.0 m/s
  • 10.0 m/s
Answer
Correct option: D.
10.0 m/s
10.0 m/s
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MCQ 401 Mark
The velocity of sound in air at NTP is 330 m/s. What will be its value when temperature is doubled and pressure is halved?
  • A
    330 m/s
  • B
    165 m/s
  • C
    330 √2 m/s
  • $\frac{330}{\sqrt{ } 2} m / s$
Answer
Correct option: D.
$\frac{330}{\sqrt{ } 2} m / s$
$\frac{330}{\sqrt{ } 2} m / s$
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MCQ 411 Mark
The temperature at which speed of sound in air becomes double its value at 0 °C is ……………….
  • A
    546 °C
  • 819 °C
  • C
    273 °C
  • D
    1092 °C
Answer
Correct option: B.
819 °C
819 °C
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MCQ 421 Mark
With decrease in water vapour content in air, velocity of sound …………………..
  • A
    increases
  • decreases
  • C
    remains constant
  • D
    cannot say
Answer
Correct option: B.
decreases
decreases
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MCQ 431 Mark
At a given temperature, velocity of sound in oxygen and in hydrogen has the ratio …………………
  • A
    4:1
  • B
    1:4
  • C
    1:1
  • D
    2:1
Answer
1 : 4
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MCQ 441 Mark
In a gas, velocity of sound varies directly as ………………
  • A
    square root of isothermal elasticity.
  • B
    square of isothermal elasticity.
  • square root of adiabatic elasticity.
  • D
    adiabatic elasticity.
Answer
Correct option: C.
square root of adiabatic elasticity.
square root of adiabatic elasticity.
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MCQ 451 Mark
At room temperature, velocity of sound in air at 10 atmospheric pressure and at 1 atmospheric pressure will be in the ratio ……………..
  • A
    10:1
  • B
    1 : 10
  • 1 : 1
  • D
    cannot say
Answer
Correct option: C.
1 : 1
1 : 1
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MCQ 461 Mark
Sound travels fastest in ……………..
  • A
    water
  • B
    air
  • steel
  • D
    kerosene oil
Answer
Correct option: C.
steel
steel
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MCQ 471 Mark
Water waves are …………….
  • A
    longitudinal
  • B
    transverse
  • both longitudinal and transverse
  • D
    neither longitudinal nor transverse
Answer
Correct option: C.
both longitudinal and transverse
both longitudinal and transverse
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