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11th Physics Weekly Test - 1 ( Waves )

MABS Institution

11th Physics Weekly Test - 1 ( Waves )-Aug 2020

Time : 1.30 Hours

Part - A

Multiple Choice Question - Answer All Question

If we study the vibration of a pipe open at both ends, then which of the following statement is not true?

open end will be antinode
odd harmonics of the fundamental frequency will be generated
all harmonics of the fundamental
pressure change will be maximum at both ends.

An organ pipe A closed at one end is allowed to vibrate in its first harmonic and another pipe B open at both ends is allowed to vibrate in its third harmonic. Both A and B are in resonance with a given tuning fork. The ratio of the length of A and B is

\(\frac{8}{3}\)
\(\frac{3}{8}\)
\(\frac{1}{6}\)
\(\frac{1}{3}\)

A train moving at a speed of 220 m/s towards a stationary object, emits a sound of frequency 1000 Hz. Some of the sound reaching the object gets reflected back to the train as echo. The frequency of the echo as detected by the driver of the trairi is

3000 Hz
3500 Hz
4000 Hz
5000 Hz

A source of sounds emiting waves of frequency 100 Hz and an observer 0 are located at same distance from each other The source is moving with a speed of 19.4 ms^-1 at an angle of 60° with the source-observer line as shown in the figure. The observer is at rest. The apparent frequency observed by the observer (velocity of sound in air 330 ms^-1) is

97 Hz
100 Hz
103 Hz
106 Hz

Sound waves travel at 350 m/s through warm air and at 3500 m/s through brass. The wavelength of a 700 Hz acoustic wave as it enters brass from warm air

increases by a factor 20
increases by a factor 10
decreases by a factor 20
decreases by a factor 10

Speed of sound in a gas in proportional to _________.

square root of isothermal elasticity
square root of adiabatic elasticity
isothermal elasticity
adiabatic elasticity

A source of sounds is travelling with a velocity of 40 km/hr towards an observer and emits sound of frequency 2000 Hz. If the velocity of sound is 1220 km/hr, then what is the apparent frequency heard by the observer?

2068 Hz
2180 Hz
2000 Hz
1980 Hz

The speed of sound in oxygen is 332 m1s at STP. The speed of sound in hydrogen at STP will be _________

53/2 m/s
2546 m/s
1328 m/s
664 m/s

Beats occur because of

interference
reflection
refraction
Doppler effect

A transverse wave propagating along x-axis is represented by y)x,t)=8.0sin \(\left( 0.5\pi x-4\pi -\frac { \pi }{ 2 } \right) \) where x is in metres and t is in seconds. The speed of the wave is _________.

0.5m/s
\(\frac{\pi}{4}\)m/s
8 m/s
4π m/s

Part - B

Generic 2 - Answer All Question

Define reverberation time?

What is meant by waves?.
Sketch the function y = x + a. Explain your sketch.

Tube A. has both ends open, while B has on end closed otherwise the two tubes are identical. What is the ratio of fundamental frequency of the tubes A and B?

What is meant by threshold of heating?

Part - C

Generic 3 - Answer All Question

Check the dimensional of the wave y = sin(x−vt). If it is dimensionally wrong, write the above equation in the correct form

How are sound waves-classified?

An observer observes two moving trains, one reaching the station and other leaving the station with equal speeds of 8 m s⁻¹. If each train sounds its whistles with frequency 240 Hz, then calculate the number of beats heard by the observer.
Derive the relation between Intensity and loudness

If a flute sounds a note with 450Hz, what are the frequencies of the second, third, and fourth harmonics of this pitch?. If the clarinet sounds with a same note as 450Hz, then what are the frequencies of the lowest three harmonics produced ?.

Part - D

Generic 5 - Answer All Question

Briefly explain the concept of superposition principle.

Let f be the fundamental frequency of the string. If the string is divided into three segments l₁, l₂ and l₃ such that the fundamental frequencies of each segments be f₁, f₂ and f₃, respectively. Show that
\(\frac { 1 }{ f } =\frac { 1 }{ { f }_{ 1 } } +\frac { 1 }{ { f }_{ 2 } } +\frac { 1 }{ { f }_{ 3 } } \)

The ratio of the densities of oxygen and nitrogen is 16:14. Calculate the temperature when the speed of sound in nitrogen gas at 17°C is equal to the speed of sound in oxygen gas.
Consider two sound waves with wavelengths 5 m and 6 m. If these two waves propagate in a gas with velocity 330 ms-1. Calculate the number of beats per second.

A transverse harmonic wave on a string is described by y(x, t) =5.0 sin (48t + 0.0264x + ), where x and yare in em and t in sec. The positive direction of x is from left to right.
(a) What are its amplitude and frequency?
(b) What is the least distance between two success in crests in the wave?

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