EASY

Earn 100

A student performed the experiment to measure the speed of sound in air using resonance air-column method. Two resonances in the air-column were obtained lowering the water level. The resonance with the shorter air-column is the first resonance and that with the longer air column is the second resonance. Then,

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Important Questions on Superposition of Waves

HARD

Physics>Waves and Oscillations>Superposition of Waves>Resonance

Explain the formation of stationary waves in an air column enclosed in an open pipe. Derive the equations for the frequencies of the harmonics produced. A closed organ pipe

70 cm

long is sounded. If the velocity of the sound is

331 m / s

, what is the fundamental frequency of vibration of the air column

?

HARD

Physics>Waves and Oscillations>Superposition of Waves>Resonance

In an experiment, to measure the speed of sound by a resonating air column, a tuning fork of frequency

500 Hz

is used. The length of the air column is varied by changing the level of water in the resonance tube. Two successive resonances are heard at air columns of length

50 .7 cm

and

83 .9 cm

. Which of the following statements is (are) true?

HARD

Physics>Waves and Oscillations>Superposition of Waves>Resonance

Explain the formation of stationary waves in an air column enclosed in an open pipe. Derive the equations for the frequencies of the harmonics produced. A closed organ pipe

70 cm

long is sounded. If the velocity of the sound is

331 m / s

, what is the fundamental frequency of vibration of the air column

?

MEDIUM

Physics>Waves and Oscillations>Superposition of Waves>Resonance

A closed organ pipe has a fundamental frequency of

1.5 kHz

. The number of overtones that can be distinctly heard by a person with this organ pipe will be

(

Assume that the highest frequency a person can hear is

20,000 Hz

EASY

Physics>Waves and Oscillations>Superposition of Waves>Resonance

A tuning fork is used to produce resonance in glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of

27^{o} C

two successive resonances are produced at

20 cm

and

73 cm

of column length. If the frequency of the tuning fork is

320 Hz

, the velocity of sound in air at

27^{o} C

HARD

Physics>Waves and Oscillations>Superposition of Waves>Resonance

A tunning fork of frequency

340 Hz

resonates in the fundamental mode with an air column of length

125 cm

in a cylindrical tube closed at one end. When water is slowly poured in it, the minimum height of water required for observing resonance once again is _____

cm

.
(Velocity of sound in air is

340 {ms}^{- 1}

)

HARD

Physics>Waves and Oscillations>Superposition of Waves>Resonance

Explain the formation of stationary waves in an air column enclosed in open pipe. Derive the equations for the frequencies of the harmonics produced.

An open organ pipe $30 cm$ long is sounded. If the velocity of sound is $330 m / s$ , what is the fundamental frequency of vibration of the air column?

HARD

Physics>Waves and Oscillations>Superposition of Waves>Resonance

The end correction of a resonance column is

1 cm

. If the shortest length resonating with the tuning fork is

10 cm

, the next resonating length should be

MEDIUM

Physics>Waves and Oscillations>Superposition of Waves>Resonance

A one metre long (both ends open) organ pipe is kept in a gas that has double the density of air at STP. Assuming the speed of sound in air at STP is

300 m / s,

the frequency difference between the fundamental and second harmonic of this pipe is __________ Hz.

MEDIUM

Physics>Waves and Oscillations>Superposition of Waves>Resonance

An open pipe resonates with a tuning fork of frequency

500 Hz

. It is observed that two successive nodes are formed at distances

16

and

46 cm

from the open end. The speed of sound in air in the pipe is

EASY

Physics>Waves and Oscillations>Superposition of Waves>Resonance

A string is stretched between fixed points separated by 75.0 cm. It is observed to have resonant frequencies of 420 Hz and 315 Hz. There are no other resonant frequencier between these two. The lowest resonant frequency for this string is:

EASY

Physics>Waves and Oscillations>Superposition of Waves>Resonance

An air column, closed at one end and open at the other, resonates with a tuning fork when the smallest length of the column is

50 cm

. The next larger length of the column resonating with the same tuning fork is:

MEDIUM

Physics>Waves and Oscillations>Superposition of Waves>Resonance

A sonometer wire of length

1 .5 m

is made of steel. The tension in it produces an elastic strain of

1%

. What is the fundamental frequency of steel if density and elasticity of steel are

7 .7 \times 10^{3} kg m^{- 3}

and

2 .2 \times 10^{11} N m^{- 2}

respectively?

EASY

Physics>Waves and Oscillations>Superposition of Waves>Resonance

Standing waves of frequency

225 Hz

are set up in a monoatomic gas kept in a cylindrical chamber closed at both ends and at temperature

27 ° C

. The distance between the adjacent anti-nodes of the wave is

1 m

. The atomic weight of the gas in

kg \cdot {mol}^{- 1}

is closest to

EASY

Physics>Waves and Oscillations>Superposition of Waves>Resonance

The fundamental frequency of a closed organ pipe of length

20 cm

is equal to the second overtone of an organ pipe open at both the ends. The length of the organ pipe open at both the ends is

EASY

Physics>Waves and Oscillations>Superposition of Waves>Resonance

The fundamental frequency of an air column in a pipe closed at one end is

100 Hz

. If the same pipe is open at both the ends, the frequencies produced in

Hz

are

MEDIUM

Physics>Waves and Oscillations>Superposition of Waves>Resonance

The second overtone of an open organ pipe has the same frequency as the first overtone of a closed pipe which is

L

meter long. The length of the open pipe will be

HARD

Physics>Waves and Oscillations>Superposition of Waves>Resonance

A student is performing the experiment of the resonance column. The diameter of the column tube is

6 cm

. The frequency of the tuning fork is

504 Hz

. Speed of the sound at the given temperature is

336 m s^{- 1}

. The zero of the meter scale coincides with the top end of the resonance column tube. The reading of the water level in the column when the first resonance occurs is:

HARD

Physics>Waves and Oscillations>Superposition of Waves>Resonance

A student is performing an experiment using a resonance column and a tuning fork of frequency

244 s^{- 1}

. He is told that the air in the tube has been replaced by another gas (assume that the column remains filled with the gas). If the minimum height at which resonance occurs is

(0.350 \pm 0.005) m

, the gas in the tube is (Useful information:

\sqrt{167 R T} = 640 J^{\frac{1}{2}} m o l^{- \frac{1}{2}}; \sqrt{140 R T} = 590 J^{\frac{1}{2}} m o l^{- \frac{1}{2}}

. The molar masses

M

in grams are given in the options. Take the values of

\sqrt{\frac{10}{M}}

for each gas as given there.)

MEDIUM

Physics>Waves and Oscillations>Superposition of Waves>Resonance

A resonance tube is old and has a jagged end. It is still used in the laboratory to determine the velocity of sound in air. A tuning fork of frequency

512 Hz

produces first resonance when the tube is filled with water to a mark

11 cm

below a reference mark, near the open end of the tube. The experiment is repeated with another fork of frequency

256 Hz

which produces first resonance when water reaches a mark

27 cm

below the reference mark. The velocity of sound in air, obtained in the experiment, is close to

Important Questions on Superposition of Waves

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