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In an experiment of resonance tube, first resonance occurs at $l = 10 cm$ from the open end of the tube. End correction of the tube is $1.0 cm$ and the frequency of tuning fork is $700 Hz .$

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Important Questions on Superposition of Waves

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

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:

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

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}

)

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 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

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

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

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

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

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 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.

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?

MEDIUM

Physics>Waves and Oscillations>Superposition of Waves>Resonance

While measuring the speed of sound by performing a resonance column experiment, a student gets the first resonance condition at a column length of 18 cm during winter. Repeating the same experiment during summer, she measures the column length to be x cm for the second resonance. Then

MEDIUM

Physics>Waves and Oscillations>Superposition of Waves>Resonance

Out of following incorrect statement is

MEDIUM

Physics>Waves and Oscillations>Superposition of Waves>Resonance

A resonance pipe is open at both ends and

30 cm

of its length is in resonance with an external frequency

1.1 kHz

. If the speed of sound is

330 m s^{- 1}

, which harmonic is in resonance?

EASY

Physics>Waves and Oscillations>Superposition of Waves>Resonance

An open pipe of sufficient length is being dipped in water with a speed $v$ vertically. If at any instant $l$ is the length of the tube above water. Then the rate at which fundamental frequency of pipe changes, is (speed of sound = $c$ )

Question Image

EASY

Physics>Waves and Oscillations>Superposition of Waves>Resonance

A tuning fork of frequency

500 cycle s^{- 1}

is sounded on a resonance tube. The first and second resonance is obtained at

17 cm

and

52 cm

. The velocity of sound in

m s^{- 1}

MEDIUM

Physics>Waves and Oscillations>Superposition of Waves>Resonance

Represent the union of two sets by Venn diagram for each of the following.

$X = {x | x$ is a prime number between $80$ and $100}$

$Y = {y | y$ is an odd number between $90$ and $100}$

EASY

Physics>Waves and Oscillations>Superposition of Waves>Resonance

An open organ pipe of length

l

is vibrated in its fundamental mode. The pressure variation is maximum

In an experiment of resonance tube, first resonance occurs at l=10 cm from the open end of the tube. End correction of the tube is 1.0 cm and the frequency of tuning fork is 700 Hz.

Important Questions on Superposition of Waves

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In an experiment of resonance tube, first resonance occurs at $l = 10 cm$ from the open end of the tube. End correction of the tube is $1.0 cm$ and the frequency of tuning fork is $700 Hz .$