Match the following : Column A Column B a. Stiff string has N segments p. All harmonic of v 2 l exist b. Open pipe of smaller diameter q. Fundamental frequency, v = v 2 l c. Closed pipe r. Wave length = 2 l N d. String one end connected to rigid boundry and other end is free s. Odd harmonics are only available ( l = length of string/ pipe, v = velocity of wave)

a. (p, q, r), b. (p, q, r), c. (s), d. (s)

a. (p, q), b. (p, r), c. (s), d. (r)

a. (q, r), b. (p, s, r), c. (q), d. (p)

a. (p, q, r, s), b. (p, q), c. (r), d. (p)

Match the following : Column A Column B a. Stiff string has N segments p. All harmonic of v 2 l exist b. Open pipe of smaller diameter q. Fundamental frequency, v = v 2 l c. Closed pipe r. Wave length = 2 l N d. String one end connected to rigid boundry and other end is free s. Odd harmonics are only available ( l = length of string/ pipe, v = velocity of wave)

a. (p, q, r), b. (p, q, r), c. (s), d. (s)

HARD

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Match the following :

Column A Column B
a. Stiff string has N segments p. All harmonic of $\frac{v}{2 l}$ exist
b. Open pipe of smaller diameter q. Fundamental frequency, $v = \frac{v}{2 l}$
c. Closed pipe r. Wave length $= \frac{2 l}{N}$
d. String one end connected to rigid boundry and other end is free s. Odd harmonics are only available ( $l =$ length of string/ pipe, v = velocity of wave)

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Important Questions on Sound Waves

MEDIUM

Physics>Oscillations and Waves>Sound Waves>Formation of Standing Waves in an Air Column

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>Oscillations and Waves>Sound Waves>Formation of Standing Waves in an Air Column

A cylindrical tube, open at both the ends has fundamental frequency

n

. If one of the ends is closed, the fundamental frequency will become

HARD

Physics>Oscillations and Waves>Sound Waves>Formation of Standing Waves in an Air Column

A pipe of length 85 cm is closed from one end. Find the number of possible natural oscillations of air column in the pipe whose frequencies lie below 1250 Hz. The velocity of sound in air is 340 m/s.

MEDIUM

Physics>Oscillations and Waves>Sound Waves>Formation of Standing Waves in an Air Column

The number of possible natural oscillations of air column in a pipe closed at one end of length

85 c m

whose frequencies lies below

1250 H z

are: (velocity of sound

= 340 {m s}^{- 1}

)

HARD

Physics>Oscillations and Waves>Sound Waves>Formation of Standing Waves in an Air Column

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>Oscillations and Waves>Sound Waves>Formation of Standing Waves in an Air Column

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.

EASY

Physics>Oscillations and Waves>Sound Waves>Formation of Standing Waves in an Air Column

The two nearest harmonics of a tube closed at one end and open at other end are 220 Hz and 260 Hz. What is the fundamental frequency of the system?

MEDIUM

Physics>Oscillations and Waves>Sound Waves>Formation of Standing Waves in an Air Column

If sound travels in air with the speed of

340 m s^{- 1}

, then the number of tones present in an open organ pipe of length

2 m

for a maximum frequency of

1200 Hz

, are

MEDIUM

Physics>Oscillations and Waves>Sound Waves>Formation of Standing Waves in an Air Column

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

EASY

Physics>Oscillations and Waves>Sound Waves>Formation of Standing Waves in an Air Column

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

EASY

Physics>Oscillations and Waves>Sound Waves>Formation of Standing Waves in an Air Column

Two nearest harmonics of an organ pipe open at both the ends are

200 Hz

and

240 Hz

The fundamental frequency is

MEDIUM

Physics>Oscillations and Waves>Sound Waves>Formation of Standing Waves in an Air Column

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

MEDIUM

Physics>Oscillations and Waves>Sound Waves>Formation of Standing Waves in an Air Column

A stationary tuning fork is in resonance with an air column in a pipe. If the tuning fork is moved with a speed of

2 m s^{- 1}

in front of the open end of the pipe and parallel to it, the length of the pipe should be changed for the resonance to occur with the moving tuning fork. If the speed of sound in air is

320 m s^{- 1},

the smallest value of the percentage change required in the length of the pipe is ________.

MEDIUM

Physics>Oscillations and Waves>Sound Waves>Formation of Standing Waves in an Air Column

A pipe open at both ends has a fundamental frequency

f

in air. The pipe is dipped vertically in water so that half of it is in water. The fundamental frequency of the air column is now:

EASY

Physics>Oscillations and Waves>Sound Waves>Formation of Standing Waves in an Air Column

Tube

A

has both ends open while tube

B

has one end closed. Otherwise, they are identical. The ratio of fundamental frequency of tube

A

and

B

is,

MEDIUM

Physics>Oscillations and Waves>Sound Waves>Formation of Standing Waves in an Air Column

A pipe open at one end has length

0.8 m

. At the open end of the tube a string

0.5 m

long is vibrating in its

1 st

overtone and resonates with fundamental frequency of pipe. If tension in the string is

50 N

, the mass of string is (speed of sound

= 320 m s^{- 1}

)

MEDIUM

Physics>Oscillations and Waves>Sound Waves>Formation of Standing Waves in an Air Column

On closing an open organ pipe from one end, it is noticed that the frequency of third harmonic is

50 Hz

more than the fundamental frequency of vibration in open organ pipe. The fundamental frequency of open organ pipe is

MEDIUM

Physics>Oscillations and Waves>Sound Waves>Formation of Standing Waves in an Air Column

A pipe of

1 m

length is closed at one end. Taking the speed of sound in air as

320 m s^{- 1}

, the air column in the pipe cannot resonate for the frequency

(i n H z)

EASY

Physics>Oscillations and Waves>Sound Waves>Formation of Standing Waves in an Air Column

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>Oscillations and Waves>Sound Waves>Formation of Standing Waves in an Air Column

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:

	Column A		Column B
a.	Stiff string has N segments	p.	All harmonic of $\frac{v}{2 l}$ exist
b.	Open pipe of smaller diameter	q.	Fundamental frequency, $v = \frac{v}{2 l}$
c.	Closed pipe	r.	Wave length $= \frac{2 l}{N}$
d.	String one end connected to rigid boundry and other end is free	s.	Odd harmonics are only available ( $l =$ length of string/ pipe, v = velocity of wave)

Important Questions on Sound Waves

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