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A string is divided into three segments, so that the segment possesses fundamental frequencies in the ratio $1 : 2 : 3 .$ Then, the length of the segments are in the ratio $___________$

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Important Questions on Sound Waves

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

MEDIUM

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

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?

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

HARD

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

Two uniform wires of the same material are vibrating under the same tension. If the first overtone of the first wire is equal to the second overtone of the second wire and radius of the first wire is twice the radius of the second wire then the ratio of the lengths of the first wire to second wire is

MEDIUM

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

A string of length

1 m

and mass

5 g

is fixed at both ends. The tension in the string is

8 .0 N

. The string is set into vibration using an external vibrator of frequency

100 Hz

. The separation between successive nodes on the string is close to

EASY

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

In sonometer experiment, the string of length

L

under tension vibrates in second overtone between two bridges. The amplitude of vibration is maximum at

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

A standing wave is formed by the superposition of two waves travelling in opposite directions. The transverse displacement is given by,

y (x, t) = 0.5 \sin (\frac{5 π}{4} x) \cos (200 π t)

. What is the speed of the travelling wave moving in the positive

x

direction? (

x

and

t

are in meter and second, respectively)

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

HARD

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

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>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

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>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

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

MEDIUM

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

Two wires

W_{1}

and

W_{2}

have the same radius

r

and respective, densities

ρ_{1}

and

ρ_{2}

, such that

ρ_{2} = 4 ρ_{1}

. They are joined together at the point

O

, as shown in the figure. The combination is used as a sonometer wire and kept under tension

T

. The point

O

is midway between the two bridges. When a stationary wave is set up in the composite wire, the joint is found to be a node. The ratio of the number of antinodes formed in

W_{1}

W_{2}

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.

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?

EASY

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

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:

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

In Melde's experiment, when the tension decreases by

0.009 kg - wt

, the number of loops changes from

4

5

. The initial tension is

A string is divided into three segments, so that the segment possesses fundamental frequencies in the ratio 1: 2: 3. Then, the length of the segments are in the ratio ___________

Important Questions on Sound Waves

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A string is divided into three segments, so that the segment possesses fundamental frequencies in the ratio $1 : 2 : 3 .$ Then, the length of the segments are in the ratio $___________$