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An open organ pipe has a fundamental frequency $100 Hz$ . What frequency will be produced if its one end is closed?

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Important Questions on Sound Waves

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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

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

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 granite rod of

60 cm

length is clamped at its middle point and is set into longitudinal vibrations. The density of granite is

2.7 \times 10^{3} kg m^{- 3}

and its Young's modulus is

9.27 \times 10^{10} Pa

. What will be the fundamental frequency of the longitudinal vibrations?

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

HARD

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

The total length of a sonometer wire fixed between two bridges is

110 cm

. Now, two more bridges are placed to divide the length of the wire in the ratio

6 : 3 : 2

. If the tension in the wire is

400 N

and the mass per unit length of the wire is

0.01 kg m^{- 1}

, then the minimum common frequency with which all the three parts can vibrate, 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

MEDIUM

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

A string is clamped at both the ends and it is vibrating in its

4^{t h}

harmonic. The equation of the stationary wave is

y = 0.3 \sin (0.157 x) c o s (200 π t)

. The length of the string is
(All quantities are in

S I

units.)

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

In sonometer experiment, the string of length

L

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

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

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

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.

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

A wire of length

2 L,

is made by joining two wires

A

and

B

of same length but different radii

r

and

2 r

and made of the same material. It is vibrating at a frequency such that the joint of the two wires forms a node. If the number of antinodes in wire

A

p

and that in

B

q

then ratio

p : q

is:

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}

)

MEDIUM

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

n_{1}, n_{2}

and

n_{3}

are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency

n

of the string is given by:

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

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

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:

An open organ pipe has a fundamental frequency 100 Hz. What frequency will be produced if its one end is closed?

Important Questions on Sound Waves

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An open organ pipe has a fundamental frequency $100 Hz$ . What frequency will be produced if its one end is closed?