A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of 27°C , two successive resonances are produced at 20 cm and 73 cm column length. If the frequency of the tuning fork is 320 Hz, the velocity of sound in air at 27°C is:

1. 330 m/s

2. 339 m/s

3. 350 m/s

4. 300 m/s

Subtopic:  Standing Waves |
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The fundamental frequency in an open organ pipe is equal to the third harmonic of a closed organ pipe. If the length of the closed organ pipe is 20 cm, the length of the open organ pipe is:

1. 13.2 cm

2. 8 cm

3. 12.5 cm

4. 16 cm

Subtopic:  Standing Waves |
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The two nearest harmonics of a tube close at one end and open at the other end are 220Hz and 260Hz. What is the fundamental frequency of the system?
1.10Hz
2. 20Hz
3. 30Hz
4. 40Hz

Subtopic:  Standing Waves |
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Two cars moving in opposite directions approach each other with speed of 22m/s and 16.5 m/s respectively. The driver of the first car blows a horn having a frequency 400 Hz. The frequency heard by the driver of the second car is [velocity of sound 340m/s]

(1)350Hz

(2)361Hz

(3)411Hz

(4)448Hz

Subtopic:  Doppler's Effect |
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Two cars moving in opposite directions approach each other at speeds of 22 m/s and 16.5 m/s, respectively. The driver of the first car blows a horn with a frequency of 400 Hz. The frequency heard by the driver of the second car is [assume velocity of sound to be 340 m/s]:

1. 361 Hz

2. 411 Hz

3. 448 Hz

4. 350 Hz

Subtopic:  Doppler's Effect |
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A siren emitting a sound of frequency 800 Hz moves away from an observer towards a cliff at a speed of $15{\mathrm{ms}}^{-1}$. The frequency of sound that the observer hears in the echo reflected from the cliff will be:
(Take, velocity of sound in air=)
1. 800 Hz
2. 838 Hz
3. 885 HZ
4. 765 Hz

Subtopic:  Doppler's Effect |
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An air column, closed at one end and open at the other, resonates with a running fork when the smallest length of the column is 50 cm. The next larger length of the column resonating with the same tunning fork is

(1) 1OO cm

(2) 150 cm

(3) 200 cm

(4) 66.7cm

Subtopic:  Standing Waves |
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A uniform rope of length L and mass m1 hangs vertically from a rigid support. A block of mass m2 is attached to the free end of the ropes. A transverse pulse of wavelength λ1 is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is λ2. The ratio λ21 is-

1. $\sqrt{\frac{{m}_{1}+{m}_{2}}{{m}_{2}}}$

2. $\sqrt{\frac{{m}_{2}}{{m}_{1}}}$

3. $\sqrt{\frac{{m}_{1}+{m}_{2}}{{m}_{1}}}$

4. $\sqrt{\frac{{m}_{1}}{{m}_{2}}}$

Subtopic:  Travelling Wave on String |
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The second overtone of an open organ pipe has the same frequency as the first overtone of a closed pipe L meter long. The length of the open pipe will be:

1.  L

2.  2L

3.  L/2

4.  4L

Subtopic:  Standing Waves |
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Three sound waves of equal amplitudes have frequencies of (n-1), (n), and (n + 1). They superimpose to give beats. The number of beats produced per second will be

1.  1

2.  4

3.  3

4.  2

Subtopic:  Beats |
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