Two organ pipes closed at one end produce 5 beats per second in fundamental mode. If the ratio of their lengths is 10:11, then their frequencies (in Hz) are:

Two sitar strings, A and B, playing the note 'Ga,' are slightly out of tune and produce 6 Hz beats. The tension in the string A is slightly reduced, and the beat frequency is found to be reduced to 3 Hz. If the original frequency of A is 324 Hz, what is the frequency of B?

1. 316 Hz

2. 318 Hz

3. 319 Hz

4. 314 Hz

Two sound waves given by the equations \(y=A\sin 122 \pi t\) and \(y=A\sin 128 \pi t\) pass through a point simultaneously. The number of beats per second is:

A source of unknown frequency gives \(4\) beats/s when sounded with a source of known frequency of \(250~\text{Hz}\). The second harmonic of the source of unknown frequency gives five beats per second when sounded with a source of frequency of \(513~\text{Hz}\). The unknown frequency will be:

Two wires, A and B, of a musical instrument 'Sitar' produce 3 beats per second. If the tension of B is raised, the number of beats becomes 1 beat per second. If the frequency of A is 450 Hz, then the original frequency of B will be:

1. 447 Hz

2. 453 Hz

3. 449 Hz

4. 451 Hz
 

A student tunes his guitar by striking a \(120~\text{Hz}\) with a tuning fork and playing the \(4^{th}\) string at the same time. By keen observation, he hears the amplitude of the combined sound oscillating thrice per second. Which of the following frequencies is most likely the frequency of the \(4^{th}\) string on his guitar?
1. \(130\)
2. \(117\)
3. \(110\)
4. \(120\)
 

Two sound waves with wavelengths 5.0 m and 5.5 m, respectively, propagate in gas with a velocity of 330 m/s. How many beats per second can we expect?

1. 12

2. 0

3. 1

4. 6

Tuning fork \(F_1\) has a frequency of 256 Hz and it is observed to produce 6 beats/second with another tuning fork \(F_2\). When \(F_2\) is loaded with wax, it still produces 6 beats/second with \(F_1\). The frequency of \(F_2\) before loading was:
1. 253 Hz
2. 262 Hz
3. 250 Hz
4. 259 Hz

Two tuning forks, A and B, vibrating simultaneously produce 5 beats. The frequency of B is 512 Hz. It is seen that if one arm of A is filed a little, then the number of beats increases. The frequency of A in Hz will be:

A tuning fork of frequency 512 Hz makes 4 beats/s with the vibrating strings of a piano. The beat frequency decreases to 2 beats/s when the tension in the piano strings is slightly increased. The frequency of the piano string before increasing the tension was:
1. 510 Hz                       
2. 514 Hz
3. 516 Hz                       
4. 508 Hz