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:

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