In a guitar, two strings \(A\) and \(B\) made of same material are slightly out of tune and produce beats of frequency \(6~\text{Hz}\). When tension in \(B\) is slightly decreased, the beat frequency increases to \(7~\text{Hz}\). If the frequency of \(A\) is \(530~\text{Hz}\), the original frequency of \(B\) will be:
| 1. | \(524~\text{Hz}\) | 2. | \(536~\text{Hz}\) |
| 3. | \(537~\text{Hz}\) | 4. | \(523~\text{Hz}\) |
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. | \(2\) |
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:
| 1. | \(246~\text{Hz}\) | 2. | \(240~\text{Hz}\) |
| 3. | \(260~\text{Hz}\) | 4. | \(254~\text{Hz}\) |
Two sources of sound placed close to each other, are emitting progressive waves given by,
\(y_1=4\sin 600\pi t\) and \(y_2=5\sin 608\pi t\).
An observer located near these two sources of sound will hear:
| 1. | \(4\) beats per second with intensity ratio \(25:16\) between waxing and waning |
| 2. | \(8\) beats per second with intensity ratio \(25:16\) between waxing and waning |
| 3. | \(8\) beats per second with intensity ratio \(81:1\) between waxing and waning |
| 4. | \(4\) beats per second with intensity ratio \(81:1\) between waxing and waning |