A string of length \(l\) is fixed at both ends and is vibrating in second harmonic. The amplitude at antinode is \(2\) mm. The amplitude of a particle at a distance \(l/8\) from the fixed end is:
1. \(2\sqrt2~\text{mm}\)
2. \(4~\text{mm}\)
3. \(\sqrt2~\text{mm}\)
4. \(2\sqrt3~\text{mm}\)
1. | \(420\) Hz | 2. | \(440\) Hz |
3. | \(484\) Hz | 4. | \(512\) Hz |
1. | \(7A\) | 2. | \(A\) |
3. | \(3.5A\) | 4. | \(5A\) |
1. | \(2^{\text{nd}}\) harmonic | 2. | \(3^{\text{rd}}\) harmonic |
3. | \(6^{\text{th}}\) harmonic | 4. | \(12^{\text{th}}\) harmonic |
1. | \({ 1 \over 2L} \sqrt {T\over m}~~~~~~~~~~~~~~\) | 2. | \(\frac{1}{4 L} \sqrt{\frac{T}{m}}~~~~~~~~~~~~~~\) |
3. | \(\frac{1}{2} \sqrt{\frac{TL}{2m}}\) | 4. | \(\frac{1}{2} \sqrt{\frac{T}{m L}}\) |
1. | \(1\) | 2. | \(1/2\) |
3. | \(2/3\) | 4. | \(3/2\) |