The percentage increase in the speed of transverse waves produced in a stretched string if the tension is increased by 4%, will be:

1. 1%

2. 2%

3. 3%

4. 4%

Subtopic:  Travelling Wave on String |
 86%
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The equation of a wave on a string of linear mass density \(0.04 \mathrm{~kg} \mathrm{~m}^{-1}\) is given by: 
\({y}{=}{0}{.}{02}\left({m}\right)\sin\left[{{2}\mathit{\pi}\left({\frac{t}{{0}{.}{04}\left({s}\right)}{-}\frac{x}{{0}{.}{50}\left({m}\right)}}\right)}\right]\). The tension in the string will be:
1. \(4.0~\text{N}\) 2. \(12.5~\text{N}\)
3. \(0.5~\text{N}\) 4. \(6.25~\text{N}\)
Subtopic:  Travelling Wave on String |
 76%
From NCERT
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A steel wire has a length of \(12.0\) m and a mass of \(2.10\) kg. What should be the tension in the wire so that the speed of a transverse wave on the wire equals the speed of sound in dry air, at \(20^{\circ}\mathrm{C}\) (which is \(343\) m/s)?
1. \(4.3\times10^3\) N
2. \(3.2\times10^4\) N
3. \(2.06\times10^4\) N
4. \(1.2\times10^4\) N

Subtopic:  Travelling Wave on String |
 74%
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A steel wire \(0.72~\text{m}\) long has a mass of \(5\times10^{-3}~\text{kg}\). If the wire is under tension of \(60~\text{N}\), the speed of transverse waves on the wire will be:
1. \(85~\text{m/s}\)
2. \(83~\text{m/s}\)
3. \(93~\text{m/s}\)
4. \(100~\text{m/s}\)

Subtopic:  Travelling Wave on String |
 71%
From NCERT
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A uniform rope, of length \(L\) and mass \(m_1\), hangs vertically from a rigid support. A block of mass \(m_2\) is attached to the free end of the rope. A transverse pulse of wavelength \(\lambda_1\) is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is \(\lambda_2\). The ratio \(\frac{\lambda_2}{\lambda_1}\) 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 |
 69%
From NCERT
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A string with a mass \(2.50~\text{kg}\) is under a tension of \(200~\text{N}\). The length of the stretched string is \(20.0~\text{m}\). If the transverse jerk is struck at one end of the string, how long does it take for the disturbance to reach the other end?
1. \(0.5~\text{s}\)
2. \(0.6~\text{s}\)
3. \(0.4~\text{s}\)
4. \(0.1~\text{s}\)

Subtopic:  Travelling Wave on String |
 67%
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The graph between fundamental frequency (\(f\)) and corresponding tension (\(T\)) in a sonometer wire is best-represented by:

1. 2.
3. 4.
Subtopic:  Travelling Wave on String |
 51%
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