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: Â Travelling Wave on String |
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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: Â Travelling Wave on String |
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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: Â Travelling Wave on String |
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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: Â Travelling Wave on String |
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From NCERT
NEET - 2016
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