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  • A uniform thin rope of length  and mass <img alt="9 \mathrm{~kg}" src="https://entran

A uniform thin rope of length 18 \mathrm{~m} and mass 9 \mathrm{~kg} hangs vertically from a rigid support and a block of mas 3 \mathrm{~kg} is attached to its free end. A transverse short wavetrain of wavelength 9 \mathrm{~cm} is produced at the lower end of the rope. What is the wavelength of the wavetrain (in cm) When it reaches the top of the rope?

Option: 1

15.56


Option: 2

1563


Option: 3

15.59


Option: 4

15.95


Answers (1)

v=\sqrt\frac{T}{\mu}

\lambda_f=\sqrt\frac{T}{\mu}

\lambda\propto \sqrt T

\frac{\lambda_2}{\lambda_1}= \sqrt \frac{T_2}{T_1}

\lambda_2= \lambda_1\sqrt \frac{T_2}{T_1}

\lambda_2= 9\sqrt \frac{90}{30}

\lambda_2= 9\sqrt 3

\lambda_2= 15.59

Posted by

Sumit Saini

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