Question

A uniform long rope is suspended from roof A transverse wave pulse is produced at its lower end . As the wave travels upward: along the suspended rope then
A) velocity of wave increases
B) wavelength Of wave increases
C) frequency of wave remains constant

• A. only A and B are true
• B. only B and C are true
• C. only A and C are true
• D. A,B and C all are true

Answer 1

Answer: (D)

As the rope is heavy, the tension will be different at different points.
The frequency remains same as it depends on the source.
$V=v\lambda V=\sqrt{\frac{F}{\mu }}$
$F$ is the tension in the rope and $\mu$ is the mass rate.
$F$ varies,
$\therefore V$ varies and $\lambda$ varies.
In particular, the tension increases as we go up and correspondingly wavelength also increases.