- Exam
- JEE Advanced
- Year
- 2017
- Paper
- Paper 1
- Subject
- Physics
- Chapter
- Waves and Sound
JEE Advanced 2017 · Paper 1 · Physics · Waves and Sound
A block M hangs vertically at the bottom end of a uniform rope of...
A block hangs vertically at the bottom end of a uniform rope of constant mass per unit length. The top end of the rope is attached to a fixed rigid support at O. A transverse wave pulse (Pulse 1) of wavelength is produced at point O on the rope. The pulse takes time to reach point A. If the wave pulse of wavelength is produced at point A (Pulse 2) without disturbing the position of M it takes time to reach point O. Which of the following options is/are correct?
Options
- AThe velocity of any pulse along the rope is independent of its frequency and wavelength
- BThe velocities of two pulses are the same at the midpoint of rope
- CThe wavelength of pulse 1 becomes longer when it reaches point A
- DThe time
Correct answer
A. The velocity of any pulse along the rope is independent of its frequency and wavelength
Step-by-step solution
(i) Speed of wave is property of medium so time taken to cross the string will be equal
(ii) Speeds are same but velocity is vector, has opposite directions
(iii) Wavelength and
(iv) Velocity of any pulse is and it is property of medium.