Wave Mechanics Question 709

Question: A wave of frequency 100 Hz is sent along a string towards a fixed end. When this wave travels back after reflection, a node is formed at a distance of 10 cm from the fixed end of the string. The speed of incident (and reflected) wave are

[CBSE PMT 1994]

Options:

A) 40 m/s

B) 20 m/s

C) 10 m/s

D) 5 m/s

Show Answer

Answer:

Correct Answer: B

Solution:

At fixed end node is formed and distance between two consecutive nodes $ \frac{\lambda }{2}=10 $

$ cm $
$ \Rightarrow $ $ \lambda =20 $

$ cm $
$ \Rightarrow $ $ v=n\lambda =20 $ m/sec