Question

A guitar string has a length of 0.5 $m.$ If the string is vibrating with a wavelength of 0.25 $m,$ then the midpoint of string is

• A. node.
• B. antinode.
• C. node or antinode depends upon harmonic.
• D. oscillating with amplitude less than maximum.

Answer 1

The correct option is A node.

$L=\frac{n\lambda }{2}$
$0.5=n\left(\frac{0.25}{2}\right)$
= 4 loops
$\Rightarrow$ 4th harmonic
$\Rightarrow$ mid point is a node