Question

A string is vibrating in its fifth overtone between two rigid supports $2.4$m apart. The distance between successive node and antinode is

• A. $0.1$m
• B. $0.2$m
• C. $0.6$m
• D. $0.8$m

Answer 1

The correct option is B $0.2$m

In fifth overtone there are 6 loops and each loop has length of half wavelength.

$⟹6\frac{\lambda }{2}=L=2.4m$

$⟹\lambda =0.8m$

Now, distance between successive node and antinode=$\frac{\lambda }{4}=0.2m$

Hence, answer is option-(B).