MCQ
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$0.1 m$
- ✓$0.2 m$
- C$0.6 m$
- D$0.8 m$
✓
Answer
Correct option: B.
$0.2 m$
(b) : For fifth overtone $\left(6^{\text {th }}\right.$ harmonics) as shown in the figure
$
\begin{aligned}
& 2.4=6 n \\
& \Rightarrow n=0.4 m \Rightarrow \frac{\lambda}{2}=0.4 \Rightarrow \lambda=0.8 \\
& \Rightarrow \frac{\lambda}{4}=\frac{0.8}{4}=0.2
\end{aligned}
$
$\therefore$ Distance between successive node and antinode will be $0.2 m$.
$
\begin{aligned}
& 2.4=6 n \\
& \Rightarrow n=0.4 m \Rightarrow \frac{\lambda}{2}=0.4 \Rightarrow \lambda=0.8 \\
& \Rightarrow \frac{\lambda}{4}=\frac{0.8}{4}=0.2
\end{aligned}
$
$\therefore$ Distance between successive node and antinode will be $0.2 m$.
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