Question

The length of a stretched string is $2m$. The tension in it and its mass are $10N$ and $0.80kg$ respectively. Arrange the following steps in a sequence to find the third harmonic of transverse wave that can be created in the string.
(a) Find the linear mass density ($m$) using the formula, $m$ $=\frac{mass\left(M\right)ofthestring}{length\left(l\right)ofthestring}$
(b) Collect the data from the problem and find the length($l$) tenstion ($T$) and mass ($M$) of the stretched string.
(c) The fundamental frequency of a stretched vibrating string is given by $n$ $=\frac{1}{2l}\sqrt{\frac{T}{m}}$
(d) The frequency of $2^{nd}$ overtone or $3^{rd}$ harmonic is given by $n_2=\frac{3}{2l}\sqrt{\frac{T}{m}}=3n$.

• A. a b c d
• B. d b c a
• C. b a c d
• D. b d c a

Answer 1

Answer: (C)

b a c d

Collect the data from the problem and find the length ($l$), tension ($T$) and mass ($M$) of the stretched string (b).

Find the linear mass density (m) using the formula, m $=m/l$ (a).

The fundamental frequency of a stretched vibrating string is given by, n $=\frac{1}{2l}\sqrt{\frac{T}{m}}$ (c).
The frequency of $2^{nd}$ overtone or $3^{rd}$ harmonic is given by $n_2=\frac{3}{2l}\sqrt{\frac{T}{m}}=3n$ (d)