Question

The velocity of a transverse wave that travels along a stretched wire is $50m{s}^{-1}$ when stretching force in it is $10N$. The linear density of that wire is

• A. $0.4\times {10}^{-3}kg{m}^{-1}$
• B. $4\times {10}^{-2}kg{m}^{-1}$
• C. $0.4gc{m}^{-1}$
• D. $0.04gc{m}^{-1}$

Answer 1

The correct option is D $0.04gc{m}^{-1}$

$\nu =\sqrt{\frac{T}{\mu }}$
${\nu }^2=\frac{T}{\mu }$
$\mu =\frac{T}{{\nu }^2}$
$=\frac{10}{50\times 50}$
$=4\times {10}^{-3}kg/m$
$=\frac{4\times {10}^{-3}\times {10}^3}{{10}^2}gm/cm$
$=0.04gm/cm.$