A steel wire has a length of $12.0 \;m$ and a mass of $2.10 \;kg .$ What should be the tension in the wire so that speed of a transverse wave on the wire equals the speed of sound in dry air at $20\,^{\circ} C =343\; m s ^{-1}$
$9.5 \times 10^{4} \;N$
$2.06 \times 10^{4} \;N$
$5.12 \times 10^{3} \;N$
$4.8 \times 10^{5} \;N$
Write definition and dimensional formula of linear mass density of string.
A string of length $L$ and mass $M$ hangs freely from a fixed point. Then the velocity of transverse waves along the string at a distance $x$ from the free end is
The equation of a wave on a string of linear mass density $0.04\, kgm^{-1}$ is given by : $y = 0.02\,\left( m \right)\,\sin \,\left[ {2\pi \left( {\frac{t}{{0.04\left( s \right)}} - \frac{x}{{0.50\left( m \right)}}} \right)} \right]$. The tension in the string is ..... $N$
A transverse pulse generated at the bottom of a uniform rope of length $L$, travels in upward direction. The time taken by it to travel the full length of rope will be
A $20 \mathrm{~cm}$ long string, having a mass of $1.0 \mathrm{~g}$, is fixed at both the ends. The tension in the string is $0.5 \mathrm{~N}$. The string is set into vibrations using an external vibrator of frequency $100 \mathrm{~Hz}$. Find the separation (in $cm$) between the successive nodes on the string.