A uniform thin rope of length $12\, m$ and mass $6\, kg$ hangs vertically from a rigid support and a block of mass $2\, kg$ is attached to its free end. A transverse short wavetrain of wavelength $6\, cm$ is produced at the lower end of the rope. What is the wavelength of the wavetrain (in $cm$ ) when it reaches the top of the rope $?$
$9$
$12$
$6$
$3$
A wire of density $9 \times 10^{-3} \,kg\, cm ^{-3}$ is stretched between two clamps $1\, m$ apart. The resulting strain in the wire is $4.9 \times 10^{-4}$. The lowest frequency of the transverse vibrations in the wire is......$HZ$
(Young's modulus of wire $Y =9 \times 10^{10}\, Nm ^{-2}$ ), (to the nearest integer),
The percentage increase in the speed of transverse waves produced in a stretched string if the tension is increased by $4\, \%$, will be ......... $\%$
Write equation of transverse wave speed for stretched string.
A string of length $1 \mathrm{~m}$ and mass $2 \times 10^{-5} \mathrm{~kg}$ is under tension $\mathrm{T}$. when the string vibrates, two successive harmonics are found to occur at frequencies $750 \mathrm{~Hz}$ and $1000 \mathrm{~Hz}$. The value of tension $\mathrm{T}$ is. . . . . . .Newton.
A steel wire has a length of $12$ $m$ and a mass of $2.10$ $kg$. What will be the speed of a transverse wave on this wire when a tension of $2.06{\rm{ }} \times {10^4}$ $\mathrm{N}$ is applied ?