A transverse wave travels on a taut steel wire with a velocity of ${v}$ when tension in it is $2.06 \times 10^{4} \;\mathrm{N} .$ When the tension is changed to $T$. the velocity changed to $\frac v2$. The value of $\mathrm{T}$ is close to
$10.2 \times 10^{2} \;\mathrm{N}$
$5.15 \times 10^{3}\; \mathrm{N}$
$2.50 \times 10^{4}\; \mathrm{N}$
$30.5 \times 10^{4}\; \mathrm{N}$
A transverse wave is passing through a string shown in figure. Mass density of the string is $1 \ kg/m^3$ and cross section area of string is $0.01\ m^2.$ Equation of wave in string is $y = 2sin (20t - 10x).$ The hanging mass is (in $kg$):-
A sound is produced by plucking a string in a musical instrument, then
Write definition and dimensional formula of linear mass density of string.
Figure here shows an incident pulse $P$ reflected from a rigid support. Which one of $A, B, C, D$ represents the reflected pulse correctly
$Assertion :$ Two waves moving in a uniform string having uniform tension cannot have different velocities.
$Reason :$ Elastic and inertial properties of string are same for all waves in same string. Moreover speed of wave in a string depends on its elastic and inertial properties only.