If the initial tension on a stretched string is doubled, then the ratio of the initial and final speeds of a transverse wave along the string is :

Question

If the initial tension on a stretched string is doubled, then the ratio of the initial and final speeds of a transverse wave along the string is : (A) 1: 2 (B) 1: 1 (C) √2: 1 (D) 1: √2

Tardigrade Admin · Accepted Answer

v propto √ text Tension ( v i / v f )=√( T i / T f ) ( v i / v f )=√( T /2 T ) ( v i / v f )=√(1/2)=(1/√2)

Q. If the initial tension on a stretched string is doubled, then the ratio of the initial and final speeds of a transverse wave along the string is :

$1 : 2$

$1 : 1$

$2 : 1$

$1 : 2$

$v \propto Tension$
$\frac{v _{i}}{v _{f}} = \frac{T _{i}}{T _{f}}$
$\frac{v _{i}}{v _{f}} = \frac{T}{2 T}$
$\frac{v _{i}}{v _{f}} = \frac{1}{2} = \frac{1}{2}$

Q. If the initial tension on a stretched string is doubled, then the ratio of the initial and final speeds of a transverse wave along the string is :

1:2

1:1

2​:1

1:2​

v∝ Tension ​ vf​vi​​=Tf​Ti​​​ vf​vi​​=2TT​​ vf​vi​​=21​​=2​1​

$1 : 2$

$1 : 1$

$2 : 1$

$1 : 2$

$v \propto Tension$
$\frac{v _{i}}{v _{f}} = \frac{T _{i}}{T _{f}}$
$\frac{v _{i}}{v _{f}} = \frac{T}{2 T}$
$\frac{v _{i}}{v _{f}} = \frac{1}{2} = \frac{1}{2}$