Both the strings, shown in figure, are made of same material and have same cross

Question

Both the strings, shown in figure, are made of same material and have same cross-section. The pulleys are light. The wave speed of a transverse wave in the string

A B

v_{1}

and in

C D

it is

v_{2}

. Then

\frac{v_{1}}{v_{2}}

Both The Strings, Shown In Figure, Are Made Of Same Material...

Options:

A . 1

B . 2

C . √2

D . 1√2

Answer: Option D
:
D

Tension in string

A B

T

Tension in string

C D

2 T

V

\propto

\sqrt{T}

\Rightarrow

\frac{V_{1}}{V_{2}}

\sqrt{\frac{T}{2 T}}

\frac{1}{\sqrt{2}}

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