Question 16: Waves

Question

In the diagram shown below, both the strings AB and CD are made of same material and have same cross-section. The pulleys are light and fictionless. If the speed of wave in string AB is v
1
and in CD is v
2
, then ${{{v_1}} \over {{v_2}}}$ is
![](https://app-content.cdn.examgoal.net/fly/@width/image/1lhvjb222/4be5f0e1-f2ae-452f-996d-ea2dcf538b8b/187988a0-f6cd-11ed-a6dc-0937b794fb62/file-1lhvjb223.png?format=png)

Accepted Answer

Let the speed of wave in string be v and tension in string be T.
$v \propto \sqrt T $
${{{v_{AB}}} \over {{v_{CD}}}} = \sqrt {{T \over {2T}}}  = {1 \over {\sqrt 2 }}$
![](https://app-content.cdn.examgoal.net/fly/@width/image/1lhvjd13p/15e2f382-925a-4ae7-afaf-647e9b9990f8/4f5b1050-f6cd-11ed-a6dc-0937b794fb62/file-1lhvjd13q.png?format=png)

Answer

1

Answer

$\sqrt2$

Answer

2

Answer

1$\sqrt2$

Waves

In the diagram shown below, both the strings AB and CD are made of same material and have same cross-section. The pulleys are light and fictionless. If the speed of wave in string AB is v 1 and in CD is v 2 , then {{{v_1}} \over {{v_2}}} is

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