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A light rod of length L is suspended f...

A light rod of length L is suspended from a support horizonatlly by means of two vertical wires A and B of equal lengths as show in the figure . Cross-section area of A is half that of B and Young's modulus of A is double than that

A

`20m//s`

B

`25 m//s`

C

`22 m//s`

D

`18 m//s`

Text Solution

Verified by Experts

The correct Answer is:
A
(a) Equivalent rubber constant of rubber cord
`K=(YA)/(l)=((5xx10^(8))(1xx10^(-6)))/((0.1))=5xx 10^(3)N//m`
From conservation of energy.
Elastic PE of cord=KE of missile `(1)/(2)k(Deltal)^(2)=(1)/(2)mv^(2)`
`v=sqrt(((k)/(m))).Deltal=sqrt(((5xx10^(3))/(5xx10^(-3))))xx(12-10)xx10^(-2)`
`v=20 m//s`
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