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  • Spacing between two socessive nodes in a standing wave on a string is x. It frequency of the standing wave is kept unchanged but tension in the string is doubled then new spacing between successive

Spacing between two socessive nodes in a standing wave on a string is x. It frequency of the standing wave is kept unchanged but tension in the string is doubled then new spacing between successives nodes will be becomes

Option: 1

\frac{x}{\sqrt{2}}


Option: 2

\sqrt{2}x


Option: 3

\frac{x}{2}


Option: 4

2x


Answers (1)

best_answer

Spacing between successive nodes =\frac{\lambda}{2}=x

v = n \lambda

\lambda\propto v\propto \sqrt{\frac{T}{\mu}}

\frac{\lambda _1}{\lambda _ 2}=\sqrt{\frac{T_1}{T_2}}=\frac{\sqrt{T}}{\sqrt{2T}}=\frac{1}{\sqrt{2}}

\lambda _2= \sqrt{2}\lambda

\lambda _1= \lambda

\lambda _2= \sqrt{2}\lambda

Find spacing between successive nodes =\frac{\lambda _2}{2}=\frac{\sqrt{2}\lambda}{2}=\sqrt{2}x

Posted by

sudhir.kumar

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