Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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# The Fundamental Frequency of a String is Proportional to - Physics

MCQ

The fundamental frequency of a string is proportional to

#### Options

• inverse of its length

• the diameter

•  the tension

• the density.

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#### Solution

inverse of its length

The relation between wave speed and the length of the string is given by

$v = \frac{1}{2l}\sqrt{\frac{F}{\mathrm{\mu}}}$
where
l is the length of the string
is the tension
μ linear mass density
From the above relation, we can say that the fundamental frequency of a string is proportional to the inverse of the length of the string.

$v \propto \frac{1}{l}$

Concept: Speed of Wave Motion
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#### APPEARS IN

HC Verma Class 11, 12 Concepts of Physics 1
Chapter 15 Wave Motion and Waves on a String
MCQ | Q 18 | Page 322
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