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Q. 45

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 485

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Short Answer

A metal wire under tension T0 vibrates at its fundamental

frequency. For what tension will the second-harmonic frequency

be the same as the fundamental frequency at tension ?

The tension will be

See the step by step solution

Step by Step Solution

Step 1: Frenquency and Tension 

Frequency is proportional to the square root of its tension.

Step 2: Using formula of frequency  

Tension or T has two nodes on the end of the string that produces the same frequency. It got produced under the frequency . the formula of the frequency is

Step 3:Simplification of the formula 

The substitution of the two cases by equating them is

The obtained simplification is

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