Q. 45

Expert-verified
Found in: Page 485

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# A metal wire under tension T0 vibrates at its fundamentalfrequency. For what tension will the second-harmonic frequencybe the same as the fundamental frequency at tension ?

The tension will be

See the 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