The wavelength of a wave that is the natural frequency (or first harmonic) for a string is 1.4 m. How long is the string? Your answer: 0.7 m 1.4 m 2.0 m 2.8 m
Properties of sound
A sound wave is a mechanical wave (or mechanical vibration) that transit through media such as gas (air), liquid (water), and solid (wood).
Quality Of Sound
A sound or a sound wave is defined as the energy produced due to the vibrations of particles in a medium. When any medium produces a disturbance or vibrations, it causes a movement in the air particles which produces sound waves. Molecules in the air vibrate about a certain average position and create compressions and rarefactions. This is called pitch which is defined as the frequency of sound. The frequency is defined as the number of oscillations in pressure per second.
Categories of Sound Wave
People perceive sound in different ways, like a medico student takes sound as vibration produced by objects reaching the human eardrum. A physicist perceives sound as vibration produced by an object, which produces disturbances in nearby air molecules that travel further. Both of them describe it as vibration generated by an object, the difference is one talks about how it is received and other deals with how it travels and propagates across various mediums.
![### Physics Problem: Calculating the Length of a String
#### Question:
The wavelength of a wave that is the natural frequency (or first harmonic) for a string is 1.4 m. How long is the string?
#### Your answer:
- ☐ 0.7 m
- ☐ 1.4 m
- ☐ 2.0 m
- ☐ 2.8 m
#### Explanation:
In a string fixed at both ends, the first harmonic (or the fundamental frequency) has a wavelength that is twice the length of the string. This is because there is one full wave (one wavelength) fitting over two times the length of the string.
**Given:**
- Wavelength (λ) = 1.4 m
**To find:**
- Length of the string (L)
For the first harmonic:
\[ \lambda = 2 \times L \]
So, the length of the string:
\[ L = \frac{\lambda}{2} \]
\[ L = \frac{1.4 \, \text{m}}{2} \]
\[ L = 0.7 \, \text{m} \]
#### Correct answer:
- ☑ 0.7 m](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5ce5c3e8-6842-4858-af10-98b0db7e6b57%2Fa3cb1c14-f5c3-4de1-b824-7b7fec64997f%2Fpa2biqu_processed.jpeg&w=3840&q=75)
Step by step
Solved in 2 steps
