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.
![1. Before Planck's theoretical work on blackbody radiation, Wien showed empirically that
AmaxT = 2.90 x10³ m-K
where Amax is the wavelength at which the blackbody spectrum has its maximum value at
a temperature T. This expression is called the Wien displacement law; derive it from the
theoretical expression for the blackbody distribution. (McQuarrie 1-5)
2. Calculate the number of photons in a 2.00 mJ light pulse at (a) 1.06 µm, (b) 537 nm, and
(c) 266 nm. (McQuarrie 1-13)
3. Given that the work function of chromium is 4.40 eV, calculate the kinetic energy of
electrons emitted from a chromium surface that is irradiated with ultraviolet radiation of
wavelength 200 nm. (McQuarrie 1-19)
4. A ground-state hydrogen atom absorbs a photon of light that has a wavelength of 97.2
nm. It then gives off a photon that has a wavelength of 486 nm. What is the final state of
the hydrogen atom? (McQuarrie 1-26)
5. Calculate the de Broglie wavelength for (a) an electron with a kinetic energy of 100 eV,
(b) a proton with a kinetic energy of 100 eV, and (c) an electron in the first Bohr orbit of a
hydrogen atom. (McQuarrie 1-38)
6. If we locate an electron to within 20 pm, then what is the uncertainty in its speed?
(McQuarrie 1-46)*
7. What is the uncertainty of the momentum of an electron if we know its position is
somewhere in a 10 pm interval? How does the value compare to momentum of an electron
in the first Bohr orbit? (McQuarrie 1-47)*
8. Solve the following differential equations:
Y- 4y = 0
y(0) = 2
(at x = 0) = 4
а.
dx2
d²y
b.
dx2
+ 6y = 0
y(0) = – 1
(at x = 0) = 0
- 2y = 0
У(0) %3D 2
(McQuarrie 2-2)
C.
dx
9. Solve the following differential equations:
+ w?x(t) = 0
x(0) = 0
(at t = 0) = vo
a.
dt?
d?x
b.
+ w°x(t) = 0
x(0) = A
(at t = 0) = vo
Prove in both cases that x(t) oscillates with frequency w/2n. (McQuarrie 2-4)
10. Prove that the number of nodes for a vibrating string clamped at both ends is n - 1 for the
nth harmonic. (McQuarrie 2-11)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F671df763-cbe4-4075-8099-955c174e0ac2%2Ff73f6718-574d-4b4c-9d82-8bee81df48cb%2F9p24mza_processed.jpeg&w=3840&q=75)
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