Physics Modern Physics Level: High School
Dual Nature
What is each of the following ?a) the wavelength of a 5.0 eV photon .
b) the de Broglie wavelength of a 5.0 eV electron .
Physics Modern Physics Level: High School
Diffraction of Sound
As section 27.5 discusses , sound waves diffract or bend around the edges of a doorway . Larger wavelengths diffract more than similar wavelengths .a) The speed of sound is 343 m / s . With what speed would a 54.6 kg person have to move through a doorway to diffract to the same extent as a 122 Hz bass tone ?
b) At the speed calculated in part (a) , how long (in years) would it take the person to move a distance of the meter ?
Physics Modern Physics Level: High School
Heisenberg’s Uncertainty Principle
Suppose the minimum uncertainty in the position of a particle is equal to its de Broglie wavelength . If the particle has an average speed of 4.9 x 10^5 m / s . What is the minimum uncertainty in its speed ?
Physics Modern Physics Level: High School
Heisenberg’s Uncertainty Principle
In the lungs there are tiny sacs of air , which are called alveoli . The average diameter of one of these sacs is 0.23 mm . Consider an oxygen molecule (mass = 5.3 x 10^-26 kg ) trapped within a sac . What is the minimum uncertainty in the velocity of this oxygen molecule ?
Physics Modern Physics Level: High School
Diffraction
Neutrons (m = 1.67 x 10^-27 kg ) are being emitted by two objects . The neutrons are moving with a speed of 2.47 x 10^3 m / s and pass through a circular aperture whose diameter is 0.120 mm. This situation is analogous to that shown in the figure at “click here” . According to the Rayleigh criterion , what is the minimum angle theta min (in radius) between the two objects , such that they are just resolved using neutrons ?
Physics Modern Physics Level: High School
Compton Effect
The X- rays detected at a scattered angle of theta = 153 degrees in the figure which is shown at “click here” have wavelength of 0.1867 nm . Find each of the following .a) the wavelength of an incident photon
b) the energy of an incident photon
c) the energy of a scattered photon
d) the kinetic energy of the recoil electron
Physics Modern Physics Level: High School
Compton Effect
An incident X-ray photon of wavelength 0.2800 nm is scattered from an electron that is initially at rest . The photon is scattered at an angle of theta = 180.0 degrees in Figure which is Shown at “click here" and has a wavelength of 0.2859 nm . Use the conservation of linear momentum to find the momentum gained by the electron
Physics Modern Physics Level: High School
Compton Effect
An X-ray photon is scattered at an angle of theta = 180 degrees , from an electron that is initially at rest . After scattering , the electron has a speed of 4.67 x 10^6 m/s . Find the wavelength of the incident X-ray photon .
Physics Modern Physics Level: High School
Dual Nature
An electron and a proton have the same speed . What is the ratio wavelength electron / wavelength proton of their de Broglie wavelengths ?
Physics Modern Physics Level: High School
Heisenberg’s Uncertainty Principle
Suppose the minimum uncertainty in the position of a particle is equal to its de Broglie wavelength . If the particle has an average speed of 4.5 x 10^5 m / s . What is the minimum uncertainty in its speed ?
Physics Modern Physics Level: High School
Dual Nature
In a television picture tube the electron are accelerated from rest through a potential difference V . Just before an electron strikes the screen , its de Broglie wavelength is 1.0 x 10^-11 m . What is the potential difference ?
Physics Modern Physics Level: High School
Diffraction
Neutrons (m = 1.67 x 10^-27 kg ) are being emitted by two objects . The neutrons are moving with a speed of 2.80 x 10^3 m/s and pass through a circular aperture whose diameter is 0.100 mm . This situation is analogous to that for light . According to the Rayleigh criterion , what is the minimum angle theta min (in radians) between the two objects , such that they are just resolved using neutrons ?
Physics Modern Physics Level: High School
Dual Nature
The X-rays detected at a scattering angle of theta = 163 degrees have a wavelength of 0.1867 nm . Finda) the wavelength of an incident photon
b) the energy of an incident photon
c) the energy of a scattered photon
d) the kinetic energy of the recoil electron . (For accuracy , use h = 6.626 x 10^-24 J*s and c = 2.998 x 10^8 m/s .
Physics Modern Physics Level: High School
It is calculated that the number of photons per second given off by a sixty-watt incandescent light bulb is 3.6 x 10^18 photons / s . The photons are emitted uniformly in all directions . From a distance of 3.1 m you glance at this bulb for 0.10 s . The light from the bulb travels directly to your eye and does not reflect from anything . The pupil of the eye has a diameter of 2.0 mm . How many photons enter your eye ?
Physics Modern Physics Level: High School
Photoelectric Effect
Radiation with a wavelength of 238 nm shines on a metal surface and ejects electrons that have a maximum speed of 3.75 x 10^5 m/ s . Which one of the following metals is it , the values in parentheses being the work functions : potassium (2.24 eV) , calcium (2.71 eV) , uranium (3.63 eV), aluminum(4.08 eV) , or gold (4.82 eV) .