(c) The electric fields from two e/m waves are described by E1 = 10.0 cos(kz – wt) N/C and E2 = 15.0 cos(kz – wt + 60°) N/C. What is the phase of the resultant electric field (in degrees)? (d) Electrons moving at a speed of 30 m/s pass through a single slit of diameter 8.5 x 10-3 m. A diffraction pattern forms, due to the wave nature of the electrons. At what angle (in degrees) is the first-order minimum of this pattern located? (e) A neutron (with mass m, = 939.566 MeV/c²) is confined inside a nucleus of the most common isotop of iron, Fe. Assume the nucleus is spherical, and that the uncertainty in the position of the neutron is the diameter, not the radius, of the nucleus. What is the minimum uncertainty in the velocity of the neutron, in m/s?

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(c) The electric fields from two e/m waves are described by E1 = 10.0 cos(kr – wt) N/C and
E2 = 15.0 cos(kr – wt + 60°) N/C. What is the phase of the resultant electric field (in degrees)?
(d) Electrons moving at a speed of 30 m/s pass through a single slit of diameter 8.5 x 10-5 m. A
diffraction pattern forms, due to the wave nature of the electrons. At what angle (in degrees) is the
first-order minimum of this pattern located?
(e) A neutron (with mass m, = 939.566 MeV/c²) is confined inside a nucleus of the most common isotop
of iron, Fe. Assume the nucleus is spherical, and that the uncertainty in the position of the neutron is
the diameter, not the radius, of the nucleus. What is the minimum uncertainty in the velocity of the
neutron, in m/s?
Transcribed Image Text:(c) The electric fields from two e/m waves are described by E1 = 10.0 cos(kr – wt) N/C and E2 = 15.0 cos(kr – wt + 60°) N/C. What is the phase of the resultant electric field (in degrees)? (d) Electrons moving at a speed of 30 m/s pass through a single slit of diameter 8.5 x 10-5 m. A diffraction pattern forms, due to the wave nature of the electrons. At what angle (in degrees) is the first-order minimum of this pattern located? (e) A neutron (with mass m, = 939.566 MeV/c²) is confined inside a nucleus of the most common isotop of iron, Fe. Assume the nucleus is spherical, and that the uncertainty in the position of the neutron is the diameter, not the radius, of the nucleus. What is the minimum uncertainty in the velocity of the neutron, in m/s?
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