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Welcome back to 8.033! Albert A. Michelson, 1852-1931 1st American to win Nobel Prize (1907) Image courtesy of Wikipedia.

Welcome back to 8.033! - MIT OpenCourseWare...TODAY’S TOPIC: SYMMETRY IN PHYSICS, II • Symmetry of electromagnetism (wave equation, light propagation) • Does speed of light depend

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Page 1: Welcome back to 8.033! - MIT OpenCourseWare...TODAY’S TOPIC: SYMMETRY IN PHYSICS, II • Symmetry of electromagnetism (wave equation, light propagation) • Does speed of light depend

Welcome back

to 8.033!

Albert A. Michelson, 1852-1931

1st American to win Nobel Prize (1907)

Image courtesy of Wikipedia.

Page 2: Welcome back to 8.033! - MIT OpenCourseWare...TODAY’S TOPIC: SYMMETRY IN PHYSICS, II • Symmetry of electromagnetism (wave equation, light propagation) • Does speed of light depend

SUMMARY OF LAST LECTURE: SYMMETRY IN PHYSICS, I:• Key concepts: frame, inertial frame, transformation, invariant, invariance, symmetry, relativity

• Symmetry examples: translation, rotation, parity, boost

• Million Dollar question: what are the symmetries of physics?

Page 3: Welcome back to 8.033! - MIT OpenCourseWare...TODAY’S TOPIC: SYMMETRY IN PHYSICS, II • Symmetry of electromagnetism (wave equation, light propagation) • Does speed of light depend

TODAY’S TOPIC: SYMMETRY IN PHYSICS, II• Symmetry of electromagnetism (wave equation, light propagation)

• Does speed of light depend on wavelength, motion of source or motion of observer?

• How reconcile 8.01 with 8.02?

• How transform between inertial frames?

• Key people: Michaelson & Morley

Page 4: Welcome back to 8.033! - MIT OpenCourseWare...TODAY’S TOPIC: SYMMETRY IN PHYSICS, II • Symmetry of electromagnetism (wave equation, light propagation) • Does speed of light depend

WHAT’S THE SYMMETRY

OF CLASSICAL

MECHANICS?

Page 5: Welcome back to 8.033! - MIT OpenCourseWare...TODAY’S TOPIC: SYMMETRY IN PHYSICS, II • Symmetry of electromagnetism (wave equation, light propagation) • Does speed of light depend

ANSWER:Figures by MIT OCW.

?Figure by MIT OCW.

Page 6: Welcome back to 8.033! - MIT OpenCourseWare...TODAY’S TOPIC: SYMMETRY IN PHYSICS, II • Symmetry of electromagnetism (wave equation, light propagation) • Does speed of light depend

WHAT’S THE SYMMETRY

OF ELECTRO-MAGNETISM?

Page 7: Welcome back to 8.033! - MIT OpenCourseWare...TODAY’S TOPIC: SYMMETRY IN PHYSICS, II • Symmetry of electromagnetism (wave equation, light propagation) • Does speed of light depend
Page 8: Welcome back to 8.033! - MIT OpenCourseWare...TODAY’S TOPIC: SYMMETRY IN PHYSICS, II • Symmetry of electromagnetism (wave equation, light propagation) • Does speed of light depend
Page 9: Welcome back to 8.033! - MIT OpenCourseWare...TODAY’S TOPIC: SYMMETRY IN PHYSICS, II • Symmetry of electromagnetism (wave equation, light propagation) • Does speed of light depend
Page 10: Welcome back to 8.033! - MIT OpenCourseWare...TODAY’S TOPIC: SYMMETRY IN PHYSICS, II • Symmetry of electromagnetism (wave equation, light propagation) • Does speed of light depend
Page 11: Welcome back to 8.033! - MIT OpenCourseWare...TODAY’S TOPIC: SYMMETRY IN PHYSICS, II • Symmetry of electromagnetism (wave equation, light propagation) • Does speed of light depend

SO WHICH DO YOU TRUST MORE:

Classical mechanics, or E&M?

Page 12: Welcome back to 8.033! - MIT OpenCourseWare...TODAY’S TOPIC: SYMMETRY IN PHYSICS, II • Symmetry of electromagnetism (wave equation, light propagation) • Does speed of light depend
Page 13: Welcome back to 8.033! - MIT OpenCourseWare...TODAY’S TOPIC: SYMMETRY IN PHYSICS, II • Symmetry of electromagnetism (wave equation, light propagation) • Does speed of light depend
Page 14: Welcome back to 8.033! - MIT OpenCourseWare...TODAY’S TOPIC: SYMMETRY IN PHYSICS, II • Symmetry of electromagnetism (wave equation, light propagation) • Does speed of light depend
Page 15: Welcome back to 8.033! - MIT OpenCourseWare...TODAY’S TOPIC: SYMMETRY IN PHYSICS, II • Symmetry of electromagnetism (wave equation, light propagation) • Does speed of light depend

Albert A. Michelson, 1852-1931

Edward Williams Morley, 1838-1923

1st American to win Nobel Prize (1907)

Does c depend on observer motion (frame)?

Figures by MIT OCW.

?Figure by MIT OCW.

Page 16: Welcome back to 8.033! - MIT OpenCourseWare...TODAY’S TOPIC: SYMMETRY IN PHYSICS, II • Symmetry of electromagnetism (wave equation, light propagation) • Does speed of light depend
Page 17: Welcome back to 8.033! - MIT OpenCourseWare...TODAY’S TOPIC: SYMMETRY IN PHYSICS, II • Symmetry of electromagnetism (wave equation, light propagation) • Does speed of light depend
Page 18: Welcome back to 8.033! - MIT OpenCourseWare...TODAY’S TOPIC: SYMMETRY IN PHYSICS, II • Symmetry of electromagnetism (wave equation, light propagation) • Does speed of light depend

No, no and no!

Page 19: Welcome back to 8.033! - MIT OpenCourseWare...TODAY’S TOPIC: SYMMETRY IN PHYSICS, II • Symmetry of electromagnetism (wave equation, light propagation) • Does speed of light depend

Aether rescue attempts (see Resnick Table 1-2)

Page 20: Welcome back to 8.033! - MIT OpenCourseWare...TODAY’S TOPIC: SYMMETRY IN PHYSICS, II • Symmetry of electromagnetism (wave equation, light propagation) • Does speed of light depend
Page 21: Welcome back to 8.033! - MIT OpenCourseWare...TODAY’S TOPIC: SYMMETRY IN PHYSICS, II • Symmetry of electromagnetism (wave equation, light propagation) • Does speed of light depend
Page 22: Welcome back to 8.033! - MIT OpenCourseWare...TODAY’S TOPIC: SYMMETRY IN PHYSICS, II • Symmetry of electromagnetism (wave equation, light propagation) • Does speed of light depend
Page 23: Welcome back to 8.033! - MIT OpenCourseWare...TODAY’S TOPIC: SYMMETRY IN PHYSICS, II • Symmetry of electromagnetism (wave equation, light propagation) • Does speed of light depend
Page 24: Welcome back to 8.033! - MIT OpenCourseWare...TODAY’S TOPIC: SYMMETRY IN PHYSICS, II • Symmetry of electromagnetism (wave equation, light propagation) • Does speed of light depend