Which physicist is known for discovering that any periodic wave can be represented as an infinite number of weighted sinusoids, i.e., the sum of sine and cosine waves? 

The correct answer is Jean Baptiste Joseph Fourier.

Key Points

• Jean Baptiste Joseph Fourier:-
  • The physicist known for discovering that any periodic wave can be represented as an infinite number of weighted sinusoids is Jean Baptiste Joseph Fourier.
  • This discovery is known as the Fourier series or Fourier transform.
  • Fourier's work has had a significant impact on fields such as mathematics, physics, and engineering.
  • The Fourier series is used in signal processing to analyze and manipulate signals, such as those in audio and video processing.

Additional Information

• Louis de Broglie:-
  • He was a physicist known for his work on the wave-particle duality of matter.
• Joseph-Louis Lagrange:-
  • He was a mathematician and physicist known for his contributions to mechanics and the calculus of variations.
• Ernest Walton:-
  • He was a physicist known for his work on the splitting of the atom and the development of the first particle accelerator.