The concept of matter waves was introduced by Louis de Broglie in 1924. He proposed that all matter, especially particles like electrons, have wave-like properties. This idea was crucial in the development of quantum mechanics and led to the wave-particle duality theory.
If \( \lambda \) and \( K \) are de Broglie wavelength and kinetic energy, respectively, of a particle with constant mass. The correct graphical representation for the particle will be:
Consider the following statements: Statement I: \( 5 + 8 = 12 \) or 11 is a prime. Statement II: Sun is a planet or 9 is a prime.
Which of the following is true?
The value of \[ \int \sin(\log x) \, dx + \int \cos(\log x) \, dx \] is equal to
The value of \[ \lim_{x \to \infty} \left( e^x + e^{-x} - e^x \right) \] is equal to