(a) Explain the photoelectric effect and its significance in quantum theory. (b) Derive the equation for the de Broglie wavelength of a particle…

(a) Explain the photoelectric effect and its significance in quantum theory.

(b) Derive the equation for the de Broglie wavelength of a particle.

(c) Convert the following sum of products canonical expression to product of sum canonical expression, f(A, B, C, D) = Σ(1, 3, 5, 8, 11).

(d) Minimize the following function using the Karnaugh map method. f(A, B, C, D) = Π (3, 5, 7, 9, 11, 13, 14, 15).