This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
C Step 1: Identify the formula for the energy of a photon. The energy of an emitted photon (E) is given by the formula: E = (hc)/() where h is Planck's constant, c is the speed of light (emitted radiation speed), and is the wavelength of the photon. Step 2: Substitute the given values into the formula. Given: Planck's constant, h = 6.63 × 10^-34 Js Speed of emitted radiation, c = 3.0 × 10^8 ms^-1 Wavelength of emitted photon, = 5.68 × 10^-6 m E = (6.63 × 10^-34 Js) × (3.0 × 10^8 ms^-1)5.68 × 10^-6 m Step 3: Calculate the energy. First, calculate the numerator: 6.63 × 3.0 = 19.89 10^-34 × 10^8 = 10^(-34+8) = 10^-26 So, the numerator is 19.89 × 10^-26 Jm. Now, divide by the wavelength: E = 19.89 × 10^-26 Jm5.68 × 10^-6 m E = ((19.89)/(5.68)) × (10^-2610^-6) J E ≈ 3.50176 × 10^(-26 - (-6)) J E ≈ 3.50176 × 10^-20 J Step 4: Round the result and compare with the given options. Rounding to two decimal places for the coefficient, we get 3.50 × 10^-20 J. Comparing this to the options: A 1.49 × 10^-20 J B 1.49 × 10^-19 J C 3.49 × 10^-20 J D 3.49 × 10^-19 J The calculated value 3.50 × 10^-20 J is closest to option C, 3.49 × 10^-20 J. The final answer is C.