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
The question asks for the wavelength associated with a frequency of 50 \, kHz. Although the question mentions an "electron produced from the surface of a metal," the given frequency is characteristic of an electromagnetic wave. We will calculate the wavelength of an electromagnetic wave with this frequency. Step 1: Convert the given frequency from kilohertz (kHz) to hertz (Hz). The frequency f = 50 \, kHz. Since 1 \, kHz = 10^3 \, Hz, f = 50 × 10^3 \, Hz Step 2: Use the formula relating the speed of light (c), wavelength (), and frequency (f). The speed of light in a vacuum is approximately c = 3.00 × 10^8 \, m/s. The formula is: c = f To find the wavelength, rearrange the formula: = (c)/(f) Step 3: Substitute the values and calculate the wavelength. = 3.00 × 10^8 \, m/s50 × 10^3 \, Hz = (3.00 × 10^8)/(5.0 × 10^4) \, m = ((3.00)/(5.0)) × 10^8-4 \, m = 0.6 × 10^4 \, m = 6 × 10^3 \, m Step 4: Compare the calculated wavelength with the given options. (A) 6 × 10^-6 \, m (B) 6 × 10^3 \, m (C) 5 × 10^-6 \, m (D) 5 × 10^3 \, m The calculated wavelength matches option (B). The final answer is B) 6 × 10^3 \, m. That's 2 down. 3 left today — send the next one.