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
Step 1: Charge of one electron e = 1.6 × 10^-19 \, C Step 2: Rate of electrons transferred n = 10^9 \, electrons/second Step 3: Current produced I = n × e I = 10^9 × 1.6 × 10^-19 \, C/s I = 1.6 × 10^9-19 = 1.6 × 10^-10 \, A Step 4: Time required for 1 \, C charge Total charge Q = 1 \, C t = (Q)/(I) t = (1)/(1.6 × 10^-10) \, s t = 10^101.6 = 6.25 × 10^9 \, s Step 5: Convert seconds to years 1 \, year = 365 \, days/year × 24 \, h/day × 3600 \, s/h = 3.156 × 10^7 \, s/year t_years = 6.25 × 10^93.156 × 10^7 t_years = (6.25)/(3.156) × 10^2 ≈ 1.98 × 10^2 = 198 \, years (c) 198 वर्ष