Final answer:
The Sun produces a total of 6.045 × 1040 ergs of radiant energy in 1.55 × 107 seconds, which is an option (a).
Step-by-step explanation:
The question is related to the calculation of the total amount of radiant energy produced by the Sun over a certain period. Given that the Sun produces 3.9 × 1033 ergs of energy per second, we can find the total energy produced in 1.55 × 107 seconds by multiplying these two values together:
Total energy = (Energy per second) × (Number of seconds)
Total energy = (3.9 × 1033 ergs/s) × (1.55 × 107 s)
Total energy = 6.045 × 1040 ergs
Thus, the total energy produced by the Sun over that period is 6.045 × 1040 ergs, which corresponds to option (a).