I need the degree please help!!

Part A: The amount of ergs of radiant energy, Q produced in time t = 1.55 × 10⁷ s  is 6.045 × 10⁴⁰ ergs.

Since the sun produces 3.9 × 10³³ ergs of radiant energy per second, which is  a rate, r = 3.9 × 10³³ ergs/s.

We require the amount of ergs of radiant energy, Q produced in time t = 1.55 × 10⁷ s.

So, this heat Q = rate × time

Q = rt

Substituting the values of r and t into the equation, we have

Q = 3.9 × 10³³ ergs/s × 1.55 × 10⁷ s

Q = 6.045 × 10³³ × 10⁷ ergs

Q = 6.045 × 10⁴⁰ ergs

So, the amount of ergs of radiant energy, Q produced in time t = 1.55 × 10⁷ s  is 6.045 × 10⁴⁰ ergs.

Part B: The measurement of the diameter of human hair 1.8 × 10⁻² mm is more reasonable.

Since 1.8 × 10⁻² mm = 1.8  × 10⁻² mm  ×  1cm/10 mm = 1.8  × 10⁻³ cm (since 10 mm = 1 cm) and

1.8 × 10² mm = 1.8 × 10² mm × 1 cm/10 mm = 1.8 × 10 cm = 18 cm (since 10 mm = 1 cm)

Since the human hair is small and its diameter of human hair cannot be 18 cm since 18 cm is a large diameter, then the diameter of the human hair has to be 1.8  × 10⁻³ cm = 1.8  × 10⁻² mm which is a small value.

So, measurement of the diameter of human hair 1.8 × 10⁻² mm  is more reasonable.

Learn more about radiant energy here: