The sun radiates electromagnetic energy at the rate of 3.92 × 1026 w. the mass of the sun is 1.99 × 1030 kg. what fraction of the sun’s mass is lost during a human lifetime of 75 years? a. 2.16 × 10–13 b. 1.42 × 10–14 c. 6.90 × 10–14 d. 5.18 × 10–12 e. 8.63 × 10

D. 5.18 x 10⁻¹²

Explanation:

= rate at which sun radiates energy = 3.92 x 10²⁶ W

M = mass of sun = 1.99 x 10³⁰ kg

= rate at which sun's mass is lost

c = speed of light

Energy is given as

E = m c²

Taking derivative both side relative to "t"

= 4.4 x 10⁹ kg/s

t = time interval = 75 yrs = 75 x 365 days = 75 x 365 x 24 hours = 75 x 365 x 24 x 3600 sec = 2.4 x 10⁹ sec

= mass lost

mass lost is given as

m = 10.56 x 10¹⁸ kg

fraction is given as

fraction =

fraction =

fraction = 5.18 x 10⁻¹²

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