Question

If two objects are the same size but one object is 3 times hotter than the other object, the hotter object emits If two objects are the same size but one object is 3 times hotter than the other object, the hotter object emits 3 times more energy per time per area. 9 times more energy per time per area. 12 times more energy per time per area 81 times more energy per time per area. none of the above

Answer 1

Answer:

81 times the first body

Explanation:

Let the temperature of the first object is T.

The temperature of the second object is 3T.

According to the Stefan's law, the energy radiated per unit area per unit time is given by

$E \alpha T^{4}$

So, for the first body

$E_{1} \alpha T^{4}$      .... (1)

for the second body

$E_{2} \alpha (3T)^{4}$    ..... (2)

By equation (1) and (2),

E2 = 81 times E1

So, the second body gives 81 times more energy per unit area per unit time