A room is at a constant temperature of 300 K. A hotplate in the room is at a temperature of 400 K and loses energy by radiation at a rate of P. What is the rate of loss of energy from the hotplate when its temperature is 500 K?

A.  \(\frac{{{4^4}}}{{{5^4}}}\)P

B.  \(\frac{{{5^4} + {3^4}}}{{{4^4} + {3^4}}}\)P

C.  \(\frac{{{5^4}}}{{{4^4}}}\)P

D.  \(\frac{{{5^4} - {3^4}}}{{{4^4} - {3^4}}}\)P

D