The temperature of two objects are 727° C and 327° C . The ratio of the rates of heat radiated by them H1:H2 is

Question

The temperature of two objects are 727° C and 327° C . The ratio of the rates of heat radiated by them H1:H2 is (A) 727:327 (B) 625:81 (C) 256:98 (D) 5:3

Tardigrade Admin · Accepted Answer

By Stefan's law of radiation (HA/HB)=(( 727 + 273 )4/( 327 + 273 )4) =((1000/600))4=((5/3))4 =(625/81) ∴ HA:HB=625:81

Q. The temperature of two objects are $72 7^{\circ} C$ and $32 7^{\circ} C$ . The ratio of the rates of heat radiated by them $H_{1} : H_{2}$ is

$727 : 327$

$625 : 81$

$256 : 98$

$5 : 3$

By Stefan's law of radiation
$\frac{H _{A}}{H _{B}} = \frac{( 727 + 273 ) ^{4}}{( 327 + 273 ) ^{4}}$
$= (\frac{1000}{600})^{4} = (\frac{5}{3})^{4}$
$= \frac{625}{81}$
$∴ H_{A} : H_{B} = 625 : 81$

Q. The temperature of two objects are 727∘C and 327∘C . The ratio of the rates of heat radiated by them H1​:H2​ is

727:327

625:81

256:98

5:3