Two bodies A and B are placed in an evacuated vessel maintained at a temperature of 27° C. The temperature of A is 327° C and that of B is 227° C. The ratio of heat loss from A and B is about

Question

Two bodies A and B are placed in an evacuated vessel maintained at a temperature of 27° C. The temperature of A is 327° C and that of B is 227° C. The ratio of heat loss from A and B is about (A) 2: 1 (B) 1: 2 (C) 4: 1 (D) 1: 4

Tardigrade Admin · Accepted Answer

For body A rate of heat loss is E A =σ A (6004-3004) For body B rate of heat loss is EB=σ A(5004-3004) So ratio of heat loss is EA / EB=(6004-3004) /(5004-3004) =2.23: 1 ≈ 2: 1

Q. Two bodies $A$ and $B$ are placed in an evacuated vessel maintained at a temperature of $2 7^{\circ} C$ . The temperature of $A$ is $32 7^{\circ} C$ and that of $B$ is $22 7^{\circ} C$ . The ratio of heat loss from $A$ and $B$ is about

2 : 1

1 : 2

4 : 1

1 : 4

For body A rate of heat loss is
$E_{A} = σ A (60 0^{4} - 30 0^{4})$
For body $B$ rate of heat loss is
$E_{B} = σ A (50 0^{4} - 30 0^{4})$
So ratio of heat loss is
$E_{A} / E_{B} = (60 0^{4} - 30 0^{4}) / (50 0^{4} - 30 0^{4})$
$= 2.23 : 1 \approx 2 : 1$

Q. Two bodies A and B are placed in an evacuated vessel maintained at a temperature of 27∘C. The temperature of A is 327∘C and that of B is 227∘C. The ratio of heat loss from A and B is about