Six identical conducting rods are joined as shown in the figure. Points A and D are maintained at 200 ° C and 20 ° C respectively. The temperature of junction B will be -

Question

Six identical conducting rods are joined as shown in the figure. Points A and D are maintained at 200 ° C and 20 ° C respectively. The temperature of junction B will be - <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-stddlvwejhfhpejs.jpg" /> (A) 120° C (B) 100° C (C) 140° C (D) 80° C

Tardigrade Admin · Accepted Answer

Electrical circuit, Solution

((d q/d t))1=((d Q/d t))2 (k a (. 200 - θ .)/l)=(k A (. θ - 20 .)/2 l) 400-2θ =θ -20 ; θ =(420/3)=140° C

Q. Six identical conducting rods are joined as shown in the figure. Points $A$ and $D$ are maintained at $200^{\circ} C$ and $20^{\circ} C$ respectively. The temperature of junction $B$ will be -

$12 0^{\circ} C$

$10 0^{\circ} C$

$14 0^{\circ} C$

$8 0^{\circ} C$

Electrical circuit,

$(\frac{d q}{d t})_{1} = (\frac{d Q}{d t})_{2}$
$\frac{ka ( 200 - θ )}{l} = \frac{k A ( θ - 20 )}{2 l}$
$400 - 2 θ = θ - 20;$
$θ = \frac{420}{3} = 14 0^{\circ} C$

Q. Six identical conducting rods are joined as shown in the figure. Points A and D are maintained at 200∘C and 20∘C respectively. The temperature of junction B will be -

120∘C

100∘C

140∘C

80∘C