First slide

Conduction

Question

A and B are two points on a uniform metal ring whose centre is C. The angle $A C B = θ$ . A and B are maintained at two different constant temperatures. When $θ = 180^{0}$ , the rate of total heat flow from A to B is 1.2 W. When $θ = 90^{0}$ , this rate will be

Moderate

A

0. 6 W
B

0.9 W
C

1.6 W
D

1.8 W

Solution

$I n f i r s t c a s e R_{A B} w h e n θ = 180^{o} e f f e c t i v e R = \frac{R}{4}$
$\begin{array}{l} i n t h e s e c o n d c a s e \\ R_{A B} w h e n θ = 90^{0} \\ E f f e c t i v e R = \frac{\frac{3 R}{4} \times \frac{R}{4}}{R} = \frac{3 R}{16} \end{array}$
$\begin{array}{l} \frac{Q_{1}}{Q_{2}} = \frac{R_{2}}{R_{1}} = \frac{3 R}{16 \frac{R}{4}} = \frac{3}{4} \\ \frac{1.2}{Q_{2}} = \frac{3}{4} Q_{2} = 1.6 W \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App