Question

Four rods of same material but with different
radii and lengths are used to connect two
reservoirs of heat with the same temperature
difference. Which one will conduct more heat​

Answer 1

Explanation:

Heat conducted by rod, Q=

l

KAtΔT

where A=πr

2

⟹ Q=a

l

r

2

where a=KtπΔT= constant

(A) : Q

A

=a

1

(0.01)

2

=10

−4

a

(B) : Q

B

=a

1/2

(0.01)

2

=2×10

−4

a

(C) : Q

C

=a

2

(0.02)

2

=2×10

−4

a

(D) : Q

D

=a

1/2

(0.02)

2

=8×10

−4

a