Question

Two rods of same metal and of same cross-section
have lengths 0.5 m and 0.8 m. The temperature
difference across the ends of the first rod is 40°C. Find
the temperature difference across the second rod, if
the rate of heat conduction is equal in both the rods.
​

Answer 1

If the rate of heat conduction is equal in both the rods then temperature difference across the second rod is 227.8 °C.

Given-

• Rods are formed of same metal.
• Cross sectional area of the rod is same.
• Length of first rod = 0.5 m
• Length of second rod = 0.8 m

• Temperature difference across the ends of first rod = 40 °C

We know that Rate of heat conduction is the ratio of temperature difference to the resistance.

Q = ΔT / R

and R = L/KA

So, Q = ΔT × K × A/ L

K, A and Q is same as given in the question.

So,

ΔT₁/L₁ = ΔT₂/L₂

By substituting the value we get

313/0.5 = ΔT₂/0.8

ΔT₂ = 500.8 Kelvin

ΔT₂ = 227.8 °C

Answer 2

Answer:

64°C

Explanation:

refer the attachment :)