A rod A of length 40, cm has a temperature di | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The rate of heat flow through a rod is given by the formula: $\frac{dQ}{dt} = \frac{KA(\Delta 	heta)}{l}$Given that the rate of heat flow $\frac{

Vedclass · Accepted Answer

$3:4$

Vedclass · Answer

(A) The rate of heat flow through a rod is given by the formula: $\frac{dQ}{dt} = \frac{KA(\Delta 	heta)}{l}$Given that the rate of heat flow $\frac{dQ}{dt}$ and the cross-sectional area $A$ are the same for both rods,we can write:$\frac{K_A \Delta 	heta_A}{l_A} = \frac{K_B \Delta 	heta_B}{l_B}$Substituting the given values:$l_A = 40\, cm$,$\Delta 	heta_A = 80^\circ C$$l_B = 60\, cm$,$\Delta 	heta_B = 90^\circ C$$\frac{K_A 	imes 80}{40} = \frac{K_B 	imes 90}{60}$$2 K_A = 1.5 K_B$$\frac{K_A}{K_B} = \frac{1.5}{2} = \frac{3}{4}$Therefore,the ratio of their thermal conductivities is $3:4$.

Similar Questions

For cooking the food,which of the following type of utensil is most suitable?

Two metal rods $P$ and $Q$ have the same length and the same temperature difference between their ends. Their thermal conductivities are $K_1$ and $K_2$,and their cross-sectional areas are $A_1$ and $A_2$ respectively. If the rate of flow of heat through rod $Q$ is three times that in rod $P$,then:

In a steady state, the graph between temperature $(\theta)$ and distance $(x)$ from the hot end is:

Why does a metal bar appear hotter than a wooden bar at the same temperature? Equivalently,it also appears cooler than a wooden bar if they are both colder than room temperature.

Vedclass Test Series

Exam Paper Generator

Online Exam Module