Which of the following cylindrical rods will | vedclass

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

Question

(B) The rate of heat conduction $H$ through a cylindrical rod is given by the formula $H = \frac{KA \Delta T}{L}$,where $K$ is the thermal conductivit

Vedclass · Accepted Answer

Length $1 \ m$,radius $2 \ cm$

Vedclass · Answer

(B) The rate of heat conduction $H$ through a cylindrical rod is given by the formula $H = \frac{KA \Delta T}{L}$,where $K$ is the thermal conductivity,$A$ is the cross-sectional area,$\Delta T$ is the temperature difference,and $L$ is the length of the rod.Since $A = \pi r^2$,the expression becomes $H = \frac{K \pi r^2 \Delta T}{L}$.Assuming the material $(K)$ and the temperature difference $(\Delta T)$ are the same for all rods,the heat conduction $H$ is proportional to $\frac{r^2}{L}$.Calculating the ratio $\frac{r^2}{L}$ for each option:$(a)$ $\frac{1^2}{1} = 1$$(b)$ $\frac{2^2}{1} = 4$$(c)$ $\frac{1^2}{2} = 0.5$$(d)$ $\frac{2^2}{2} = 2$Comparing these values,the ratio is maximum for option $(b)$. Therefore,the rod with length $1 \ m$ and radius $2 \ cm$ will conduct the most heat.

Which of the following cylindrical rods will conduct the most heat when their ends are maintained at the same steady temperatures?

Similar Questions

Assertion : For an isothermal reversible process $Q = -W$,i.e.,work done by the system equals the heat absorbed by the system.
Reason : Enthalpy change $(\Delta H)$ is zero for an isothermal process.

One end of a spring of force constant $k$ is fixed to a vertical wall and the other to a block of mass $m$ resting on a smooth horizontal surface. There is another wall at a distance $x_0$ from the block. The spring is then compressed by $2x_0$ and released. The time taken to strike the wall is

If $N$ is the number of turns in a coil,the value of self-inductance varies as

If the direction cosines of two lines are given by $l+m+n=0$ and $l^2-5m^2+n^2=0$,then the angle between them is

Identify the logic operation performed by the following circuit.

Vedclass Test Series

Exam Paper Generator

Online Exam Module