Two rods having same length and cross-sectional area are connected individually between temperature $T_{1}$ and $T_{2}$ . If the rate of loss of heat due to condution is equal and specific heat of two rods are in the ratio $1 : 2$ , then the ratio of their thermal conductivity will be

1 : 1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

1 : 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 : 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1 : \sqrt{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $1 : 1$
Thermal conductivity of a material does not depend upon the specific heat capacity.
$∴$ For same length, rate of heat conduction and area of cross-section.
$\frac{k_{1}}{k_{2}} = 1$

Suggest Corrections

Similar questions

Q. Two rods made of same material, have same thermal conductivities and area of cross-section. It is observed that to conduct same amount of heat between temperatures

T_{1}

and

T_{2}

, rod

1

takes twice the time as the other. Find the ratio of their lengths.

Consider two rods of same length and different specific heats ( $S_{1}$ and $S_{2}$ ), conductivities $K_{1}$ and $K_{2}$ and areas of cross section ( $A_{1}$ and $A_{2}$ ) and both having temperature $T_{1}$ and $T_{2}$ at their ends. If the rate of heat loss due to conduction is equal, then