You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Thermal Resistance

Which of the ...

Question

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

Length 1 m; radius 1 cm

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

Length 2 m; radius 1 cm

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

Length 2 m; radius 2 cm

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

Length 1 m; radius 2 cm

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

Open in App

Solution

The correct option is D
Length 1 m; radius 2 cm

$\frac{Q}{t} = \frac{K A △ θ}{l} \Rightarrow \frac{Q}{t} \propto \frac{A}{l} \propto \frac{r^{2}}{l}$

$∴ \frac{r^{2}}{l}$ is maximum in option (d) , hence it will

conduct more heat.

Suggest Corrections

Similar questions

Four cylindrical rods of different radii and lengths are used to connect two heat reservoirs at fixed temperatures t₁ and t₂ respectively. From the following pick out the rod which will conduct the maximum quantity of heat:

Q. A cylindrical aluminium rod of length 2m is maintained at a temperature difference of 10

^{\circ}

Celsius. The radius of the rod is 1 cm. Find the heat current. (Thermal conductivity of aluminium = 200 W m

^{- 1}

^{- 1}

Q. A cylindrical aluminium rod of length 2m is maintained at a temperature difference of 10

^{\circ}

Celsius. The radius of the rod is 1 cm. Will it make a difference if it were a steel rod of same dimensions?

Q. A cylindrical aluminium rod of length 2m is maintained at a temperature difference of 10

^{\circ}

Celsius. The radius of the rod is 1 cm. Will it make a difference if the temperature difference was 10 Kelvin instead?

Q. A cylindrical rod of aluminium is of length

20

cms and radius

2

cms. The two ends are maintained at temperatures of

0^{\circ} C

and

50^{\circ} C

the coefficient of thermal conductivity is

0.5 c a l / (c m \times s e c \times^{\circ} C)

Then the thermal resistance of the rod in

c a l / (s e c \times^{\circ} C)

Join BYJU'S Learning Program

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

The correct option is D Length 1 m; radius 2 cm Qt=KA△θl⇒Qt ∝Al∝r2l ∴r2l is maximum in option (d) , hence it will conduct more heat.

The correct option is D
Length 1 m; radius 2 cm

$\frac{Q}{t} = \frac{K A △ θ}{l} \Rightarrow \frac{Q}{t} \propto \frac{A}{l} \propto \frac{r^{2}}{l}$

$∴ \frac{r^{2}}{l}$ is maximum in option (d) , hence it will

conduct more heat.