MyQuestionIcon

1

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

Conduction

The three rod...

Question

The three rods of lenght L and cross-sectional area A is described in the above problem are placed individually, with their ends kept at the same temperature difference. The rate of heat flow through C is equal to the rate of combined heat flow through A and B $k_{c}$ must be equal to

A

k_{A} + k_{B}

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

B

\frac{k_{A} k_{B}}{k_{A} + k_{B}}

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

C

\frac{1}{2} (k_{A} + k_{B})

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

D

2 (\frac{k_{A} k_{B}}{k_{A} + k_{B}})

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

Open in App

Solution

The correct option is A $k_{A} + k_{B}$
As we know that $\frac{Q}{t} = \frac{K A (T_{A} - T_{B})}{L}$ ,and all rods are kept separately,so we write individual equation for all and apply the given relation between them.
$\frac{K_{C} A (T_{1} - T_{2})}{L} = \frac{K_{A} A (T_{1} - T_{2})}{L} = \frac{K_{B} A (T_{1} - T_{2})}{L}$
$K_{C} = K_{A} + K_{B}$

Suggest Corrections

thumbs-up

0

Similar questions

A, B

C

have the same dimension. Their thermal conductivities are

k_{A}, k_{B}

k_{C}

. They are placed individually, with their ends kept at the same temperature difference. The rate of heat flow through

C

is equal to the rate of combined heat flow through

A

B

k_{C}

must be equal to:

Q. Three rods A,B and C have the same dimensions.Their conductivities are

K_{A}, K_{B}

K_{C}

respectively. A and B are placed end to end, with their free ends kept at certain temperature difference. C is placed separately with its ends kept at same temperature difference. The two arrangements conduct heat at the same rate

K_{c}

must be equal to

A, B

C

have the same dimensions. Their thermal conductivities are

k_{A}, k_{B}

k_{C}

A

B

are placed end to end, with their free ends kept at a certain temperature difference.

C

is placed separately, with its ends kept at the same temperature difference. The two arrangement conduct heat at the same rate.

K_{C}

must be equal to

Q. The kinetic energies of a planet in an elliptical orbit about the sun at positions

A

B

C

K_{A}

K_{B}

K_{C}

A C

is the major axis and

S B

is perpendicular to

A C

at the position of the sun

S

as shown in the figure with

S A < S B

Q. Seven rods A,B,C,D,E,F and G are joined as shown in figure .all the rods have equal cross-sectional area A and length l. the thermal conductivities of the rods are

K_{A} = K_{C} = K_{0}, K_{B} = K_{D} = 2 K_{0}, K_{E} = 3 K_{0}, K_{p} = 4 K_{0} a n d K_{G} = 5 K_{0}

. the rod E is kept at a constant temperature

T_{1}

and the rod G is kept at a constant temperatures

T_{2} (T_{2} > T_{1})

(a) show that the rod F has a uniform temperature

T = (T_{1} + 2 T_{2}) / 3

.(b) find the rate of heat flowing from the source which maintains the temperatures

T_{2}

?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Messengers of Heat

PHYSICS

Watch in App

explore_more_icon

Explore more

Standard VII Physics

Join BYJU'S Learning Program

CrossIcon