HARD

JEE Main

IMPORTANT

Earn 100

A conducting cylindrical rod of uniform cross-sectional area is kept between two large chambers which are at temperatures $100 ° C$ and $0 ° C$ , respectively. The conductivity of the rod increases with $x$ , where $x$ is distance from $100 ° C$ end. The temperature profile of the rod in steady-state will be as:

50% studentsanswered this correctly

Important Questions on Transmission Of Heat

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Waves & Thermodynamics JEE Main & Advanced>Chapter 2 - Transmission Of Heat>DPP>Q 10

The figure shows three different arrangements of materials $1$ , $2$ and $3$ (identical in shape) to form a wall. The thermal conductivities are $K_{1}, K_{2}$ and $K_{3},$ respectively, and $K_{1} >$ $K_{2} > K_{3} .$ The left side of the wall is $20 ° C$ higher than the right side. Choose the correct statements.

(I)

(II)

(III)

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Waves & Thermodynamics JEE Main & Advanced>Chapter 2 - Transmission Of Heat>DPP>Q 11

The ends of a rod of uniform thermal conductivity are maintained at different (constant) temperatures. After the steady state is achieved,

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Waves & Thermodynamics JEE Main & Advanced>Chapter 2 - Transmission Of Heat>DPP>Q 15

The thermal conductivity of a material in

CGS

system is

0.4

. In steady state, the rate of flow of heat is

10 cal s^{- 1} {cm}^{- 2}

. Then the thermal gradient will be _____

° C {cm}^{- 1}

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Waves & Thermodynamics JEE Main & Advanced>Chapter 2 - Transmission Of Heat>DPP>Q 16

Two vessels of different materials are similar in size in every respect. The same quantity of ice filled in them gets melted in

20 minutes

and

30 minutes

. The ratio of their thermal conductivities will be _____.

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Waves & Thermodynamics JEE Main & Advanced>Chapter 2 - Transmission Of Heat>DPP>Q 17

Two walls of thicknesses

d_{1}

and

d_{2}

and thermal conductivities

K_{1}

and

K_{2}

are in contact. In the steady state, if the temperatures at the outer surfaces are

T_{1}

and

T_{2}

, then the expression involving temperature at the common wall is

θ (K_{1} d_{2} + K_{2} d_{1}) = K_{1} d_{2} T_{1}

_____

K_{2} d_{1} T_{2}

, Complete the expression of temperature.

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Waves & Thermodynamics JEE Main & Advanced>Chapter 2 - Transmission Of Heat>DPP>Q 18

Two identical plates of different metals are joined to form a single plate whose thickness is double the thickness of each plate. If the coefficients of conductivity of each plate are

2

and

3

, respectively, then the conductivity of composite plate will be _____.

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Waves & Thermodynamics JEE Main & Advanced>Chapter 2 - Transmission Of Heat>DPP>Q 19

The ratio of the diameters of two metallic rods of the same material is

2 : 1

and their lengths are in the ratio

1 : 4

. If the temperature difference between their ends are equal and the rate of flow of heat in them will be in the ratio of

\frac{2 α}{1}

then

α =

_____.

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Waves & Thermodynamics JEE Main & Advanced>Chapter 2 - Transmission Of Heat>DPP>Q 20

Two cylinders

P

and

Q

have the same length and diameter and are made of different materials having thermal conductivities in the ratio

2 : 3

. These two cylinders are combined to make a cylinder. One end of

P

is kept at

100 ° C

and another end of

Q

0 ° C

. The temperature at the interface of

P

and

Q

is _____

° C

A conducting cylindrical rod of uniform cross-sectional area is kept between two large chambers which are at temperatures 100°C and 0°C, respectively. The conductivity of the rod increases with x, where x is distance from 100°C end. The temperature profile of the rod in steady-state will be as:

Important Questions on Transmission Of Heat

Learn and Prepare for any exam you want !