Two conducting rods A and B of same length and cross-sectional area are connecte

Sail E0 Webinar

Question

Two conducting rods A and B of same length and cross-sectional area are connected (i) In series (ii) In parallel as shown. In both combination a temperature difference of

100^{\circ}

C is maintained. If thermal conductivity of A is 3K and that of B is K then the ratio of heat current flowing in parallel combination to that flowing in series combination is

Two Conducting Rods A And B Of Same Length And Cross-section...

Options:

A . 163

B . 316

C . 11

D . 13

Answer: Option A
:
A
Heat current

H = \frac{Δ θ}{R} \Rightarrow \frac{H_{p}}{H_{s}} = \frac{R_{s}}{R_{p}}

In first case :

R_{s} = R_{1} + R_{2} = \frac{l}{(3 K) A} + \frac{l}{K A} = \frac{4}{3} \frac{l}{K A}

In second case :

R_{p} = \frac{R_{1} R_{2}}{R_{1} + R_{2}} = \frac{\frac{1}{(3 K) A} \times \frac{l}{K A}}{(\frac{l}{(3 K) A} + \frac{l}{K A})} = \frac{l}{4 K A}

∴ \frac{H_{p}}{H_{s}} = \frac{\frac{4 l}{3 K A}}{\frac{l}{4 K A}} = \frac{16}{3}

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. Four identical rods of same material are joined end to end to form a square. If the temperature difference between the e....temperature difference between the ends of other diagonal will be

Question 2. A solid copper sphere (density ρ and specific heat capacity (c) of radius r at an initial temperature 200K is susp....temperature of the sphere to drop to 100 K is

Question 3. An ice box used for keeping eatable cold has a total wall area of 1metre2 and a wall thickness of 5.0 cm. The thermal co....ice melted in one day is (1 day =86,400 seconds )

Question 4. The following figure shows two air-filled bulbs connected by a U-tube partly filled with alcohol. What happens to the le....an electric bulb placed midway between the bulbs is lighted.

Question 5. One end of a copper rod of uniform cross-section and of length 3.1 m is kept in contact with ice and the other end with ....vaporisation of water are 80 cal/gm and 540 cal/gm respectively

Question 6. Four rods of identical cross-sectional area and made from the same metal form the sides of square. The temperature of tw....will be the temperature difference between other two points

Question 7. The figure shows a system of two concentric spheres of radii r1 and r2 and kept at temperatures T1 and T2, respectivel....substance between the two concentric spheres is proportional to

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

GPOE / GPA Combined 1 Free Mock Test SAIL JO E-0 2024

Chapter 3.1 : INTRODUCTION Chapter 3 : Sinter Plant SAIL E0 - GPOE/GPA 2024

Chapter 2.3 : COAL HANDLING PLANT - Set 1 Chapter 2 : Coke Ovens and Coal Chemicals SAIL E0 - GPOE/GPA 2024

Chapter 1.1 : INTRODUCTION Chapter 1 : Raw Material Handling Plant SAIL E0 - GPOE/GPA 2024

DSP Combined 1 Free Revision Test SAIL JO E-0