(a) Explanation Given data: The density of sliver is 10 , 500 kg m 3 . The density of iron is 7 , 860 kg m 3 . Formula used: Write the expression for conducted heat ( Q ) . Q = ( k A Δ T ) t L . (1) Here, k is thermal conductivity of material, A is cross-section area, Δ T is temperature difference between the ends, and L is length Write the expression for mass of cylindrical rod ( m ) . m = ρ L A (2) Here, ρ is density, L is length, A is cross-sectional area. Explanation: Refer to Table 13.1 in textbook for thermal conductivities of selected materials. From table 13.1, the thermal conductivity of silver is 420 J s ⋅ m ⋅ C ° and the thermal conductivity of iron is 79 J s ⋅ m ⋅ C ° . Modify the equation, for silver. Q = ( k s A s Δ T ) t L s (3) Here, k s is thermal conductivity of silver, A s is cross-section area of sliver rod, and L s is length of silver rod. Modify the equation, for iron. Q = ( k i A i Δ T ) t L i (4) Here, k i is thermal conductivity of iron, A i is cross-section area of iron rod, and L i is length of iron rod. The heat conducted in silver and iron rods is equal. hence, Equate the equations (3) and (4). ( k s A s Δ T ) t L s = ( k i A i Δ T ) t L i Re-arrange the equation. L s L i = ( k s A s Δ T ) t ( k i A i Δ T ) t L s L i = k s A s k i A i L s L i = k s k i ( A s A i ) (5) Modify the equation (2), for silver. m s = ρ s L s A s Here, ρ s is density of silver, and m s is mass of silver. Modify the equation (2), for iron. m i = ρ i L i A i Here, ρ i is density of iron, and m i is mass of iron. The mass of sliver is equal to the mass of silver. m s = m i Substitute ρ s L s A s for m s and ρ i L i A i for m i , ρ s L s A s = ρ i L i A i Re-arrange the equation (b) To determine The ratio of radii of silver rod to radii of iron rod.

10th Edition

ISBN: 9781119081739

Author: CUTNELL

Publisher: WILEY

See similar textbooks

Concept explainers

Latent heat and phase change

A physical process in which a conversion among the basic states or phases of matter, i.e., solid, liquid, and gas takes place under the effect of a certain temperature and pressure is referred to as a phase change. Generally, the phase change of a substa…

Triple Point of Water

The branch of physics in which observer deals with temperature related properties is called thermodynamics.

Boiling Point of Water

Everyday examples of boiling is, boiling milk, heating water. One would have observed that when we heat water it goes through various stages and at one point bubbles show in water, and water keeps splashing with bubbles bursting, we in layman terms say t…

Freezing Point of Water

In general, the freezing point of water is 0° Celsius, or 32° Fahrenheit. This is the temperature at which water will ordinarily change from its liquid state to its solid state (ice). However, there are certain conditions that can affect the freezing poi…

Question

Chapter 13, Problem 43AP

(a)

To determine

The ratio of length of silver rod to length of iron rod.

(b)

To determine

The ratio of radii of silver rod to radii of iron rod.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 13, Problem 42AP

Chapter 13, Problem 44AP

Students have asked these similar questions

No Chatgpt please will upvote

No Chatgpt please

Chapter 13 Solutions

EP PHYSICS (W/ANSWERS+INDEX)

Ch. 13.1 - Prob. 1CYU Ch. 13.2 - Prob. 2CYU Ch. 13.2 - Prob. 3CYU Ch. 13.2 - 4. Concrete walls often contain steel...Ch. 13.2 - Prob. 5CYU Ch. 13.2 - Prob. 6CYU Ch. 13.2 - Prob. 7CYU Ch. 13.2 - Prob. 8CYU Ch. 13.2 - Prob. 9CYU Ch. 13.3 - Prob. 10CYU

Ch. 13.3 - Prob. 11CYU Ch. 13.3 - Prob. 12CYU Ch. 13.3 - Prob. 13CYU Ch. 13.3 - Prob. 14CYU Ch. 13.3 - Prob. 15CYU Ch. 13 - Prob. 1FC Ch. 13 - Prob. 2FC Ch. 13 - 4. The drawing shows a composite slab consisting...Ch. 13 - Prob. 6FC Ch. 13 - Prob. 8FC Ch. 13 - Prob. 10FC Ch. 13 - Prob. 11FC Ch. 13 - Prob. 1P Ch. 13 - 2. In an electrically heated home, the temperature...Ch. 13 - Prob. 3P Ch. 13 - Prob. 4P Ch. 13 - Prob. 5P Ch. 13 - Prob. 6P Ch. 13 - Prob. 7P Ch. 13 - Prob. 8P Ch. 13 - Prob. 9P Ch. 13 - Prob. 10P Ch. 13 - Prob. 11P Ch. 13 - Prob. 12P Ch. 13 - Prob. 13P Ch. 13 - *14. Two pots are identical except that the flat...Ch. 13 - Prob. 15P Ch. 13 - Prob. 16P Ch. 13 - Prob. 17P Ch. 13 - Prob. 18P Ch. 13 - Prob. 19P Ch. 13 - Prob. 20P Ch. 13 - Prob. 21P Ch. 13 - Prob. 22P Ch. 13 - Prob. 23P Ch. 13 - Prob. 24P Ch. 13 - Prob. 25P Ch. 13 - Prob. 26P Ch. 13 - 27. A baking dish is removed from a hot oven and...Ch. 13 - Prob. 28P Ch. 13 - 29. Suppose the skin temperature of a naked person...Ch. 13 - Prob. 30P Ch. 13 - Prob. 31P Ch. 13 - Prob. 32P Ch. 13 - Prob. 33P Ch. 13 - Prob. 34P Ch. 13 - Prob. 35AP Ch. 13 - Prob. 36AP Ch. 13 - Prob. 37AP Ch. 13 - Prob. 38AP Ch. 13 - Prob. 39AP Ch. 13 - *40. Part a of the drawing shows a rectangular bar...Ch. 13 - Prob. 41AP Ch. 13 - Prob. 42AP Ch. 13 - Prob. 43AP Ch. 13 - **44. One end of a 0.25-m copper rod with a...Ch. 13 - *45. A wood-burning stove (emissivity = 0.900 and...Ch. 13 - Prob. 46CCP Ch. 13 - Prob. 47CCP

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

SEE MORE QUESTIONS

Recommended textbooks for you

College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON