(a) Explanation The quantity d is made three times larger. Write the given equation for thermal conduction of energy in to cylindrical block of ice is, Q Δ t = k π d 2 ( T b − T c ) 4 L For experimental control, in one set of trials all quantities except d and Δ t are constant. For all quantities are constant except d and Δ t , this equation can be written as, Δ t ∝ 1 d 2 Write the ratio of two different values of Δ t Δ t 1 Δ t 2 = ( d 2 d 1 ) 2 Here, (b) To determine The pattern of proportionality of Δ t to d does the equation predict. (c) To determine The quantities that should be plotted on the horizontal and vertical axis to display the above proportionality as a straight line on a graph, (d) To determine The slope of the above graph.

10th Edition

ISBN: 9781337553575

Author: SERWAY

Publisher: CENGAGE L

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Question

Chapter 1, Problem 28P

(a)

To determine

The factor by which Δt will get larger or smaller if d is made three times larger.

(b)

To determine

The pattern of proportionality of Δt to d does the equation predict.

(c)

To determine

The quantities that should be plotted on the horizontal and vertical axis to display the above proportionality as a straight line on a graph,

(d)

To determine

The slope of the above graph.

Expert Solution & Answer

Chapter 1 Solutions

PHYSICS:F/SCI.+ENGRS.,V.1

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The factor by which Δ t will get larger or smaller if d is made three times larger.

Concept explainers

The factor by which Δt will get larger or smaller if d is made three times larger.

The pattern of proportionality of Δt to d does the equation predict.

The quantities that should be plotted on the horizontal and vertical axis to display the above proportionality as a straight line on a graph,

The slope of the above graph.

Chapter 1 Solutions