Explanation The intensity I of heat varies directly as the strength of the source and inversely as the square of the distance from the source. i.e. I ∝ 8.00 x 2 I = 8 k x 2 Where k is the proportionality constant and x is the distance from the source. Draw the diagram based on the given data which is shown in fig. 1. Differentiate the equation I = 8 k x 2 with respect to t : d d t ( I ) = d d t ( 8 k x 2 ) d I d t = 8 k d d t ( x ) − 2 d I d t = 8 k × ( − 2 ) ( x ) − 3 d x d t = − 16 k ( x ) 3 d x d t Substitute the distance from the source x is 100 cm and the rate is d x d t = − 50

11th Edition

ISBN: 9780134437705

Author: Washington

Publisher: PEARSON

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Chapter 24.4, Problem 31E

To determine

The change of intensity when it is 100 cm from the source.

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Chapter 24.4, Problem 30E

Chapter 24.4, Problem 32E

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