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The intensity I produced by a light of power W at a distance x metres from the light is given by I = Two lights L, and L, of power W and 2W respectively, are positioned 30 metres apart. a Write down an expression for the combined intensity I, of L, and L2 at a point P which is x metres from L on the interval L‚L2. b Hence find the distance PL 1, correct to the nearest centimetre, so that the combined intensity of L, and L2 at P is minimised.

The intensity I produced by a light of power W at a distance x metres from the light is given by I = Two lights L, and L, of power W and 2W respectively, are positioned 30 metres apart. a Write down an expression for the combined intensity I, of L, and L2 at a point P which is x metres from L on the interval L‚L2. b Hence find the distance PL 1, correct to the nearest centimetre, so that the combined intensity of L, and L2 at P is minimised.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The intensity I produced by a light of power W at a distance x metres from the light is given by I = Two lights L, and L, of power W and 2W respectively, are positioned 30 metres apart. a Write down an expression for the combined intensity I, of L, and L2 at a point P which is x metres from L on the interval L‚L2. b Hence find the distance PL 1, correct to the nearest centimetre, so that the combined intensity of L, and L2 at P is minimised.
Transcribed Image Text:The intensity I produced by a light of power W at a distance x metres from the light is given by I = Two lights L, and L, of power W and 2W respectively, are positioned 30 metres apart. a Write down an expression for the combined intensity I, of L, and L2 at a point P which is x metres from L on the interval L‚L2. b Hence find the distance PL 1, correct to the nearest centimetre, so that the combined intensity of L, and L2 at P is minimised.
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