Plane Mirrors and the Law of ReflectionDee Luo and Jasmine Raskas

Part 1Purpose: Determine the relationship between the angle of incidence and angle of reflection.

Hypothesis: The angle of incidence is the same as the angle of reflection.

Part 1 - Diagrams

Plane Mirror

Angle of Incidence

Angel of Reflection

Incidence Ray Reflection Ray

Part 1 - Diagrams

Plane Mirror

Polar Grid

Light Source

Part 1 - Data

Part 1 - Graph

Part 1 – Mathematical Analysis• θR Angle of Reflection • θi Angle of Incidence• θR θ∝ I

• θR = k θI

• k = 0.997 ( calculated by logger pro)• θR = (0.997) θI

Part 1 – Error AnalysisAccepted Value: 1Experimental Value: .997 • Absolute Error: |Acc Value-Exp Value| |1-.997| 0.003

• Relative Error: |Acc Value-Exp Value|/Acc Value * 100 |1-.997|/1* 100 0.3% Sources of Error:• The angle of the mirror was not perpendicular to the laser.• The markings on the given paper were not consistent.

Part 2 Purpose: Determine the relationship between the object distance and image distance.

Hypothesis: The object distance will be equal to the image distance.

Part 2 - Diagrams

Object DistanceImage Distance

ObjectImage

Plane Mirror

Part 2 - Diagrams

Plane Mirror

Object Distance

Object

Image Distance

Part 2 - Data

Part 2 - Graph

Part 2 – Mathematical Analysis• DoObject Distance• Di Image Distance• Di Do∝• Di=k Do• K=0.999 (calculated by logger pro)• Di=(0.999) Do

Part 2 – Error AnalysisAccepted Value: 1Experimental Value: .999 • Absolute Error: |Acc Value-Exp Value| |1-.999| 0.001 • Relative Error: |Acc Value-Exp Value|/Acc Value * 100 |1-.999|/1 * 100 .01% Sources of Error:• The mirror was difficult to see through• It was hard to make the marking without moving the mirror• The mirror was not completely perpendicular to the page

Part 3 Purpose: Determine the relationship between the object height and image height.

Hypothesis: The object height will be equal to the image height.

Part 3 - Diagrams

Object Height

Image Height

ObjectImage

Plane Mirror

Part 3 - Diagrams

Plane Mirror

Object Height

Object

Image Height

Part 3 - Data

Part 3 - Graph

Part 3 – Mathematical Analysis• HoObject Height• Hi Image Height• Hi Ho∝• Hi=k Ho• K=0.995• Hi=(0.995) Ho

Part 3 – Error AnalysisAccepted Value: 1Experimental Value: .995 • Absolute Error: |Acc Value-Exp Value| |1-.995| 0.005 • Relative Error: |Acc Value-Exp Value|/Acc Value * 100 |1-.995|/1 * 100 .05% Sources of Error:• The mirror was difficult to see through• It was hard to make the marking without moving the mirror• The mirror was not completely perpendicular to the page