- #1
Pythia
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Homework Statement
Find the expected lateral displacement for a spot of light at a power of [itex]6^{∆}[/itex].
Distance from prism to where displacement was measured (b) = 62.2cm.
The following displacements (x) were measured from the power given on the knob of the prism:
[itex]3^{∆}[/itex] = 1.80cm
[itex]6^{∆}[/itex] = 3.51cm
Homework Equations
P = 100[itex]\frac{x}{b}[/itex]
If prisms are at 90° to each other, then resulting power will be 2P (with appropriate displacement). If prisms are at any other angle [0°,90°) then resulting power is 2Psinθ where θ is the angle between the two prism.
The Attempt at a Solution
[itex]6^{∆}[/itex] = 100[itex]\frac{x}{62.2cm}[/itex]
x = 3.73cm
This is comparable to what I recorded, however I'm unsure then why I was told to record the [itex]3^{∆}[/itex] reading and if the 2P or 2Psinθ parts were needed.