Refractive index of different colors

AI Thread Summary
The discussion focuses on designing an experiment to measure the refractive indices of different colors using a white laser, color filters, and a glass block. The original plan involves measuring angles of incidence and refraction, but participants note that the small variation in refractive index with frequency complicates this. Suggestions include exploring total internal reflection and using trigonometry to measure beam positions instead of relying solely on protractors for small angle differences. The consensus is that while a prism would simplify the experiment, the rectangular glass block is required, and accurate length measurements can aid in determining refractive differences. Overall, the discussion emphasizes the importance of adapting measurement techniques to account for the limitations of the equipment.
MrEinstein
Messages
6
Reaction score
0

Homework Statement



I have to design an experiment to determine the difference in refractive indices for different colors.

Assume you have : color filters,glass block



Homework Equations





The Attempt at a Solution



I want to do it buy shining a white laser light through filters into the glass block and measuring the angle of incidence and refraction using a protractor. But they say to take into account the fact that the variation of refractive index with frequency is very small. So what else can I do to take that into account?
 
Physics news on Phys.org
Total reflection might be interesting to study, as it is quite sensitive to small angle differences.
A prism would be easier, of course.
 
But what exactly do we use to measure the angle of refraction? It's going to be such a small angle difference that a protractor can't help. Yeah,with a prism it would be easy but they say that you have a rectangular glass block so they clearly want you to use it.
 
Measure the position of the beam at different points and use trigonometry? If you just need the difference and not an absolute value, it is easier.
 
Ahhh trigs. Length can be measured more accurately than angles. This explains the glass block, instant right angled triangle.
Thank you man
 
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
Back
Top