Total Internal Reflection in Refraction Physics: Solving for Critical Angle

AI Thread Summary
The discussion focuses on calculating the critical angle for total internal reflection in a material with an index of refraction of 1.2, which is determined to be 56.44 degrees. Participants confirm that for total internal reflection to occur, the angle of incidence must be greater than this critical angle. Snell's Law is recommended as a useful tool for solving such problems. The consensus is that the angle beyond which total internal reflection occurs is indeed greater than 56.44 degrees. Overall, the critical angle is a key concept in understanding total internal reflection in refraction physics.
jsalapide
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If the transparent material has an index of refraction of 1.2, what is the angle of incidence beyond which total internal reflection occurs?
 
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I solved for the critical angle and I got 56.44 degrees,

Should the answer be "greater than 56.44 degrees" so that the total internal reflection may occur?
 


EDIT: this is in response to post #1.

You'll have to show some work on the problem before receiving help.

Snell's Law is helpful here. You could also review your textbook or lecture notes discussion of total internal reflection.
 
Last edited:


jsalapide said:
I solved for the critical angle and I got 56.44 degrees,
Correct :smile:

Should the answer be "greater than 56.44 degrees" so that the total internal reflection may occur?

Since they are asking for the angle beyond which total internal reflection occurs, the answer is simply 56 degrees.
 
Thread 'Variable mass system : water sprayed into a moving container'

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}...
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