Hi this question pertains to the Law of Refraction, here's the handout Graph and data taken Total internal reflection be
Posted: Mon May 02, 2022 9:09 pm
Hi this question pertains to the Law of Refraction, here's the
handout
Graph and data taken
Total internal reflection begins to occur at 42.5
degrees
For the questions I need help on, I did #1,#2, and part of
#3
I need help determining na and its uncertainty,
calculating θcrit (and its uncertainty) using the
value of the index refraction obtained in step 3 and comparing it
to the calculated value measured in step 4 on the handout
Thank you!
THE LAW OF REFRACTION INTRODUCTION PROCEDURE The law of refraction or Snell's law can be expressed: Part I: 1. Align/position the D-shaped acrylic lens so that the light beam enters the curved surface and exits the flat surface with no refraction. n, sin 0, = n, sin where 2. Vary 6, and measure both 6, and the resulting 05. na = index of refraction for material with incident light 0. = angle of incidence nb = index of refraction for material with refracted light 06 = angle of refraction 3. Plot the data according to the law of refraction such that a linear graph is produced and determine na along with its uncertainty. Note: Since the second medium is air, nb = 1.00. For total internal reflection, the critical angle (Ocrit) can be calculated using: sinec п, па (nb <na) Part II: 4. Rotate the acrylic lens until total internal reflection begins to occur. Measure crit and estimate the uncertainty. crit OBJECTIVES 5. Calculate Ocrit using the value of the index refraction obtained in Step 3, and compare the calculated value to that measured in Step 4. 1. To verify the law of refraction and determine the index of refraction. 2. To observe total internal reflection and determine the critical angle. EQUIPMENT laser • optics track with ray table D-shaped acrylic lens
THE LAW OF REFRACTION Data: PARTI a (degrees) 0 5 10 15 20 25 30 35 b (degrees) 0.0 7.5 15.0 23.0 30.0 40.0 48.5 60.0 sin( a) 0.000 0.087 0.174 0.259 0.342 0.423 0.500 sind b) 0.000 0.131 0.259 0.391 0.500 0.643 0.749 0.574 0.866
slope sin(%) vs. sin(a) 1.50715 0.01271 1.000 slope Correlation 0.99979 0.900 0.800 0.700 0.600 0.500 sin() 0.400 0.300 0.200 0.100 0.000 0.000 0.100 0.200 0.300 0.400 0.500 0.600 0.700 -0.100 sin(e)
50 40 8 30 09 20 TO 10 00 RAY TABLE DEGREE SCALE OMPONENTS NORMAL CYLINDRICAL LENS PASCO Sort COMPONENT NORMAL 30 os
handout
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degrees
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#3
I need help determining na and its uncertainty,
calculating θcrit (and its uncertainty) using the
value of the index refraction obtained in step 3 and comparing it
to the calculated value measured in step 4 on the handout
Thank you!
THE LAW OF REFRACTION INTRODUCTION PROCEDURE The law of refraction or Snell's law can be expressed: Part I: 1. Align/position the D-shaped acrylic lens so that the light beam enters the curved surface and exits the flat surface with no refraction. n, sin 0, = n, sin where 2. Vary 6, and measure both 6, and the resulting 05. na = index of refraction for material with incident light 0. = angle of incidence nb = index of refraction for material with refracted light 06 = angle of refraction 3. Plot the data according to the law of refraction such that a linear graph is produced and determine na along with its uncertainty. Note: Since the second medium is air, nb = 1.00. For total internal reflection, the critical angle (Ocrit) can be calculated using: sinec п, па (nb <na) Part II: 4. Rotate the acrylic lens until total internal reflection begins to occur. Measure crit and estimate the uncertainty. crit OBJECTIVES 5. Calculate Ocrit using the value of the index refraction obtained in Step 3, and compare the calculated value to that measured in Step 4. 1. To verify the law of refraction and determine the index of refraction. 2. To observe total internal reflection and determine the critical angle. EQUIPMENT laser • optics track with ray table D-shaped acrylic lens
THE LAW OF REFRACTION Data: PARTI a (degrees) 0 5 10 15 20 25 30 35 b (degrees) 0.0 7.5 15.0 23.0 30.0 40.0 48.5 60.0 sin( a) 0.000 0.087 0.174 0.259 0.342 0.423 0.500 sind b) 0.000 0.131 0.259 0.391 0.500 0.643 0.749 0.574 0.866
slope sin(%) vs. sin(a) 1.50715 0.01271 1.000 slope Correlation 0.99979 0.900 0.800 0.700 0.600 0.500 sin() 0.400 0.300 0.200 0.100 0.000 0.000 0.100 0.200 0.300 0.400 0.500 0.600 0.700 -0.100 sin(e)
50 40 8 30 09 20 TO 10 00 RAY TABLE DEGREE SCALE OMPONENTS NORMAL CYLINDRICAL LENS PASCO Sort COMPONENT NORMAL 30 os