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In an experiment with the rectangular glass slab, a student observed that the a ray of light incident at an angle of 55 degree with the normal on one face of the slab, after refraction strikes the opposite face of the slab before emerging out into the air making an angle of 40 degree with the normal. What value would you assign to the angle of refraction and angle of emergence? Justify your answer.?
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**Angle of Incidence:** The angle at which the light ray strikes the surface of the glass slab is known as the angle of incidence. In this experiment, the angle of incidence is given as 55 degrees.
**Angle of Refraction:** The angle at which the light ray bends or changes direction after passing through the glass slab is known as the angle of refraction. To determine the angle of refraction, we can use Snell's Law, which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the velocities of light in the two media.
**Snell's Law:** Snell's Law is given by the equation: n1 * sin(angle of incidence) = n2 * sin(angle of refraction), where n1 and n2 are the refractive indices of the two media.
**Angle of Emergence:** The angle at which the light ray emerges from the glass slab and enters the air is known as the angle of emergence. In this experiment, the angle of emergence is given as 40 degrees.
Now let's determine the angle of refraction and the angle of emergence using Snell's Law:
1. Determine the refractive index of the glass slab using the given information.
- We know that the angle of incidence is 55 degrees and the angle of refraction is unknown.
- We also know that the angle of emergence is 40 degrees.
- Using Snell's Law, we can write: n1 * sin(55) = n2 * sin(angle of refraction) and n2 * sin(angle of refraction) = 1 * sin(40)
- Simplifying the equation, we get: sin(55) = n2 * sin(angle of refraction) and n2 * sin(angle of refraction) = sin(40)
- Dividing the two equations, we get: sin(55) / sin(40) = n2 * sin(angle of refraction) / sin(angle of refraction)
- Simplifying further, we get: sin(55) / sin(40) = n2
- Using a calculator, we can find the value of n2 as approximately 1.349.
2. Determine the angle of refraction using the refractive index of the glass slab.
- Now that we know the refractive index of the glass slab (n2), we can substitute it back into Snell's Law to find the angle of refraction.
- We have: n1 * sin(55) = n2 * sin(angle of refraction)
- Substituting the values, we get: 1 * sin(55) = 1.349 * sin(angle of refraction)
- Solving for sin(angle of refraction), we get: sin(angle of refraction) = sin(55) / 1.349
- Using a calculator, we can find the value of sin(angle of refraction) as approximately 0.698.
- To find the angle of refraction, we take the inverse sine (sin^-1) of 0.698.
- Using a calculator, we find the angle of refraction as approximately 44.7 degrees.
3. Determine the angle of emergence using the refractive index of the glass slab.
- Now that we know the angle of refraction,
**Angle of Refraction:** The angle at which the light ray bends or changes direction after passing through the glass slab is known as the angle of refraction. To determine the angle of refraction, we can use Snell's Law, which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the velocities of light in the two media.
**Snell's Law:** Snell's Law is given by the equation: n1 * sin(angle of incidence) = n2 * sin(angle of refraction), where n1 and n2 are the refractive indices of the two media.
**Angle of Emergence:** The angle at which the light ray emerges from the glass slab and enters the air is known as the angle of emergence. In this experiment, the angle of emergence is given as 40 degrees.
Now let's determine the angle of refraction and the angle of emergence using Snell's Law:
1. Determine the refractive index of the glass slab using the given information.
- We know that the angle of incidence is 55 degrees and the angle of refraction is unknown.
- We also know that the angle of emergence is 40 degrees.
- Using Snell's Law, we can write: n1 * sin(55) = n2 * sin(angle of refraction) and n2 * sin(angle of refraction) = 1 * sin(40)
- Simplifying the equation, we get: sin(55) = n2 * sin(angle of refraction) and n2 * sin(angle of refraction) = sin(40)
- Dividing the two equations, we get: sin(55) / sin(40) = n2 * sin(angle of refraction) / sin(angle of refraction)
- Simplifying further, we get: sin(55) / sin(40) = n2
- Using a calculator, we can find the value of n2 as approximately 1.349.
2. Determine the angle of refraction using the refractive index of the glass slab.
- Now that we know the refractive index of the glass slab (n2), we can substitute it back into Snell's Law to find the angle of refraction.
- We have: n1 * sin(55) = n2 * sin(angle of refraction)
- Substituting the values, we get: 1 * sin(55) = 1.349 * sin(angle of refraction)
- Solving for sin(angle of refraction), we get: sin(angle of refraction) = sin(55) / 1.349
- Using a calculator, we can find the value of sin(angle of refraction) as approximately 0.698.
- To find the angle of refraction, we take the inverse sine (sin^-1) of 0.698.
- Using a calculator, we find the angle of refraction as approximately 44.7 degrees.
3. Determine the angle of emergence using the refractive index of the glass slab.
- Now that we know the angle of refraction,
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In an experiment with the rectangular glass slab, a student observed that the a ray of light incident at an angle of 55 degree with the normal on one face of the slab, after refraction strikes the opposite face of the slab before emerging out into the air making an angle of 40 degree with the normal. What value would you assign to the angle of refraction and angle of emergence? Justify your answer.?
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In an experiment with the rectangular glass slab, a student observed that the a ray of light incident at an angle of 55 degree with the normal on one face of the slab, after refraction strikes the opposite face of the slab before emerging out into the air making an angle of 40 degree with the normal. What value would you assign to the angle of refraction and angle of emergence? Justify your answer.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about In an experiment with the rectangular glass slab, a student observed that the a ray of light incident at an angle of 55 degree with the normal on one face of the slab, after refraction strikes the opposite face of the slab before emerging out into the air making an angle of 40 degree with the normal. What value would you assign to the angle of refraction and angle of emergence? Justify your answer.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an experiment with the rectangular glass slab, a student observed that the a ray of light incident at an angle of 55 degree with the normal on one face of the slab, after refraction strikes the opposite face of the slab before emerging out into the air making an angle of 40 degree with the normal. What value would you assign to the angle of refraction and angle of emergence? Justify your answer.?.
In an experiment with the rectangular glass slab, a student observed that the a ray of light incident at an angle of 55 degree with the normal on one face of the slab, after refraction strikes the opposite face of the slab before emerging out into the air making an angle of 40 degree with the normal. What value would you assign to the angle of refraction and angle of emergence? Justify your answer.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about In an experiment with the rectangular glass slab, a student observed that the a ray of light incident at an angle of 55 degree with the normal on one face of the slab, after refraction strikes the opposite face of the slab before emerging out into the air making an angle of 40 degree with the normal. What value would you assign to the angle of refraction and angle of emergence? Justify your answer.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an experiment with the rectangular glass slab, a student observed that the a ray of light incident at an angle of 55 degree with the normal on one face of the slab, after refraction strikes the opposite face of the slab before emerging out into the air making an angle of 40 degree with the normal. What value would you assign to the angle of refraction and angle of emergence? Justify your answer.?.
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