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The lateral displacement of an incident ray passing out of a rectangular glass slab
- a)independent of the thickness of the glass slab
- b)inversely proportional to the thickness of the glass slab
- c)is directly proportional to the thickness of the glass slab
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
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The lateral displacement of an incident ray passing out of a rectangul...
The lateral displacement of an incident ray passing out of a rectangular glass slab is directly proportional to the thickness of glass slab, angle of incidence, and refractive index however it is inversely proportional to the wavelength of incident light.
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The lateral displacement of an incident ray passing out of a rectangul...
Explanation:
When a ray of light enters a rectangular glass slab, it gets refracted and undergoes a change in direction. Due to the change in direction, the ray gets displaced laterally from its original path. The amount of lateral displacement depends on the thickness of the glass slab.
Directly proportional relationship:
The lateral displacement of the incident ray is directly proportional to the thickness of the glass slab.
This means that if the thickness of the glass slab is increased, the lateral displacement of the incident ray will also increase proportionally. Similarly, if the thickness of the glass slab is decreased, the lateral displacement of the incident ray will also decrease proportionally.
This relationship can be mathematically represented as:
d ∝ t
where d is the lateral displacement of the incident ray and t is the thickness of the glass slab.
This relationship holds true for a rectangular glass slab because the angle of incidence, angle of refraction, and refractive index of the glass remain constant in this case.
Independent of thickness:
The lateral displacement of the incident ray is independent of the thickness of the glass slab.
This statement is incorrect because as explained above, the lateral displacement is directly proportional to the thickness of the glass slab.
Inversely proportional relationship:
The lateral displacement of the incident ray is inversely proportional to the thickness of the glass slab.
This statement is also incorrect because an inversely proportional relationship would mean that if the thickness of the glass slab is increased, the lateral displacement of the incident ray would decrease. However, as explained above, the lateral displacement is directly proportional to the thickness of the glass slab.
Conclusion:
Therefore, the correct answer is option C - the lateral displacement of an incident ray passing out of a rectangular glass slab is directly proportional to the thickness of the glass slab.
When a ray of light enters a rectangular glass slab, it gets refracted and undergoes a change in direction. Due to the change in direction, the ray gets displaced laterally from its original path. The amount of lateral displacement depends on the thickness of the glass slab.
Directly proportional relationship:
The lateral displacement of the incident ray is directly proportional to the thickness of the glass slab.
This means that if the thickness of the glass slab is increased, the lateral displacement of the incident ray will also increase proportionally. Similarly, if the thickness of the glass slab is decreased, the lateral displacement of the incident ray will also decrease proportionally.
This relationship can be mathematically represented as:
d ∝ t
where d is the lateral displacement of the incident ray and t is the thickness of the glass slab.
This relationship holds true for a rectangular glass slab because the angle of incidence, angle of refraction, and refractive index of the glass remain constant in this case.
Independent of thickness:
The lateral displacement of the incident ray is independent of the thickness of the glass slab.
This statement is incorrect because as explained above, the lateral displacement is directly proportional to the thickness of the glass slab.
Inversely proportional relationship:
The lateral displacement of the incident ray is inversely proportional to the thickness of the glass slab.
This statement is also incorrect because an inversely proportional relationship would mean that if the thickness of the glass slab is increased, the lateral displacement of the incident ray would decrease. However, as explained above, the lateral displacement is directly proportional to the thickness of the glass slab.
Conclusion:
Therefore, the correct answer is option C - the lateral displacement of an incident ray passing out of a rectangular glass slab is directly proportional to the thickness of the glass slab.
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The lateral displacement of an incident ray passing out of a rectangular glass slaba)independent of the thickness of the glass slabb)inversely proportional to the thickness of the glass slabc)is directly proportional to the thickness of the glass slabd)None of theseCorrect answer is option 'C'. Can you explain this answer?
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