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A microscope is focussed on a mark on a pieceof paper and then a slab of glass of thickness 3cm and refractive index 1.5 is placed over themark. How should the microscope be moved toget the mark in focus again ? [2006]
- a)4.5 cm downward
- b)1 cm downward
- c)2 cm upward
- d)1 cm upward
Correct answer is option 'D'. Can you explain this answer?
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A microscope is focussed on a mark on a pieceof paper and then a slab ...
In the later case microscope will be focussed for O'. So, it is required to be lifted by distance OO'.
OO' = real depth of O – apparent depth of O.
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A microscope is focussed on a mark on a pieceof paper and then a slab ...
To understand why the correct answer is option 'D', let's break down the given information and the concept of refraction.
Given information:
- A microscope is focused on a mark on a piece of paper.
- A slab of glass with a thickness of 3 cm is placed over the mark.
- The refractive index of the glass slab is 1.5.
Concept of refraction:
When light passes from one medium to another with a different refractive index, it changes its direction. This phenomenon is called refraction.
Explanation:
1. When the microscope is focused on the mark on the paper, it means that the light rays from the mark converge at the focal point of the microscope lens.
2. Now, when the glass slab is placed over the mark, the light rays coming from the mark enter the glass slab, and due to the change in the refractive index, they bend or deviate from their original path.
3. To bring the mark back into focus, we need to adjust the microscope accordingly.
Now, let's consider the options given and analyze each one:
a) 4.5 cm downward:
If the microscope is moved 4.5 cm downward, it means we are increasing the distance between the mark and the microscope lens. This would not bring the mark back into focus because the light rays are already bent or deviated by the glass slab. Therefore, option 'a' is incorrect.
b) 1 cm downward:
Similar to option 'a', moving the microscope 1 cm downward would increase the distance between the mark and the microscope lens. This would not bring the mark back into focus. Therefore, option 'b' is incorrect.
c) 2 cm upward:
If the microscope is moved 2 cm upward, it means we are decreasing the distance between the mark and the microscope lens. This would help in bringing the mark back into focus because the light rays would have a shorter path to travel through the glass slab. However, the given options suggest moving the microscope upward by 1 cm, not 2 cm. Therefore, option 'c' is incorrect.
d) 1 cm upward:
Moving the microscope 1 cm upward would decrease the distance between the mark and the microscope lens. This is the correct option because it would help in bringing the mark back into focus by compensating for the deviation caused by the glass slab. The light rays would have a shorter path to travel through the glass slab, allowing them to converge at the focal point of the microscope lens. Therefore, option 'd' is correct.
In conclusion, to get the mark back in focus, the microscope should be moved 1 cm upward.
Given information:
- A microscope is focused on a mark on a piece of paper.
- A slab of glass with a thickness of 3 cm is placed over the mark.
- The refractive index of the glass slab is 1.5.
Concept of refraction:
When light passes from one medium to another with a different refractive index, it changes its direction. This phenomenon is called refraction.
Explanation:
1. When the microscope is focused on the mark on the paper, it means that the light rays from the mark converge at the focal point of the microscope lens.
2. Now, when the glass slab is placed over the mark, the light rays coming from the mark enter the glass slab, and due to the change in the refractive index, they bend or deviate from their original path.
3. To bring the mark back into focus, we need to adjust the microscope accordingly.
Now, let's consider the options given and analyze each one:
a) 4.5 cm downward:
If the microscope is moved 4.5 cm downward, it means we are increasing the distance between the mark and the microscope lens. This would not bring the mark back into focus because the light rays are already bent or deviated by the glass slab. Therefore, option 'a' is incorrect.
b) 1 cm downward:
Similar to option 'a', moving the microscope 1 cm downward would increase the distance between the mark and the microscope lens. This would not bring the mark back into focus. Therefore, option 'b' is incorrect.
c) 2 cm upward:
If the microscope is moved 2 cm upward, it means we are decreasing the distance between the mark and the microscope lens. This would help in bringing the mark back into focus because the light rays would have a shorter path to travel through the glass slab. However, the given options suggest moving the microscope upward by 1 cm, not 2 cm. Therefore, option 'c' is incorrect.
d) 1 cm upward:
Moving the microscope 1 cm upward would decrease the distance between the mark and the microscope lens. This is the correct option because it would help in bringing the mark back into focus by compensating for the deviation caused by the glass slab. The light rays would have a shorter path to travel through the glass slab, allowing them to converge at the focal point of the microscope lens. Therefore, option 'd' is correct.
In conclusion, to get the mark back in focus, the microscope should be moved 1 cm upward.
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A microscope is focussed on a mark on a pieceof paper and then a slab of glass of thickness 3cm and refractive index 1.5 is placed over themark. How should the microscope be moved toget the mark in focus again ? [2006]a)4.5 cm downwardb)1 cm downwardc)2 cm upwardd)1 cm upwardCorrect answer is option 'D'. Can you explain this answer?
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