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A beam of parallel light rays is incident on a solid transparent spheres of refractive index mew .If a point images is produces just at the back of the sphere what is the refractive index of the sphere? a)1.8 b)1.72 c)2 d)1.94?
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Refractive Index of a Transparent Sphere
To determine the refractive index of a solid transparent sphere, we can use the concept of image formation by a lens. When a beam of parallel light rays is incident on a sphere, the rays refract at the surface of the sphere and converge to form an image. In this case, the image is formed just at the back of the sphere.
Step 1: Understand the Situation
- Beam of parallel light rays is incident on a solid transparent sphere.
- The light rays refract at the surface of the sphere.
- An image is formed just at the back of the sphere.
Step 2: Apply the Lens Formula
The lens formula relates the object distance (u), image distance (v), and focal length (f) of a lens. In this case, we can consider the sphere as a lens.
The lens formula is given by:
1/f = 1/v - 1/u
Since the light rays are parallel, the object distance (u) can be taken as infinity.
Step 3: Determine the Focal Length
When the image is formed just at the back of the sphere, the image distance (v) is equal to the radius of the sphere (R). This is because the rays converge at the back of the sphere.
Step 4: Substitute Values and Solve
Substituting the values into the lens formula:
1/f = 1/R - 0
Since the image distance (v) is equal to the radius of the sphere (R), we can rewrite the formula as:
1/f = 1/R
The refractive index (mew) of the sphere is given by the formula:
mew = 1 + (1/f)
Substituting the value of 1/f from the lens formula, we get:
mew = 1 + (1/R)
Step 5: Calculate the Refractive Index
To calculate the refractive index, we need to know the radius of the sphere. Unfortunately, the radius is not provided in the question, so we cannot calculate the refractive index.
Therefore, the correct answer cannot be determined from the given information. The options provided (a) 1.8, (b) 1.72, (c) 2, and (d) 1.94 cannot be confirmed as the correct answer without the radius of the sphere.
Conclusion
To determine the refractive index of a solid transparent sphere, we need to know the radius of the sphere. Without the radius information, we cannot calculate the refractive index and confirm the correct answer.
To determine the refractive index of a solid transparent sphere, we can use the concept of image formation by a lens. When a beam of parallel light rays is incident on a sphere, the rays refract at the surface of the sphere and converge to form an image. In this case, the image is formed just at the back of the sphere.
Step 1: Understand the Situation
- Beam of parallel light rays is incident on a solid transparent sphere.
- The light rays refract at the surface of the sphere.
- An image is formed just at the back of the sphere.
Step 2: Apply the Lens Formula
The lens formula relates the object distance (u), image distance (v), and focal length (f) of a lens. In this case, we can consider the sphere as a lens.
The lens formula is given by:
1/f = 1/v - 1/u
Since the light rays are parallel, the object distance (u) can be taken as infinity.
Step 3: Determine the Focal Length
When the image is formed just at the back of the sphere, the image distance (v) is equal to the radius of the sphere (R). This is because the rays converge at the back of the sphere.
Step 4: Substitute Values and Solve
Substituting the values into the lens formula:
1/f = 1/R - 0
Since the image distance (v) is equal to the radius of the sphere (R), we can rewrite the formula as:
1/f = 1/R
The refractive index (mew) of the sphere is given by the formula:
mew = 1 + (1/f)
Substituting the value of 1/f from the lens formula, we get:
mew = 1 + (1/R)
Step 5: Calculate the Refractive Index
To calculate the refractive index, we need to know the radius of the sphere. Unfortunately, the radius is not provided in the question, so we cannot calculate the refractive index.
Therefore, the correct answer cannot be determined from the given information. The options provided (a) 1.8, (b) 1.72, (c) 2, and (d) 1.94 cannot be confirmed as the correct answer without the radius of the sphere.
Conclusion
To determine the refractive index of a solid transparent sphere, we need to know the radius of the sphere. Without the radius information, we cannot calculate the refractive index and confirm the correct answer.
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A beam of parallel light rays is incident on a solid transparent spheres of refractive index mew .If a point images is produces just at the back of the sphere what is the refractive index of the sphere? a)1.8 b)1.72 c)2 d)1.94?
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A beam of parallel light rays is incident on a solid transparent spheres of refractive index mew .If a point images is produces just at the back of the sphere what is the refractive index of the sphere? a)1.8 b)1.72 c)2 d)1.94? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A beam of parallel light rays is incident on a solid transparent spheres of refractive index mew .If a point images is produces just at the back of the sphere what is the refractive index of the sphere? a)1.8 b)1.72 c)2 d)1.94? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A beam of parallel light rays is incident on a solid transparent spheres of refractive index mew .If a point images is produces just at the back of the sphere what is the refractive index of the sphere? a)1.8 b)1.72 c)2 d)1.94?.
A beam of parallel light rays is incident on a solid transparent spheres of refractive index mew .If a point images is produces just at the back of the sphere what is the refractive index of the sphere? a)1.8 b)1.72 c)2 d)1.94? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A beam of parallel light rays is incident on a solid transparent spheres of refractive index mew .If a point images is produces just at the back of the sphere what is the refractive index of the sphere? a)1.8 b)1.72 c)2 d)1.94? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A beam of parallel light rays is incident on a solid transparent spheres of refractive index mew .If a point images is produces just at the back of the sphere what is the refractive index of the sphere? a)1.8 b)1.72 c)2 d)1.94?.
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