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Q. No.A convex lens is made from glass material having refractive index of \(1.4\) with same radius of curvature on both sides. The ratio of its focal length and radius of curvature is:
1. \(0.5\)
2. \(2.5\)
3. \(0.8\)
4. \(1.25\)
1. \(0.5\)
2. \(2.5\)
3. \(0.8\)
4. \(1.25\)
Subtopic: Lens Makers' Formula |
Level 3: 35%-60%
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One side of an equilateral prism is painted by transparent material of refractive index \(n_2\). The refractive index of prism is \(1.6\). The minimum value of \(n_2\) required for total internal reflection from painted face is:
1. \(3 \sqrt{3} / 1.6 \)
2. \(\sqrt{3}\)
3. \(3.2 / \sqrt{3} \)
4. \(4 \sqrt{3} / 5\)
1. \(3 \sqrt{3} / 1.6 \)
2. \(\sqrt{3}\)
3. \(3.2 / \sqrt{3} \)
4. \(4 \sqrt{3} / 5\)
Subtopic: Prisms |
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Level 2: 60%+
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If sunlight is focused on a paper using convex lens, it starts burning the paper in shortest time when the lens is kept at \(30~\text{cm}\) above the paper. If the radius of curvature of the lens is \(60~\text{cm}\) then the refractive index of the lens material is \(\dfrac {\alpha}{10}.\) \(\alpha\)
1. \(10\)
2. \(20\)
3. \(30\)
4. \(40\)
1. \(10\)
2. \(20\)
3. \(30\)
4. \(40\)
Subtopic: Lens Makers' Formula |
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Angle of minimum deviation is equal to the half of the angle of prism in an equilateral prism. The refractive index of the prism is:
1. \(1.5\)
2. \(\sqrt{3}\)
3. \(\sqrt{2}\)
4. \(1.65\)
1. \(1.5\)
2. \(\sqrt{3}\)
3. \(\sqrt{2}\)
4. \(1.65\)
Subtopic: Prisms |
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A concave mirror of focal length \(10~\text{cm}\) forms an image which is double the size of object when the object is placed at two different positions. The distance between the two positions of the object is: (in cm)
1. \(50\)
2. \(30\)
3. \(10\)
4. \(40\)
1. \(50\)
2. \(30\)
3. \(10\)
4. \(40\)
Subtopic: Reflection at Spherical Surface |
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A spherical interface lens of radius \(R\) separates two media of refractive indices \(1\) and \(1.4\) respectively as shown in the figure below. A point source is placed at a distance of \(4R\) in front of spherical interface. The magnitude of the magnification of point source image is:
1. \(1.66\)
2. \(2.33\)
3. \(2.66\)
3. \(1.33\)
1. \(1.66\)
2. \(2.33\)
3. \(2.66\)
3. \(1.33\)
Subtopic: Refraction at Curved Surface |
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For a thin symmetric prism made of glass (refractive index \(1.5\)), the ratio of incident angle and minimum deviation will be:
1. \(3:4\)
2. \(3:2\)
3. \(2:1\)
4. \(1:2\)
1. \(3:4\)
2. \(3:2\)
3. \(2:1\)
4. \(1:2\)
Subtopic: Prisms |
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Refer the figure given below. \(\mu_1\) and \(\mu_2\) are refractive indices of air lens material. The height of image will be: (in cm)
1. \(1\)
2. \(0.5\)
3. \(1.2\)
4. \(0.25\)
1. \(1\)
2. \(0.5\)
3. \(1.2\)
4. \(0.25\)
Subtopic: Refraction at Curved Surface |
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A ray of light passing through an equilateral prism is having velocity \(2.12 \times 10^8 ~\text{m/s} \) in the prism material, then the minimum angle of deviation is: (in degrees)
1. \(45\)
2. \(30\)
3. \(28\)
4. \(58\)
1. \(45\)
2. \(30\)
3. \(28\)
4. \(58\)
Subtopic: Prisms |
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A compound microscope is designed with two symmetric biconvex lenses. The objective lens is cut vertically, creating two identical plano-convex lenses. One of them is used in place of original objective lens. To retain same magnification keeping the object distance unchanged, the tube length has to be:
1. increased two times
2. increased times \(\dfrac{3}{2}\) times
3. decreased two times
4. decreased times \(\dfrac{3}{2}\)
1. increased two times
2. increased times \(\dfrac{3}{2}\) times
3. decreased two times
4. decreased times \(\dfrac{3}{2}\)
Subtopic: Simple & Compound Microscope |
Level 4: Below 35%
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