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Q. No.What is the apparent depth of the bottom of the beaker shown in the figure, filled with water and oil?
1. \({5 \text H \over 8}\)
2. \({4 \text H \over 5}\)
3. \({3 \text H \over 4}\)
4. \({7 \text H \over 8}\)
Subtopic: Refraction at Plane Surface |
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Level 1: 80%+
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A point object \(R\) is located at coordinates \(\left(\dfrac{5}{8},\dfrac{3}{8},\dfrac{1}{8} \right) \) metres. A plane mirror is placed along the \(xy\)-plane \((z=0).\) The normal drawn from point \(R\) meets the mirror at point \(P.\) What is the distance between the object and its image formed by the mirror?
1. \(\dfrac{1}{2}~ \text m\)
2. \(\dfrac{1}{4}~ \text m\)
3. \(\dfrac{1}{8} ~\text m\)
4. \(1 ~\text m\)
1. \(\dfrac{1}{2}~ \text m\)
2. \(\dfrac{1}{4}~ \text m\)
3. \(\dfrac{1}{8} ~\text m\)
4. \(1 ~\text m\)
Subtopic: Reflection at Plane Surface |
60%
Level 2: 60%+
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Two different lenses are used in telescope because:
1. Magnification is increased
2. Focal length is increased
3. More light is captured
4. Spherical aberration is increased
1. Magnification is increased
2. Focal length is increased
3. More light is captured
4. Spherical aberration is increased
Subtopic: Telescope |
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Level 2: 60%+
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In the given diagram, find the distance (in cm) between 2nd and 3rd images formed to the left of mirror \(A.\)
1. \(12\) cm
2. \(18\) cm
3. \(22\) cm
4. \(16\) cm
1. \(12\) cm
2. \(18\) cm
3. \(22\) cm
4. \(16\) cm
Subtopic: Reflection at Plane Surface |
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Level 2: 60%+
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In the given diagram image forms at a distance of \(15~\text{cm}\) inside the medium of refractive index \(1.5.\) Find the object distance (in \(\text{cm}\)) from point \(P.\)
1. 15
2. 30
3. 12
4. 10
1. 15
2. 30
3. 12
4. 10
Subtopic: Refraction at Curved Surface |
76%
Level 2: 60%+
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If the refractive index of a material of equilateral prism is \(\sqrt{2}\) , then the angle of minimum deviation of the prism is:
1. \(90^\circ\)
2. \(45^\circ\)
3. \(30^\circ\)
4. \(60^\circ\)
1. \(90^\circ\)
2. \(45^\circ\)
3. \(30^\circ\)
4. \(60^\circ\)
Subtopic: Prisms |
72%
Level 2: 60%+
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An point sized object is placed 4 cm from the double convex lens of focal length 8 cm. The change in the position of image, when the object is moved 2 cm towards the lens, is
1. \(8 ~cm\)
2. \({8\over 3} ~cm\)
3. \({16\over 3} ~cm\)
4. \({32\over 3} ~cm\)
1. \(8 ~cm\)
2. \({8\over 3} ~cm\)
3. \({16\over 3} ~cm\)
4. \({32\over 3} ~cm\)
Subtopic: Refraction at Curved Surface |
78%
Level 2: 60%+
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An object is placed in front of a plane mirror \(12\text{ cm}\) away from it. The object is kept fixed while the plane mirror is shifted towards the object by a distance of \(4\text{ cm}.\) The length of shift in the position of images is equal to:
1. \(5\text{ cm}\)
2. \(3\text{ cm}\)
3. \(6\text{ cm}\)
4. \(8\text{ cm}\)
1. \(5\text{ cm}\)
2. \(3\text{ cm}\)
3. \(6\text{ cm}\)
4. \(8\text{ cm}\)
Subtopic: Reflection at Plane Surface |
86%
Level 1: 80%+
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A ray undergoes refraction at boundary of a medium such that incident angle is 45° while refraction angel is 30°. Wavelength and frequency of incident ray are \(\lambda_{1}\) and \(v_{1}\) while for refracted ray are \(\lambda_{2}\) and \(v_{2}\), then
1. \(\lambda_{1}=\lambda_{2},v_{1}={{v_{2}}\over{\sqrt{2}}}\)
2,. \(\lambda_{1}=\lambda_{2},v_{2}=2v_{1}\)
3. \(\lambda_{1}=\sqrt{2}\lambda_{2},v_{1}=v_{2}\)
4. \(\lambda_{1}={{\lambda_{2}}\over{\sqrt{2}}},v_{1}=v_{2}\)
1. \(\lambda_{1}=\lambda_{2},v_{1}={{v_{2}}\over{\sqrt{2}}}\)
2,. \(\lambda_{1}=\lambda_{2},v_{2}=2v_{1}\)
3. \(\lambda_{1}=\sqrt{2}\lambda_{2},v_{1}=v_{2}\)
4. \(\lambda_{1}={{\lambda_{2}}\over{\sqrt{2}}},v_{1}=v_{2}\)
Subtopic: Refraction at Plane Surface |
79%
Level 2: 60%+
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A point object \((O)\) is placed on the principal axis of a system of two lenses as shown. The distance between the final image and object is:
1. 45 cm
2. 40 cm
3. 55 cm
4. 50 cm
1. 45 cm
2. 40 cm
3. 55 cm
4. 50 cm
Subtopic: Lenses |
78%
Level 2: 60%+
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