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Q. No.Light travels a distance \(x\) in time \(t_1\) in air and \(10x\) in time \(t_2\) in another denser medium. What is the critical angle for this medium?
| 1. | \(\sin ^{-1}\left(\frac{10 t_1}{t_2}\right) \) | 2. | \(\sin ^{-1}\left(\frac{ t_2}{t_1}\right) \) |
| 3. | \(\sin ^{-1}\left(\frac{10 t_2}{t_1}\right) \) | 4. | \(\sin ^{-1}\left(\frac{ t_1}{10t_2}\right) \) |
Subtopic: Total Internal Reflection |
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Level 2: 60%+
NEET - 2023
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In the figure shown here, what is the equivalent focal length of the combination of lenses?
(Assume that all layers are thin)
(Assume that all layers are thin)
| 1. | \(-50~\text{cm}\) | 2. | \(40~\text{cm}\) |
| 3. | \(-40~\text{cm}\) | 4. | \(-100~\text{cm}\) |
Subtopic: Lens Makers' Formula |
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Two thin lenses are of the same focal lengths \((f),\) but one is convex and the other one is concave. When they are placed in contact with each other, the equivalent focal length of the combination will be:
1. infinite
2. zero
3. \(f/4\)
4. \(f/2\)
1. infinite
2. zero
3. \(f/4\)
4. \(f/2\)
Subtopic: Lenses |
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A lens is made up of \(3\) different transparent media as shown in the figure. A point object \(O\) is placed on its axis beyond \(2f\). How many real images will be obtained on the other side?
| 1. | \(2\) | 2. | \(1\) |
| 3. | No image will be formed | 4. | \(3\) |
Subtopic: Lenses |
69%
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A horizontal ray of light is incident on the right-angled prism with prism angle \(6^\circ.\) If the refractive index of the material of the prism is \(1.5,\) then the angle of emergence will be:
| 1. | \(9^\circ\) | 2. | \(10^\circ\) |
| 3. | \(4^\circ\) | 4. | \(6^\circ\) |
Subtopic: Prisms |
64%
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Which set of colours would be observed in the air under the conditions depicted in the figure?
| 1. | yellow, orange, and red | 2. | blue, green, and yellow |
| 3. | orange, red, and violet | 4. | all of the above |
Subtopic: Total Internal Reflection |
77%
Level 2: 60%+
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An object is mounted on a wall. Its image of equal size is to be obtained on a parallel wall with the help of a convex lens placed between these walls. The lens is kept at distance \(x\) in front of the second wall. The required focal length of the lens will be:
| 1. | less than \(\dfrac x4\) |
| 2. | more than \(\dfrac x4\) but less than \(\dfrac x2\) |
| 3. | \(\dfrac x2\) |
| 4. | \(\dfrac x4\) |
Subtopic: Refraction at Curved Surface |
65%
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A biconvex lens has radii of curvature, \(20~\text{cm}\) each. If the refractive index of the material of the lens is \(1.5,\) the power of the lens is:
| 1. | infinity | 2. | \(+2~\text{D}\) |
| 3. | \(+20 ~\text{D}\) | 4. | \(+5~\text{D}\) |
Subtopic: Lenses |
73%
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Two transparent media \({A}\) and \({B}\) are separated by a plane boundary. The speeds of light in those media are \(1.5\times 10^{8} \) m/s and \(2.0\times 10^{8} \) m/s, respectively. The critical angle for a ray of light for these two media is:
| 1. | \(\text{tan}^{-1}(0.750)\) | 2. | \(\text{sin}^{-1}(0.500)\) |
| 3. | \(\text{sin}^{-1}(0.750)\) | 4. | \(\text{tan}^{-1}(0.500)\) |
Subtopic: Total Internal Reflection |
80%
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A concave lens with a focal length of \(-25~\text{cm}\) is sandwiched between two convex lenses, each with a focal length of \(40~\text{cm}.\) The power (in diopters) of the combined lens system would be:
| 1. | \(55\) | 2. | \(9\) |
| 3. | \(1\) | 4. | \(0.01\) |
Subtopic: Lenses |
69%
Level 2: 60%+
NEET - 2022
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