| 1. | \(2\) | 2. | \(1\) |
| 3. | No image will be formed | 4. | \(3\) |
| 1. | \(9^\circ\) | 2. | \(10^\circ\) |
| 3. | \(4^\circ\) | 4. | \(6^\circ\) |
| 1. | yellow, orange, and red |
| 2. | blue, green, and yellow |
| 3. | orange, red, and violet |
| 4. | all of the above |
| 1. | less than \(\dfrac x4\) |
| 2. | more than \(\dfrac x4\) but less than \(\dfrac x2\) |
| 3. | \(\dfrac x2\) |
| 4. | \(\dfrac x4\) |
| 1. | \(-50~\text{cm}\) | 2. | \(40~\text{cm}\) |
| 3. | \(-40~\text{cm}\) | 4. | \(-100~\text{cm}\) |
| 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. | \(\sin ^{-1}\left(\frac{ t_1}{10t_2}\right) \) |
| (A) | the distance between the objective and the eyepiece is \(20.02\text{m}.\) |
| (B) | the magnification of the telescope is \(-1000\). |
| (C) | the image of the planet is erect and diminished. |
| (D) | the aperture of the eyepiece is smaller than that of the objective. |
| 1. | A, B, and C | 2. | B, C, and D |
| 3. | C, D, and A | 4. | A, B, and D |
| 1. | primary rainbow is due to double internal reflection and is formed above the secondary one. |
| 2. | primary rainbow is due to double internal reflection and is formed below the secondary one. |
| 3. | secondary rainbow is due to double internal reflection and is formed above the primary one. |
| 4. | secondary rainbow is due to a single internal reflection and is formed above the primary one. |
A beam of light is incident vertically on a glass slab of thickness \(1~\text{cm},\) and refractive index \(1.5.\) A fraction \(A\) is reflected from the front surface while another fraction \(B\) enters the slab and emerges after reflection from the back surface. The time delay between them is:
| 1. | \(10^{-10}~\text{s}\) | 2. | \(5\times 10^{-10}~\text{s}\) |
| 3. | \(10^{-11}~\text{s}\) | 4. | \(5\times 10^{-11}~\text{s}\) |