In the figure shown the angle made by the light ray with the normal in the medium of refractive index \(\sqrt{2}\) is:

1. \(30^{\circ}\)
2. \(60^{\circ}\)
3. \(90^{\circ}\)
4. None of these
A fish is a little away below the surface of a lake. If the critical angle is \(49^{\circ},\) then the fish could see things above the water surface within an angular range of \(\theta^{\circ}\) where:
| 1. | \(\theta = 49^{\circ}\) | 2. | \(\theta = 90^{\circ}\) |
| 3. | \(\theta = 98^{\circ}\) | 4. | \(\theta = 24\frac{1}{2}^{\circ}\) |

| 1. | \(1.8 \times 10^8 ~\text{m/s}\) | 2. | \(2.4 \times 10^8~\text{m/s}\) |
| 3. | \(3.0 \times 10^8~\text{m/s}\) | 4. | \(1.2 \times 10^8~\text{m/s}\) |
| Column-I | Column-II | ||
| A. | \(m= -2\) | I. | convex mirror |
| B. | \(m= -\frac{1}{2}\) | II. | concave mirror |
| C. | \(m= +2\) | III. | real Image |
| D. | \(m= +\frac{1}{2}\) | IV. | virtual Image |
| A | B | C | D | |
| 1. | I & III | I & IV | I & II | III & IV |
| 2. | I & IV | II & III | II & IV | II & III |
| 3. | III & IV | II & IV | II & III | I & IV |
| 4. | II & III | II & III | II & IV | I & IV |
| 1. | \(46.0\text{cm}\) | 2. | \(50.0\text{cm}\) |
| 3. | \(54.0\text{cm}\) | 4. | \(37.3\text{cm}\) |
| 1. | \(8~\text{cm}\) inside the sphere | 2. | \(12~\text{cm}\) inside the sphere |
| 3. | \(4~\text{cm}\) inside the sphere | 4. | \(3~\text{cm}\) inside the sphere |
A ray of light falls on a prism \(ABC\) \((AB= BC)\) and travels as shown in figure. The refractive index of the prism material should be greater than:

| 1. | \(4 /{3}\) | 2. | \( \sqrt{2}\) |
| 3. | \(1.5\) | 4. | \( \sqrt{3}\) |
| 1. | \(80~\text{cm}\) | 2. | \(40~\text{cm}\) |
| 3. | \(60~\text{cm}\) | 4. | \(20~\text{cm}\) |
| 1. | \(f' = f\) |
| 2. | \(f'<f\) |
| 3. | \(f'>f\) |
| 4. | The information is insufficient to predict |
| 1. | \(X+Y\) | 2. | \(\dfrac{X +Y}{2}\) |
| 3. | \(X-Y\) | 4. | \(\dfrac{X -Y}{2}\) |