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. | \( \sqrt{3}\) |
A liquid of refractive index \(1.33\) is placed between two identical plano-convex lenses, with refractive index \(1.50\). Two possible arrangements, \(P\) and \(Q\), are shown. The system is:

| 1. | divergent in \(P\), convergent in \(Q\) | 2. | convergent in \(P\), divergent in \(Q\) |
| 3. | convergent in both | 4. | divergent in both |
To increase the magnifying power of a telescope:
| 1. | The focal length of the eyepiece should be increased. |
| 2. | The focal length of the objective should be increased. |
| 3. | The wavelength of light should be increased. |
| 4. | The aperture of the eyepiece should be increased. |
| 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. | smaller in size. |
| 2. | inverted. |
| 3. | between the focus and centre of curvature. |
| 4. | All of the above. |
| 1. | \(53^{\circ}\) | 2. | \(37^{\circ}\) |
| 3. | \(45^{\circ}\) | 4. | \(60^{\circ}\) |
| 1. | \(45\) cm | 2. | \(30\) cm |
| 3. | \(15\) cm | 4. | \(25\) cm |
| 1. | \(X+Y\) | 2. | \(\dfrac{X +Y}{2}\) |
| 3. | \(X-Y\) | 4. | \(\dfrac{X -Y}{2}\) |
A plane mirror is placed at the bottom of a fish tank filled with water of refractive index \(\dfrac{4}{3}.\) The fish is at a height \(10~\text{cm}\) above the plane mirror. An observer \(O\) is vertically above the fish outside the water. The apparent distance between the fish and its image is:

| 1. | \(15\text{cm}\) | 2. | \(30~\text{cm}\) |
| 3. | \(35~\text{cm}\) | 4. | \(45~\text{cm}\) |