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 |
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. | \( \sqrt{3}\) |
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. | \(80\) cm | 2. | \(40\) cm |
3. | \(60\) cm | 4. | \(20\) 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. | \(\frac{X + Y}{2}\) |
3. | \(X-Y\) | 4. | \(\frac{X - Y}{2}\) |
A plane mirror is placed at the bottom of a fish tank filled with water of refractive index \(\frac{4}{3}.\) The fish is at a height \(10\) cm above the plane mirror. An observer \(O\) is vertically above the fish outside water. The apparent distance between the fish and its image is:
1. | \(15\) cm | 2. | \(30\) cm |
3. | \(35\) cm | 4. | \(45\) cm |