Two similar plano-convex lenses are combined together in three different ways as shown in the adjoining figure. The ratio of the focal lengths in three cases will be:
1. \(2:2:1\)
2. \(1:1:1\)
3. \(1:2:2\)
4. \(2:1:1\)
1. | \(8\) cm inside the sphere | 2. | \(12\) cm inside the sphere |
3. | \(4\) cm inside the sphere | 4. | \(3\) cm inside the sphere |
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. | \( \sqrt{3}\) |
On an optical bench a point object is placed at the mark of \(10\) cm, a convex lens of focal length \(15\) cm at the mark of \(40\) cm and a concave lens of focal length \(15\) cm placed at the mark of \(60\) cm. The final image is formed at the mark of: (point object and two lenses are coaxial)
1. \(30\) cm
2. \(80\) cm
3. \(90\) cm
4. infinity
1. | \(207\) cm | 2. | \(210\) cm |
3. | \(204\) cm | 4. | \(220\) cm |
The diameter of the eye-ball of a normal eye is about 2.5 cm. The power of the eye lens varies from:
1. 2 D to 10 D
2. 40 D to 32 D
3. 9 D to 8 D
4. 44 D to 40 D
An object is placed at a point distance \(x\) from the focus of a convex lens and its image is formed at \(I\) as shown in the figure. The distances \(x\) and \(x'\) satisfy the relation:
1. \(\frac{x+x'}{2} = f\)
2. \(f = xx'\)
3. \(x+x' \le 2f\)
4. \(x+x' \ge 2f\)
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. | \(\theta = 24\frac{1}{2}^{\circ}\) |
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. |