A glass slab is placed with the right-angled prism as shown in the figure. The possible value of \(\theta\) such that light incident normally on the prism does not pass through the glass slab is:
1. | \(30^\circ\) | 2. | \(37^\circ\) |
3. | \(45^\circ\) | 4. | Both (1) & (2) |
A graph is plotted between the angle of deviation \(\delta\) in a triangular prism and the angle of incidence as shown in the figure. Refracting angle of the prism is:
1. | \(28^\circ~\) | 2. | \(48^\circ~\) |
3. | \(36^\circ~\) | 4. | \(46^\circ~\) |
Three identical thin convex lenses are kept as shown in the figure. A ray passing through the lens is shown. The focal length of each lens is:
1. | 5 cm | 2. | 10 cm |
3. | 15 cm | 4. | 20 cm |
The following diagram shows a glass sphere of radius \(10~\mathrm{cm}\) with a paraxial incident ray. The refractive index of the material of the glass is:
1. 2
2. 1.5
3. 1.75
4. 1.3
An astronomical telescope has angular magnification of 20 in its normal adjustment. Focal length of eyepiece is 4 cm. Distance between objective and eyepiece is:
1. 80 cm
2. 84 cm
3. 76 cm
4. 90 cm
If the space between two convex lenses of glass in the combination shown in the figure below is filled with water, then:
1. | the focal length of the system will decrease. |
2. | the focal length of the system will increase. |
3. | the power of the system will increase. |
4. | the power of the system will become infinite. |
Focal lengths of objective and eyepiece of a compound microscope are 2 cm and 6.25 cm respectively. An object AB is placed at a distance of 2.5 cm from the objective which forms the image A'B' as shown in the figure. Maximum magnifying power in this case, will be:
1. | 10 | 2. | 20 |
3. | 5 | 4. | 25 |
A concave lens of focal length 25 cm produces an image the size of the object. The distance of the object from the lens is:
1. 225 cm
2. 250 cm
3. 150 cm
4. 175 cm
A convex mirror of focal length \(f\) forms an image which is \(\frac{1}{n}\) times the length of the object. The distance of the object from the mirror is:
1. \((n-1)f\)
2. \(\left( \frac{n-1}{n} \right)f\)
3. \(\left( \frac{n+1}{n} \right)f\)
4. \((n+1)f\)
A mark on the surface of sphere (µ = 3/2) is viewed from a diametrically opposite position. It appears to be at a distance \(15~\mathrm{cm}\) from its actual position. The radius of sphere is:
1. 15 cm
2. 5 cm
3. 7.5 cm
4. 2.5 cm