A mark on the surface of sphere \(\left(\mu= \frac{3}{2}\right)\) is viewed from a diametrically opposite position. It appears to be at a distance \(15~\text{cm}\) from its actual position. The radius of sphere is:
1. \(15\) cm
2. \(5\) cm
3. \(7.5\) cm
4. \(2.5\) cm
A light ray from the air is incident (as shown in the figure) at one end of glass fibre (refractive index \(\mu= 1.5\)) making an incidence angle of \(60^{\circ}\) on the lateral surface so that it undergoes a total internal reflection. How much time would it take to traverse the straight fibre of a length of \(1\) km?
1. \(3.33~\mu\text{s}\)
2. \(6.67~\mu\text{s}\)
3. \(5.77~\mu\text{s}\)
4. \(3.85~\mu\text{s}\)
Choose the correct mirror image of the figure:
1. | 2. | ||
3. | 4. |
If there had been one eye of a man, then:
1. | image of the object would have been inverted |
2. | visible region would have decreased |
3. | image would have not been seen in three dimensional |
4. | Both (2) and (3) |
The near point of a person is 50 cm and the far point is 1.5 m. The spectacles required for reading purposes and for seeing distant objects are respectively:
1. + 2D, \(-\frac{2}{3}~D\)
2. \(+\frac{2}{3}~D\), - 2 D
3. - 2 D, \(+\frac{2}{3}~D\)
4. \(-\frac{2}{3}~D\), + 2 D
An astronomical refracting telescope will have large angular magnification and high angular resolution when it has an objective lens of:
1. | Small focal length and large diameter |
2. | Large focal length and small diameter |
3. | Large focal length and large diameter |
4. | Small focal length and small diameter |
1. | \(8\) | 2. | \(10\) |
3. | \(12\) | 4. | \(16\) |
If the focal length of the objective lens is increased, then magnifying power of:
1. | microscope will increase but that of telescope decrease |
2. | microscope and telescope both will increase |
3. | microscope and telescope both will decrease |
4. | microscope will decrease but that of the telescope will increase |
1. | \(\mu A \) | 2. | \(\frac{\mu A}{2} \) |
3. | \(A / \mu \) | 4. | \(A / 2 \mu\) |
A concave mirror of the focal length \(f_1\) is placed at a distance of \(d\) from a convex lens of focal length \(f_2\). A beam of light coming from infinity and falling on this convex lens-concave mirror combination returns to infinity. The distance \(d\) must be equal to:
1. \(f_1 +f_2\)
2. \(-f_1 +f_2\)
3. \(2f_1 +f_2\)
3. \(-2f_1 +f_2\)