For the given incident ray as shown in the figure, in the condition of the total internal reflection of this ray, the minimum refractive index of the prism will be:
1. | \(\dfrac{\sqrt{3} + 1}{2}\) | 2. | \(\dfrac{\sqrt{2} + 1}{2}\) |
3. | \(\sqrt{\dfrac{3}{2}}\) | 4. | \(\sqrt{\dfrac{7}{6}}\) |
1. | \(f' = f,f'' =2f\) | 2. | \(f' = 2f, f''=f\) |
3. | \(f' =f, f''=f\) | 4. | \(f'=2f, f''=2f\) |
The refractive index of the material of a prism is and its refracting angle is \(30^{\circ}\). One of the refracting surfaces of the prism is made a mirror inwards. A beam of monochromatic light entering the prism from the other face will retrace its path after reflection from the mirrored surface if its angle of incidence on the prism is:
1. | \(60^{\circ}\) | 2. | \(0^{\circ}\) |
3. | \(30^{\circ}\) | 4. | \(45^{\circ}\) |
A tall man, of height \(6\) feet, wants to see his full image. The required minimum length of the mirror will be:
1. | \(12\) feet | 2. | \(3\) feet |
3. | \(6\) feet | 4. | Any length |
Light enters at an angle of incidence in a transparent rod of refractive index \(n\). For what value of the refractive index of the material of the rod, will the light, once entered into it, not leave it through its lateral face whatsoever be the value of the angle of incidence?
1. | \(n>\sqrt{2}\) | 2. | \(1.0\) |
3. | \(1.3\) | 4. | \(1.4\) |
A rainbow is formed due to:
1. | Scattering & refraction |
2. | Total internal reflection & dispersion |
3. | Reflection only |
4. | Diffraction and dispersion |
1. | \(10\) cm | 2. | \(15\) cm |
3. | \(20\) cm | 4. | \(30\) cm |
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. | \(8\) | 2. | \(10\) |
3. | \(12\) | 4. | \(16\) |
Choose the correct mirror image of the figure:
1. | ![]() |
2. | ![]() |
3. | ![]() |
4. | ![]() |