1. | Yellow, Orange and Red |
2. | Blue, Green and Yellow |
3. | Orange, Red and Violet |
4. | All |
1. | \(\mathrm{tan^{-1}}\)(\(0.750\)) | 2. | \(\mathrm{sin^{-1}}\)(\(0.500\)) |
3. | \(\mathrm{sin^{-1}}\)(\(0.750\)) | 4. | \(\mathrm{tan^{-1}}\)(\(0.500\)) |
1. | primary rainbow is due to double internal reflection and is formed above the secondary one. |
2. | primary rainbow is due to double internal reflection and is formed below the secondary one. |
3. | secondary rainbow is due to double internal reflection and is formed above the primary one. |
4. | secondary rainbow is due to a single internal reflection and is formed above the primary one. |
If the critical angle for total internal reflection from a medium to vacuum is \(45^{\circ}\), the velocity of light in the medium is:
1. | \(1.5\times10^{8}~\text{m/s}\) | 2. | \(\dfrac{3}{\sqrt{2}}\times10^{8}~\text{m/s}\) |
3. | \(\sqrt{2}\times10^{8}~\text{m/s}\) | 4. | \(3\times10^{8}~\text{m/s}\) |
Pick the wrong statement in the context with a rainbow.
1. | Rainbow is a combined effect of dispersion, refraction, and reflection of sunlight. |
2. | When the light rays undergo two internal reflections in a water drop, a secondary rainbow is formed. |
3. | The order of colors is reversed in the secondary rainbow. |
4. | An observer can see a rainbow when his front is towards the sun. |
1. | \(90^{\circ}\) |
2. | \(180^{\circ}\) |
3. | \(0^{\circ}\) |
4. | equal to the angle of incidence |
1. | Difference between apparent and real depth of the pond |
2. | Mirage on hot summer days |
3. | Brilliance of the diamond |
4. | Working of optical fibre |
A ray of light travelling in a transparent medium of refractive index \(\mu\) falls on a surface separating the medium from the air at an angle of incidence of \(45^{\circ}\). For which of the following value of \(\mu\), the ray can undergo total internal reflection?
1. \(\mu = 1.33\)
2. \(\mu =1.40\)
3. \(\mu=1.50\)
4. \(\mu = 1.25\)
The speed of light in media \(M_1\) and \(M_2\) is \(1.5\times10^{8}\) m/s and \(2.0\times10^{8}\) m/s respectively. A ray of light enters from medium \(M_1\) and \(M_2\) at an incidence angle \(i.\) If the ray suffers total internal reflection, the value of \(i\) is:
1. | equal to or less than \(\text{sin}^{-1}\left (\frac{3}{5} \right )\) |
2. | equal to or greater than \(\text{sin}^{-1}\left (\frac{3}{4} \right )\) |
3. | less than \(\text{sin}^{-1}\left (\frac{2}{3} \right )\) |
4. | equal to \(\text{sin}^{-1}\left (\frac{2}{3} \right )\) |