1. | \(\sin ^{-1}\left(\frac{10 t_1}{t_2}\right) \) | 2. | \(\sin ^{-1}\left(\frac{ t_2}{t_1}\right) \) |
3. | \(\sin ^{-1}\left(\frac{10 t_2}{t_1}\right) \) | 4. | \(\sin ^{-1}\left(\frac{ t_1}{10t_2}\right) \) |
1. | yellow, orange, and red |
2. | blue, green, and yellow |
3. | orange, red, and violet |
4. | all of the above |
1. | \(\text{tan}^{-1}(0.750)\) | 2. | \(\text{sin}^{-1}(0.500)\) |
3. | \(\text{sin}^{-1}(0.750)\) | 4. | \(\text{tan}^{-1}(0.500)\) |
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. | the scattering of light. |
2. | the polarisation of light. |
3. | the colour of the sun. |
4. | the colour of the sky. |