Light travels a distance \(x\) in time \(t_1\) in air and \(10x\) in time \(t_2\) in another denser medium. What is the critical angle for this medium?
1. \(\sin ^{-1}\left(\dfrac{10 t_1}{t_2}\right) \)
2. \(\sin ^{-1}\left(\dfrac{ t_2}{t_1}\right) \)
3. \(\sin ^{-1}\left(\dfrac{10 t_2}{t_1}\right) \)
4. \(\sin ^{-1}\left(\dfrac{ t_1}{10t_2}\right) \)
Subtopic:  Total Internal Reflection |
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Which set of colors will come out in air for a situation shown in figure?
1. Yellow, Orange and Red
2. Blue, Green and Yellow
3. Orange, Red and Violet
4. All
Subtopic:  Total Internal Reflection |
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Two transparent media \(\mathrm{A}\) and \(\mathrm{B}\) are separated by a plane boundary. The speed of light in those media are \(1.5\times 10^{8} \) m/s and \(2.0\times 10^{8} \) m/s, respectively. The critical angle for a ray of light for these two media is:
1. \(\mathrm{tan^{-1}}\)(\(0.750\)) 2. \(\mathrm{sin^{-1}}\)(\(0.500\))
3. \(\mathrm{sin^{-1}}\)(\(0.750\)) 4. \(\mathrm{tan^{-1}}\)(\(0.500\))
Subtopic:  Total Internal Reflection |
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During a cloudy day, a primary and a secondary rainbow may be created. Which of the following statement is correct?
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.
Subtopic:  Total Internal Reflection |
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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. \(3\times10^{8}~\text{m/s}\)

Subtopic:  Total Internal Reflection |
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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.
Subtopic:  Total Internal Reflection |
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In total internal reflection when the angle of incidence is equal to the critical angle for the pair of media in contact, what will be the angle of refraction?
1. \(90^{\circ}\)
2. \(180^{\circ}\)
3. \(0^{\circ}\)
4. equal to the angle of incidence
Subtopic:  Total Internal Reflection |
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Which of the following is not due to total internal reflection?
 
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
Subtopic:  Total Internal Reflection |
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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. \(\mu = 1.25\)

Subtopic:  Total Internal Reflection |
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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 \(\text{sin}^{-1}\left (\frac{2}{3} \right )\)

Subtopic:  Total Internal Reflection |
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