Refraction through a Glass Slab, and Total Internal Reflection
Ray Optics

282227 When a ray of light is refracted from one medium to another, then the wavelength changes from \(6000 \AA\) to \(4000 \AA\). The critical angle for the interface will be

1 \(\sin ^{-1}\left(\frac{2}{3}\right)\)
2 \(\sin ^{-1}\left(\frac{2}{\sqrt{3}}\right)\)
3 \(\cos ^{-1}\left(\frac{2}{3}\right)\)
4 \(\cos ^{-1}\left(\frac{2}{\sqrt{3}}\right)\)
Ray Optics

282228 A monochromatic ray of light travels through glass slab and water column. The number of waves in glass slab of thickness \(4 \mathrm{~cm}\) is the same as in water column of height \(5 \mathrm{~cm}\). If refractive index of glass is \(5 / 3\), then refractive index of water is

1 1.63
2 1.4
3 1.3
4 1.5
Ray Optics

282229 Light travels from an optically denser medium ' \(A\) ' into the optically rarer medium ' \(B\) ' with speeds \(1.8 \times 10^8 \mathrm{~m} / \mathrm{s}\) and \(2.7 \times 10^8 \mathrm{~m} / \mathrm{s}\) respectively. Then critical angle between them is \(\left(\mu_1\right.\) and \(\mu_2\) are the refractive indices of media \(A\) and \(B\) respectively.)

1 \(\tan ^{-1}\left(\frac{2}{3}\right)\)
2 \(\sin ^{-1}\left(\frac{3}{4}\right)\)
3 \(\sin ^{-1}\left(\frac{2}{3}\right)\)
4 \(\tan ^{-1}\left(\frac{3}{4}\right)\)
Ray Optics

282230 The critical angle for total internal reflection for going from a medium 1 to medium 2 is \(\boldsymbol{\theta}\). If the speed of light in medium 1 is \(v\), then the speed of light in medium 2 is

1 \(\mathrm{v}(1-\cos \theta)\)
2 \(\frac{\mathrm{v}}{\sin \theta}\)
3 \(\mathrm{v} \cos \theta\)
4 \(\mathrm{v} \sin \theta\)
Ray Optics

282231 The velocity of light in a medium is half its velocity in air. If ray of light emerges from such a medium into air, the angle of incidence, at which it will be totally internally reflected, is:

1 \(15^{\circ}\)
2 \(30^{\circ}\)
3 \(45^{\circ}\)
4 \(60^{\circ}\)
Ray Optics

282227 When a ray of light is refracted from one medium to another, then the wavelength changes from \(6000 \AA\) to \(4000 \AA\). The critical angle for the interface will be

1 \(\sin ^{-1}\left(\frac{2}{3}\right)\)
2 \(\sin ^{-1}\left(\frac{2}{\sqrt{3}}\right)\)
3 \(\cos ^{-1}\left(\frac{2}{3}\right)\)
4 \(\cos ^{-1}\left(\frac{2}{\sqrt{3}}\right)\)
Ray Optics

282228 A monochromatic ray of light travels through glass slab and water column. The number of waves in glass slab of thickness \(4 \mathrm{~cm}\) is the same as in water column of height \(5 \mathrm{~cm}\). If refractive index of glass is \(5 / 3\), then refractive index of water is

1 1.63
2 1.4
3 1.3
4 1.5
Ray Optics

282229 Light travels from an optically denser medium ' \(A\) ' into the optically rarer medium ' \(B\) ' with speeds \(1.8 \times 10^8 \mathrm{~m} / \mathrm{s}\) and \(2.7 \times 10^8 \mathrm{~m} / \mathrm{s}\) respectively. Then critical angle between them is \(\left(\mu_1\right.\) and \(\mu_2\) are the refractive indices of media \(A\) and \(B\) respectively.)

1 \(\tan ^{-1}\left(\frac{2}{3}\right)\)
2 \(\sin ^{-1}\left(\frac{3}{4}\right)\)
3 \(\sin ^{-1}\left(\frac{2}{3}\right)\)
4 \(\tan ^{-1}\left(\frac{3}{4}\right)\)
Ray Optics

282230 The critical angle for total internal reflection for going from a medium 1 to medium 2 is \(\boldsymbol{\theta}\). If the speed of light in medium 1 is \(v\), then the speed of light in medium 2 is

1 \(\mathrm{v}(1-\cos \theta)\)
2 \(\frac{\mathrm{v}}{\sin \theta}\)
3 \(\mathrm{v} \cos \theta\)
4 \(\mathrm{v} \sin \theta\)
Ray Optics

282231 The velocity of light in a medium is half its velocity in air. If ray of light emerges from such a medium into air, the angle of incidence, at which it will be totally internally reflected, is:

1 \(15^{\circ}\)
2 \(30^{\circ}\)
3 \(45^{\circ}\)
4 \(60^{\circ}\)
Ray Optics

282227 When a ray of light is refracted from one medium to another, then the wavelength changes from \(6000 \AA\) to \(4000 \AA\). The critical angle for the interface will be

1 \(\sin ^{-1}\left(\frac{2}{3}\right)\)
2 \(\sin ^{-1}\left(\frac{2}{\sqrt{3}}\right)\)
3 \(\cos ^{-1}\left(\frac{2}{3}\right)\)
4 \(\cos ^{-1}\left(\frac{2}{\sqrt{3}}\right)\)
Ray Optics

282228 A monochromatic ray of light travels through glass slab and water column. The number of waves in glass slab of thickness \(4 \mathrm{~cm}\) is the same as in water column of height \(5 \mathrm{~cm}\). If refractive index of glass is \(5 / 3\), then refractive index of water is

1 1.63
2 1.4
3 1.3
4 1.5
Ray Optics

282229 Light travels from an optically denser medium ' \(A\) ' into the optically rarer medium ' \(B\) ' with speeds \(1.8 \times 10^8 \mathrm{~m} / \mathrm{s}\) and \(2.7 \times 10^8 \mathrm{~m} / \mathrm{s}\) respectively. Then critical angle between them is \(\left(\mu_1\right.\) and \(\mu_2\) are the refractive indices of media \(A\) and \(B\) respectively.)

1 \(\tan ^{-1}\left(\frac{2}{3}\right)\)
2 \(\sin ^{-1}\left(\frac{3}{4}\right)\)
3 \(\sin ^{-1}\left(\frac{2}{3}\right)\)
4 \(\tan ^{-1}\left(\frac{3}{4}\right)\)
Ray Optics

282230 The critical angle for total internal reflection for going from a medium 1 to medium 2 is \(\boldsymbol{\theta}\). If the speed of light in medium 1 is \(v\), then the speed of light in medium 2 is

1 \(\mathrm{v}(1-\cos \theta)\)
2 \(\frac{\mathrm{v}}{\sin \theta}\)
3 \(\mathrm{v} \cos \theta\)
4 \(\mathrm{v} \sin \theta\)
Ray Optics

282231 The velocity of light in a medium is half its velocity in air. If ray of light emerges from such a medium into air, the angle of incidence, at which it will be totally internally reflected, is:

1 \(15^{\circ}\)
2 \(30^{\circ}\)
3 \(45^{\circ}\)
4 \(60^{\circ}\)
Ray Optics

282227 When a ray of light is refracted from one medium to another, then the wavelength changes from \(6000 \AA\) to \(4000 \AA\). The critical angle for the interface will be

1 \(\sin ^{-1}\left(\frac{2}{3}\right)\)
2 \(\sin ^{-1}\left(\frac{2}{\sqrt{3}}\right)\)
3 \(\cos ^{-1}\left(\frac{2}{3}\right)\)
4 \(\cos ^{-1}\left(\frac{2}{\sqrt{3}}\right)\)
Ray Optics

282228 A monochromatic ray of light travels through glass slab and water column. The number of waves in glass slab of thickness \(4 \mathrm{~cm}\) is the same as in water column of height \(5 \mathrm{~cm}\). If refractive index of glass is \(5 / 3\), then refractive index of water is

1 1.63
2 1.4
3 1.3
4 1.5
Ray Optics

282229 Light travels from an optically denser medium ' \(A\) ' into the optically rarer medium ' \(B\) ' with speeds \(1.8 \times 10^8 \mathrm{~m} / \mathrm{s}\) and \(2.7 \times 10^8 \mathrm{~m} / \mathrm{s}\) respectively. Then critical angle between them is \(\left(\mu_1\right.\) and \(\mu_2\) are the refractive indices of media \(A\) and \(B\) respectively.)

1 \(\tan ^{-1}\left(\frac{2}{3}\right)\)
2 \(\sin ^{-1}\left(\frac{3}{4}\right)\)
3 \(\sin ^{-1}\left(\frac{2}{3}\right)\)
4 \(\tan ^{-1}\left(\frac{3}{4}\right)\)
Ray Optics

282230 The critical angle for total internal reflection for going from a medium 1 to medium 2 is \(\boldsymbol{\theta}\). If the speed of light in medium 1 is \(v\), then the speed of light in medium 2 is

1 \(\mathrm{v}(1-\cos \theta)\)
2 \(\frac{\mathrm{v}}{\sin \theta}\)
3 \(\mathrm{v} \cos \theta\)
4 \(\mathrm{v} \sin \theta\)
Ray Optics

282231 The velocity of light in a medium is half its velocity in air. If ray of light emerges from such a medium into air, the angle of incidence, at which it will be totally internally reflected, is:

1 \(15^{\circ}\)
2 \(30^{\circ}\)
3 \(45^{\circ}\)
4 \(60^{\circ}\)
Ray Optics

282227 When a ray of light is refracted from one medium to another, then the wavelength changes from \(6000 \AA\) to \(4000 \AA\). The critical angle for the interface will be

1 \(\sin ^{-1}\left(\frac{2}{3}\right)\)
2 \(\sin ^{-1}\left(\frac{2}{\sqrt{3}}\right)\)
3 \(\cos ^{-1}\left(\frac{2}{3}\right)\)
4 \(\cos ^{-1}\left(\frac{2}{\sqrt{3}}\right)\)
Ray Optics

282228 A monochromatic ray of light travels through glass slab and water column. The number of waves in glass slab of thickness \(4 \mathrm{~cm}\) is the same as in water column of height \(5 \mathrm{~cm}\). If refractive index of glass is \(5 / 3\), then refractive index of water is

1 1.63
2 1.4
3 1.3
4 1.5
Ray Optics

282229 Light travels from an optically denser medium ' \(A\) ' into the optically rarer medium ' \(B\) ' with speeds \(1.8 \times 10^8 \mathrm{~m} / \mathrm{s}\) and \(2.7 \times 10^8 \mathrm{~m} / \mathrm{s}\) respectively. Then critical angle between them is \(\left(\mu_1\right.\) and \(\mu_2\) are the refractive indices of media \(A\) and \(B\) respectively.)

1 \(\tan ^{-1}\left(\frac{2}{3}\right)\)
2 \(\sin ^{-1}\left(\frac{3}{4}\right)\)
3 \(\sin ^{-1}\left(\frac{2}{3}\right)\)
4 \(\tan ^{-1}\left(\frac{3}{4}\right)\)
Ray Optics

282230 The critical angle for total internal reflection for going from a medium 1 to medium 2 is \(\boldsymbol{\theta}\). If the speed of light in medium 1 is \(v\), then the speed of light in medium 2 is

1 \(\mathrm{v}(1-\cos \theta)\)
2 \(\frac{\mathrm{v}}{\sin \theta}\)
3 \(\mathrm{v} \cos \theta\)
4 \(\mathrm{v} \sin \theta\)
Ray Optics

282231 The velocity of light in a medium is half its velocity in air. If ray of light emerges from such a medium into air, the angle of incidence, at which it will be totally internally reflected, is:

1 \(15^{\circ}\)
2 \(30^{\circ}\)
3 \(45^{\circ}\)
4 \(60^{\circ}\)