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

282253 A light ray falls on a rectangular glass slab as shown. The index of refraction of the glass, if total internal reflection is to occur at the vertical face, is

1 \(\sqrt{3 / 2}\)
2 \(\frac{(\sqrt{3}+1)}{2}\)
3 \(\frac{(\sqrt{2}+1)}{2}\)
4 \(\sqrt{5} / 2\)
Ray Optics

282254 An optical illusion which occurs mainly in deserts during hot summer is based on the principle of

1 Reflection
2 Interference
3 Dispersion
4 Total internal reflection
Ray Optics

282255 The critical angle for glass is \(41^{\circ} 48^{\prime}\) and that for water is \(48^{\circ} 36^{\prime}\). Calculate the critical angle for glass-water interface.

1 \(62^{\circ} 43^{\prime}\)
2 \(34^{\circ} 42^{\prime}\)
3 \(52^{\circ} 42^{\prime}\)
4 \(44^{\circ} 42^{\prime}\)
Ray Optics

282256 A beam of light from a source \(L\) is incident normally on a plane mirror mixed at a certain distance \(x\) from the source. The beam is reflected back as a spot on a scale placed just above the source \(L\). When the mirror is rotated through a small angle \(\theta\), the spot of the light is found to move through a distance \(y\) on the scale. The angle \(\theta\) is given by

1 \(\frac{y}{2 x}\)
2 \(\frac{y}{x}\)
3 \(\frac{x}{2 y}\)
4 \(\frac{x}{y}\)
Ray Optics

282253 A light ray falls on a rectangular glass slab as shown. The index of refraction of the glass, if total internal reflection is to occur at the vertical face, is

1 \(\sqrt{3 / 2}\)
2 \(\frac{(\sqrt{3}+1)}{2}\)
3 \(\frac{(\sqrt{2}+1)}{2}\)
4 \(\sqrt{5} / 2\)
Ray Optics

282254 An optical illusion which occurs mainly in deserts during hot summer is based on the principle of

1 Reflection
2 Interference
3 Dispersion
4 Total internal reflection
Ray Optics

282255 The critical angle for glass is \(41^{\circ} 48^{\prime}\) and that for water is \(48^{\circ} 36^{\prime}\). Calculate the critical angle for glass-water interface.

1 \(62^{\circ} 43^{\prime}\)
2 \(34^{\circ} 42^{\prime}\)
3 \(52^{\circ} 42^{\prime}\)
4 \(44^{\circ} 42^{\prime}\)
Ray Optics

282256 A beam of light from a source \(L\) is incident normally on a plane mirror mixed at a certain distance \(x\) from the source. The beam is reflected back as a spot on a scale placed just above the source \(L\). When the mirror is rotated through a small angle \(\theta\), the spot of the light is found to move through a distance \(y\) on the scale. The angle \(\theta\) is given by

1 \(\frac{y}{2 x}\)
2 \(\frac{y}{x}\)
3 \(\frac{x}{2 y}\)
4 \(\frac{x}{y}\)
Ray Optics

282253 A light ray falls on a rectangular glass slab as shown. The index of refraction of the glass, if total internal reflection is to occur at the vertical face, is

1 \(\sqrt{3 / 2}\)
2 \(\frac{(\sqrt{3}+1)}{2}\)
3 \(\frac{(\sqrt{2}+1)}{2}\)
4 \(\sqrt{5} / 2\)
Ray Optics

282254 An optical illusion which occurs mainly in deserts during hot summer is based on the principle of

1 Reflection
2 Interference
3 Dispersion
4 Total internal reflection
Ray Optics

282255 The critical angle for glass is \(41^{\circ} 48^{\prime}\) and that for water is \(48^{\circ} 36^{\prime}\). Calculate the critical angle for glass-water interface.

1 \(62^{\circ} 43^{\prime}\)
2 \(34^{\circ} 42^{\prime}\)
3 \(52^{\circ} 42^{\prime}\)
4 \(44^{\circ} 42^{\prime}\)
Ray Optics

282256 A beam of light from a source \(L\) is incident normally on a plane mirror mixed at a certain distance \(x\) from the source. The beam is reflected back as a spot on a scale placed just above the source \(L\). When the mirror is rotated through a small angle \(\theta\), the spot of the light is found to move through a distance \(y\) on the scale. The angle \(\theta\) is given by

1 \(\frac{y}{2 x}\)
2 \(\frac{y}{x}\)
3 \(\frac{x}{2 y}\)
4 \(\frac{x}{y}\)
Ray Optics

282253 A light ray falls on a rectangular glass slab as shown. The index of refraction of the glass, if total internal reflection is to occur at the vertical face, is

1 \(\sqrt{3 / 2}\)
2 \(\frac{(\sqrt{3}+1)}{2}\)
3 \(\frac{(\sqrt{2}+1)}{2}\)
4 \(\sqrt{5} / 2\)
Ray Optics

282254 An optical illusion which occurs mainly in deserts during hot summer is based on the principle of

1 Reflection
2 Interference
3 Dispersion
4 Total internal reflection
Ray Optics

282255 The critical angle for glass is \(41^{\circ} 48^{\prime}\) and that for water is \(48^{\circ} 36^{\prime}\). Calculate the critical angle for glass-water interface.

1 \(62^{\circ} 43^{\prime}\)
2 \(34^{\circ} 42^{\prime}\)
3 \(52^{\circ} 42^{\prime}\)
4 \(44^{\circ} 42^{\prime}\)
Ray Optics

282256 A beam of light from a source \(L\) is incident normally on a plane mirror mixed at a certain distance \(x\) from the source. The beam is reflected back as a spot on a scale placed just above the source \(L\). When the mirror is rotated through a small angle \(\theta\), the spot of the light is found to move through a distance \(y\) on the scale. The angle \(\theta\) is given by

1 \(\frac{y}{2 x}\)
2 \(\frac{y}{x}\)
3 \(\frac{x}{2 y}\)
4 \(\frac{x}{y}\)
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