Dispersion, Cauchy's Theorem, Angular Dispersion, Dispersion Power
Ray Optics

282828 The refractive index of glass is \(\mathbf{1 . 5 2 0}\) for red light and 1.525 for blue light. Let \(D_1\) and \(D_2\) be angles of minimum deviation for red and blue light respectively in a prism of this glass, then,

1 \(\mathrm{D}_1<\mathrm{D}_2\)
2 \(\mathrm{D}_1=\mathrm{D}_2\)
3 \(D_1\) can be less than or greater than \(D_2\) depending upon the angle of prism
4 \(\mathrm{D}_1>\mathrm{D}_2\)
Ray Optics

282829 According to Rayleigh Scattering law

1 The light of only longer wavelengths is scattered more in earth's atmosphere.
2 Small - sized dust particles scatter preferentially smaller wavelengths of light.
3 The large size dust particles scatter only light of short wavelengths.
4 The light coming from sodium lamps show Rayleigh scattering very efficiently by large sized dust particles.
Ray Optics

282831 A medium with refractive index \(n(\omega)\), where \(\omega\) is the angular frequency, is said to possess anomalous dispersion when

1 \(\frac{\partial \mathrm{n}}{\partial \mathrm{w}}>0\)
2 \(\frac{\partial \mathrm{n}}{\partial \mathrm{w}}<0\)
3 \(\frac{\partial \mathrm{n}}{\partial \mathrm{w}}=0\)
4 None of these
Ray Optics

282832 In the visible region, the dispersive powers and the mean angular deviations for crown and flint glass prisms are \(\omega, \omega^{\prime}\) and \(d\) and \(d^{\prime}\) respectively. When the two prisms are combined, the condition of zero dispersion is

1 \(\sqrt{\omega \mathrm{d}}+\sqrt{\omega^{\prime} d^{\prime}}=0\)
2 \(\omega^{\prime} d+\omega d^{\prime}=0\)
3 \(\omega \mathrm{d}+\omega^{\prime} d^{\prime}=0\)
4 \((\omega \mathrm{d})^2+\left(\omega^{\prime} d^{\prime}\right)^2=0\)
Ray Optics

282833 A prism of a certain angle deviates the red and blue rays by \(8^{\circ}\) and \(12^{\circ}\), respectively. Another prism of the same angle deviates the red and blue rays by \(10^{\circ}\) and \(14^{\circ}\), respectively. The prisms are small angled and made of different materials. The dispersive power of the materials of the prisms are in the ratio

1 \(5: 6\)
2 \(9: 11\)
3 \(6: 5\)
4 \(11: 9\)
Ray Optics

282828 The refractive index of glass is \(\mathbf{1 . 5 2 0}\) for red light and 1.525 for blue light. Let \(D_1\) and \(D_2\) be angles of minimum deviation for red and blue light respectively in a prism of this glass, then,

1 \(\mathrm{D}_1<\mathrm{D}_2\)
2 \(\mathrm{D}_1=\mathrm{D}_2\)
3 \(D_1\) can be less than or greater than \(D_2\) depending upon the angle of prism
4 \(\mathrm{D}_1>\mathrm{D}_2\)
Ray Optics

282829 According to Rayleigh Scattering law

1 The light of only longer wavelengths is scattered more in earth's atmosphere.
2 Small - sized dust particles scatter preferentially smaller wavelengths of light.
3 The large size dust particles scatter only light of short wavelengths.
4 The light coming from sodium lamps show Rayleigh scattering very efficiently by large sized dust particles.
Ray Optics

282831 A medium with refractive index \(n(\omega)\), where \(\omega\) is the angular frequency, is said to possess anomalous dispersion when

1 \(\frac{\partial \mathrm{n}}{\partial \mathrm{w}}>0\)
2 \(\frac{\partial \mathrm{n}}{\partial \mathrm{w}}<0\)
3 \(\frac{\partial \mathrm{n}}{\partial \mathrm{w}}=0\)
4 None of these
Ray Optics

282832 In the visible region, the dispersive powers and the mean angular deviations for crown and flint glass prisms are \(\omega, \omega^{\prime}\) and \(d\) and \(d^{\prime}\) respectively. When the two prisms are combined, the condition of zero dispersion is

1 \(\sqrt{\omega \mathrm{d}}+\sqrt{\omega^{\prime} d^{\prime}}=0\)
2 \(\omega^{\prime} d+\omega d^{\prime}=0\)
3 \(\omega \mathrm{d}+\omega^{\prime} d^{\prime}=0\)
4 \((\omega \mathrm{d})^2+\left(\omega^{\prime} d^{\prime}\right)^2=0\)
Ray Optics

282833 A prism of a certain angle deviates the red and blue rays by \(8^{\circ}\) and \(12^{\circ}\), respectively. Another prism of the same angle deviates the red and blue rays by \(10^{\circ}\) and \(14^{\circ}\), respectively. The prisms are small angled and made of different materials. The dispersive power of the materials of the prisms are in the ratio

1 \(5: 6\)
2 \(9: 11\)
3 \(6: 5\)
4 \(11: 9\)
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Ray Optics

282828 The refractive index of glass is \(\mathbf{1 . 5 2 0}\) for red light and 1.525 for blue light. Let \(D_1\) and \(D_2\) be angles of minimum deviation for red and blue light respectively in a prism of this glass, then,

1 \(\mathrm{D}_1<\mathrm{D}_2\)
2 \(\mathrm{D}_1=\mathrm{D}_2\)
3 \(D_1\) can be less than or greater than \(D_2\) depending upon the angle of prism
4 \(\mathrm{D}_1>\mathrm{D}_2\)
Ray Optics

282829 According to Rayleigh Scattering law

1 The light of only longer wavelengths is scattered more in earth's atmosphere.
2 Small - sized dust particles scatter preferentially smaller wavelengths of light.
3 The large size dust particles scatter only light of short wavelengths.
4 The light coming from sodium lamps show Rayleigh scattering very efficiently by large sized dust particles.
Ray Optics

282831 A medium with refractive index \(n(\omega)\), where \(\omega\) is the angular frequency, is said to possess anomalous dispersion when

1 \(\frac{\partial \mathrm{n}}{\partial \mathrm{w}}>0\)
2 \(\frac{\partial \mathrm{n}}{\partial \mathrm{w}}<0\)
3 \(\frac{\partial \mathrm{n}}{\partial \mathrm{w}}=0\)
4 None of these
Ray Optics

282832 In the visible region, the dispersive powers and the mean angular deviations for crown and flint glass prisms are \(\omega, \omega^{\prime}\) and \(d\) and \(d^{\prime}\) respectively. When the two prisms are combined, the condition of zero dispersion is

1 \(\sqrt{\omega \mathrm{d}}+\sqrt{\omega^{\prime} d^{\prime}}=0\)
2 \(\omega^{\prime} d+\omega d^{\prime}=0\)
3 \(\omega \mathrm{d}+\omega^{\prime} d^{\prime}=0\)
4 \((\omega \mathrm{d})^2+\left(\omega^{\prime} d^{\prime}\right)^2=0\)
Ray Optics

282833 A prism of a certain angle deviates the red and blue rays by \(8^{\circ}\) and \(12^{\circ}\), respectively. Another prism of the same angle deviates the red and blue rays by \(10^{\circ}\) and \(14^{\circ}\), respectively. The prisms are small angled and made of different materials. The dispersive power of the materials of the prisms are in the ratio

1 \(5: 6\)
2 \(9: 11\)
3 \(6: 5\)
4 \(11: 9\)
Ray Optics

282828 The refractive index of glass is \(\mathbf{1 . 5 2 0}\) for red light and 1.525 for blue light. Let \(D_1\) and \(D_2\) be angles of minimum deviation for red and blue light respectively in a prism of this glass, then,

1 \(\mathrm{D}_1<\mathrm{D}_2\)
2 \(\mathrm{D}_1=\mathrm{D}_2\)
3 \(D_1\) can be less than or greater than \(D_2\) depending upon the angle of prism
4 \(\mathrm{D}_1>\mathrm{D}_2\)
Ray Optics

282829 According to Rayleigh Scattering law

1 The light of only longer wavelengths is scattered more in earth's atmosphere.
2 Small - sized dust particles scatter preferentially smaller wavelengths of light.
3 The large size dust particles scatter only light of short wavelengths.
4 The light coming from sodium lamps show Rayleigh scattering very efficiently by large sized dust particles.
Ray Optics

282831 A medium with refractive index \(n(\omega)\), where \(\omega\) is the angular frequency, is said to possess anomalous dispersion when

1 \(\frac{\partial \mathrm{n}}{\partial \mathrm{w}}>0\)
2 \(\frac{\partial \mathrm{n}}{\partial \mathrm{w}}<0\)
3 \(\frac{\partial \mathrm{n}}{\partial \mathrm{w}}=0\)
4 None of these
Ray Optics

282832 In the visible region, the dispersive powers and the mean angular deviations for crown and flint glass prisms are \(\omega, \omega^{\prime}\) and \(d\) and \(d^{\prime}\) respectively. When the two prisms are combined, the condition of zero dispersion is

1 \(\sqrt{\omega \mathrm{d}}+\sqrt{\omega^{\prime} d^{\prime}}=0\)
2 \(\omega^{\prime} d+\omega d^{\prime}=0\)
3 \(\omega \mathrm{d}+\omega^{\prime} d^{\prime}=0\)
4 \((\omega \mathrm{d})^2+\left(\omega^{\prime} d^{\prime}\right)^2=0\)
Ray Optics

282833 A prism of a certain angle deviates the red and blue rays by \(8^{\circ}\) and \(12^{\circ}\), respectively. Another prism of the same angle deviates the red and blue rays by \(10^{\circ}\) and \(14^{\circ}\), respectively. The prisms are small angled and made of different materials. The dispersive power of the materials of the prisms are in the ratio

1 \(5: 6\)
2 \(9: 11\)
3 \(6: 5\)
4 \(11: 9\)
Ray Optics

282828 The refractive index of glass is \(\mathbf{1 . 5 2 0}\) for red light and 1.525 for blue light. Let \(D_1\) and \(D_2\) be angles of minimum deviation for red and blue light respectively in a prism of this glass, then,

1 \(\mathrm{D}_1<\mathrm{D}_2\)
2 \(\mathrm{D}_1=\mathrm{D}_2\)
3 \(D_1\) can be less than or greater than \(D_2\) depending upon the angle of prism
4 \(\mathrm{D}_1>\mathrm{D}_2\)
Ray Optics

282829 According to Rayleigh Scattering law

1 The light of only longer wavelengths is scattered more in earth's atmosphere.
2 Small - sized dust particles scatter preferentially smaller wavelengths of light.
3 The large size dust particles scatter only light of short wavelengths.
4 The light coming from sodium lamps show Rayleigh scattering very efficiently by large sized dust particles.
Ray Optics

282831 A medium with refractive index \(n(\omega)\), where \(\omega\) is the angular frequency, is said to possess anomalous dispersion when

1 \(\frac{\partial \mathrm{n}}{\partial \mathrm{w}}>0\)
2 \(\frac{\partial \mathrm{n}}{\partial \mathrm{w}}<0\)
3 \(\frac{\partial \mathrm{n}}{\partial \mathrm{w}}=0\)
4 None of these
Ray Optics

282832 In the visible region, the dispersive powers and the mean angular deviations for crown and flint glass prisms are \(\omega, \omega^{\prime}\) and \(d\) and \(d^{\prime}\) respectively. When the two prisms are combined, the condition of zero dispersion is

1 \(\sqrt{\omega \mathrm{d}}+\sqrt{\omega^{\prime} d^{\prime}}=0\)
2 \(\omega^{\prime} d+\omega d^{\prime}=0\)
3 \(\omega \mathrm{d}+\omega^{\prime} d^{\prime}=0\)
4 \((\omega \mathrm{d})^2+\left(\omega^{\prime} d^{\prime}\right)^2=0\)
Ray Optics

282833 A prism of a certain angle deviates the red and blue rays by \(8^{\circ}\) and \(12^{\circ}\), respectively. Another prism of the same angle deviates the red and blue rays by \(10^{\circ}\) and \(14^{\circ}\), respectively. The prisms are small angled and made of different materials. The dispersive power of the materials of the prisms are in the ratio

1 \(5: 6\)
2 \(9: 11\)
3 \(6: 5\)
4 \(11: 9\)