Question types

Dispersion and Spectra question types

27 questions across 4 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

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Sample Questions

Dispersion and Spectra questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

The angular dispersion produced by a prism:
  1. Increases if the average refractive index increases.
  2. Increases if the average refractive index decreases.
  3. Remains constant whether the average refractive index increases or decreases.
  4. Has no relation with average refractive index.
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Which of the following quantities increase when wavelength is increased? Consider only the magnitudes.
  1. The power of a converging lens.
  2. The focal length of a converging lens.
  3. The power of a diverging lens.
  4. The focal length of a diverging lens.
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Which of the following quantities related to a lens depend on the wavelength or wavelengths of the incident light?
  1. Power.
  2. Focal length.
  3. Chromatic aberration.
  4. Radii of curvature.
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By properly combining two prisms made of different materials, it is possible to:
  1. Have dispersion without average deviation.
  2. Have deviation without dispersion.
  3. Have both dispersion and average deviation.
  4. Have neither dispersion nor average deviation.
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If a glass prism is dipped in water, its dispersive power:
  1. Increases.
  2. Decreases.
  3. Does not change.
  4. May increase or decrease depending on whether the angle of the prism is less than or greater than 60°.
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Can the dispersive power $\omega=\frac{\mu_\text{v}-\mu\text{r}}{\mu-1}$ be negative? What is the sign of co if a hollow prism is immersed into water?
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The refractive index of a material changes by 0.014 as the colour of the light changes from red to violet. A rectangular slab of height 2.00cm made of this material is placed on a newspaper. When viewed normally in yellow light, the letters appear 1.32cm below the top surface of the slab. Calculate the dispersive power of the material.
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The equation $\omega=\frac{\mu_\text{v}-\mu_\text{r}}{\mu-1}$ asderived for a prism having small refracting angle. Is it also valid for a prism of large refracting angle? Is it also valid for a glass slab or a glass sphere?
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Q 113 Marks Question3 Marks
A thin prism of crown glass $(\mu_\text{r}=1.515,\mu_\text{v}=1.525)$ and a thin prism of flint glass $(\mu_\text{r}=1.612,\mu_\text{v}=1.632)$ are placed in contact with each other. Their refracting angles are 5.0° each and are similarly directed. Calculate the angular dispersion produced by the combination.
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Q 123 Marks Question3 Marks
The focal lengths of a convex lens for red, yellow and violet rays are 100cm, 98cm and 96cm respectively. Find the dispersive power of the material of the lens.
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Q 133 Marks Question3 Marks
Two prisms of identical geometrical shape are combined with their refracting angles oppositely directed. The materials of the prisms have refractive indices 1.52 and 1.62 for violet light. A violet ray is deviated by 1.0° when passes symmetrically through this combination. What is the angle of the prisms?
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Q 143 Marks Question3 Marks
A certain material has refractive indices 1.56, 1.60 and 1.68 for red, yellow and violet light respectively.
  1. Calculate the dispersive power.
  2. Find the angular dispersion produced by a thin prism of angle 6° made of this material.
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Q 153 Marks Question3 Marks
A flint glass prism and a crown glass prism are to be combined in such a way that the deviation of the mean ray is zero. The refractive index of flint and crown glasses for the mean ray are 1.620 and 1.518 respectively. If the refracting angle of the flint prism is 6.0°, what would be the refracting angle of the crown prism?
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Three thin prisms are combined as shown in figure. The refractive indices of the crown glass for red, yellow and violet rays are $\mu_\text{r},\mu_\text{y}$ and $\mu_\text{v}$ respectively and those for the flint glass are $\mu'_\text{r},\mu'_\text{y}$ and $\mu'_\text{v}$ respectively. Find the ratio $\frac{\text{A}'}{\text{A}}$ for which.
  1. There is no net angular dispersion.
  2. There is no net deviation in the yellow ray.
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A thin prism of angle $6.0^\circ,\omega=0.07$ and $\mu_\text{y}=1.50$ is combined with another thin prism having $\omega=0.08$ and $\mu_\text{y}=1.60.$ The combination produces no deviation in the mean ray.
  1. Find the angle of the second prism.
  2. Find the net angular dispersion produced by the combination when a beam of white light passes through it.
  3. If the prisms are similarly directed, what will be the deviation in the mean ray
  4. Find the angular dispersion in the situation described in (c).
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The refractive index of a material $M_1$ changes by $0.014$ and that of another material $M_2$ changes by $0.024$ as the colour of the light is changed from red to violet. Two thin prisms one made of $M_1(A = 5.3^\circ)$ and other made of $M_2(A = 3.7^\circ)$ are combined with their refracting angles oppositely directed.
  1. Find the angular dispersion produced by the combination.
  2. The prisms are now combined with their refracting angles similarly directed. Find the angular dispersion produced by the combination.
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