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91Ó°ÊÓ

In a glass prism, spectrum is produced due to: (a) refraction (b) dispersion (c) scattering (d) diffraction

Short Answer

Expert verified
Spectrum is produced due to dispersion.

Step by step solution

01

Understand Spectrum Formation

A spectrum is formed when light is spread out according to its different wavelengths. This typically happens when light passes through a medium that separates the different colors.
02

Define Key Term - Dispersion

Dispersion is the process by which white light is separated into its constituent colors (spectrum) when it passes through a medium like a prism. This occurs because different wavelengths of light are refracted at slightly different angles, causing them to spread out and form a spectrum.
03

Consider Other Options

While refraction and diffraction also involve bending of light, refraction alone does not separate light into a spectrum, and diffraction involves the bending of light around an object causing interference patterns. Scattering involves the redirection of light in multiple directions, not the separation into a spectrum.
04

Identify the Correct Option

Since the formation of a spectrum in a glass prism is because light is separated into different colors, the correct term that describes this process is 'dispersion.'

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Spectrum Formation
When we mention spectrum formation, we're talking about a fascinating phenomenon where white light splits into its constituent colors. Imagine sunlight hitting raindrops, creating a colorful rainbow. This happens because of spectrum formation. In this process, light is divided into colors based on its varied wavelengths. Each color corresponds to a specific wavelength. For instance, red has longer wavelengths, while violet has shorter ones.
This separation doesn't occur randomly. It takes place when light passes through a medium like a prism, which can differentiate between these wavelengths. The result is a beautiful display of colors, arranged like a rainbow: red, orange, yellow, green, blue, indigo, and violet.
  • Spectrum formation occurs when light is divided according to its wavelengths.
  • A medium like a prism help achieve this by separating the colors.
  • This explains natural spectacles like rainbows.
Understanding spectrum formation enriches our knowledge about how light behaves and interacts with different media.
Wavelength Separation
Wavelength separation is a crucial part of understanding how a spectrum is formed. Each color of light has its own specific wavelength. When light enters a new medium, like glass, these wavelengths change direction at different angles due to a property called refraction. This bending varies because each wavelength travels at different speeds.
The speed variation in glass causes shorter wavelengths (like violet and blue) to bend more than longer wavelengths (like red and orange). The result? Each color scatters differently, creating a visible spread of colors.
  • Wavelength separation depends on the speed changes in different mediums.
  • The bending difference in wavelengths leads to color separation.
  • A slower wavelength in glass results in a greater bending angle.
This principle not only applies to prisms but also explains natural phenomena such as the colorful arcs of rainbows.
Glass Prism Refraction
The role of glass prisms in refraction is central to creating a spectrum. Refraction is the change in light's direction as it passes from one medium to another, like air to glass. This happens because light travels at different speeds in different materials.
In a glass prism, when white light enters, it's refracted or bent at two surfaces - the entry and the exit. This bending is what leads to the dispersion of light into its constituent colors. Each of these colors bends at a slightly different angle due to their different wavelengths.
  • Refraction in a prism involves bending light at two surfaces.
  • Different wavelengths refract differently because of speed variations.
  • This refraction and subsequent dispersion give us a complete color spectrum.
Hence, a simple glass prism is a powerful tool for demonstrating how light can be split into its vibrant colors using the principle of refraction.

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Most popular questions from this chapter

One face \(A C\) of the glass prism is silvered as shown and the principal section of a glass prism is an isosceles triangle \(A B C\) with \(A B=A C\). The \(\angle B A C\), if the ray incident normally on face \(A B\) and after two reflections, it emerges from the base \(B C\), perpendicular to it, is : (a) \(70^{\circ}\) (b) \(36^{\circ}\) (c) \(72^{\circ}\) (d) \(44^{\circ}\)

A thin prism of angle \(7^{\circ}\) made of glass of refractive index \(1.5\) is combined with another prism made of glass of \(\mu=1.75\) to produce dispersion without deviation. The angle of second prism is: (a) \(7^{\circ}\) (b) \(4.67^{\circ}\) (c) \(9^{\circ}\) (d) \(5^{\circ}\)

A tank contains two different liquids which do not mix with each other. The lower and upper liquids are at depth \(h_{2}\) and \(h_{1}\) respectively and of refractive indices \(\mu_{2}\) and \(\mu_{1}\). An object ' \(O^{\prime}\) is located at the bottom, when seen vertically from above. Locate the position of image of the object \(O\) as seen from above : (a) \(\frac{h_{1}}{\mu_{1}}-\frac{h_{2}}{\mu_{2}}\) (b) \(\frac{h_{1}}{\mu_{1}}+\frac{h_{2}}{\mu_{2}}\) (c) \(\frac{h_{1}}{\mu_{2}}+\frac{h_{2}}{\mu_{1}}\) (d) \(\frac{h_{1}}{\mu_{2}}-\frac{h_{2}}{\mu_{1}}\)

A compound microscope has an eye piece of focal length \(10 \mathrm{~cm}\) and an objective of focal length \(4 \mathrm{~cm}\). The magnification, if an object is kept at a distance of \(5 \mathrm{~cm}\) from the objective and final image is formed at the least distance of distinct vision \((20 \mathrm{~cm})\), is : (a) 10 (b) 11 (c) 12 (d) 13

Two thin convex lenses of focal lengths \(f_{1}\) and \(f_{2}\) are separated by a horizontal distance \(d\) (where \(d

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