Question

indigo and red regions of VIBGYOR, respectively fall in the range of wavelength (a) \(430-470 \mathrm{~nm}\) and \(660-760 \mathrm{~nm}\) (0) 300-390 nm and \(600-650\) nm (d) \(390-760 \mathrm{~nm}\) and \(430-470 \mathrm{~nm}\) (d) \(660.760 \mathrm{~nm}\) and \(430-470 \mathrm{~nm}\).

Short answer

The indigo and red regions of VIBGYOR fall in the range of wavelengths 430-470 nm and 660-760 nm, respectively, which corresponds to option (a).

Step-by-step solution

Understand the Visible Spectrum

The visible spectrum of light is commonly known by the acronym VIBGYOR, representing the colors Violet, Indigo, Blue, Green, Yellow, Orange, and Red. This spectrum falls within the wavelength range of approximately 380 to 750 nm. The indigo and red regions are specific portions of this spectrum.

Identify Indigo and Red Wavelength Ranges

Indigo is a color in the visible spectrum that is traditionally depicted as being between blue and violet. It generally falls into the wavelength range of around 430 to 450 nm. Red is the color at the end of the visible spectrum and its wavelengths range from about 620 to 750 nm.

Match with Given Options

Examine the given options and match them with the known wavelength ranges for indigo and red light. The correct ranges should fall within or encompass the known ranges for these colors in the visible spectrum.

Choose the Correct Option

Based on the known wavelengths of indigo and red light, we can determine that option (a) with the range of 430-470 nm for indigo and 660-760 nm for red is the correct match, as it is the only option that accurately represents the wavelength ranges for both the indigo and red regions of the visible spectrum.

Key concepts

VIBGYOR Spectrum

The VIBGYOR spectrum represents the colors of the visible light spectrum that can be perceived by the human eye. Each color has a specific range of wavelengths and is a part of the larger electromagnetic spectrum. The visible light spectrum is a small window of wavelengths ranging approximately from 380 to 750 nanometers (nm), which our eyes can detect.

VIBGYOR is an acronym that stands for Violet, Indigo, Blue, Green, Yellow, Orange, and Red, in that order, starting from the shortest wavelength (violet) to the longest wavelength (red). Understanding the VIBGYOR spectrum is paramount in physics and optics as it helps in unraveling the complexities of light, color perception, and applications involving light such as spectroscopy, astronomy, and photography, to name a few.

• Violet generally ranges from 380 to 450 nm.
• Indigo spans approximately from 450 to 495 nm.
• Blue covers about 495 to 570 nm.
• Green extends from 570 to 590 nm.
• Yellow ranges from 590 to 620 nm.
• Orange covers 620 to 750 nm alongside red.
• Red captures the range starting around 620 nm up to 750 nm.

The precise definitions of where one color ends and another begins can vary slightly based on different scientific or cultural interpretations.

Indigo Wavelength Range

Indigo, often depicted as the majestic color residing between the coolness of blue and the depth of violet, is traditionally considered one of the seven colors of the visible spectrum. When we talk about the wavelength range of indigo, we refer to the segment of the visible light spectrum that approximates from 430 to 450 nm.

The notion of 'indigo' as a separate color in the spectrum has been the subject of debate among scientists and artists. However, for the purpose of scientific consistency, the identified range for indigo facilitates the study of optical phenomena. Devices like spectrometers and applications such as fiber optics and colorimetry rely on the exactness of these ranges to function accurately and effectively.

In terms of practical observation, indigo is less distinct to the human eye compared to other colors of the VIBGYOR spectrum and has a narrower wavelength range. It's a deep and saturated color, which may not be as commonly recognized as other colors such as blue or red.

Red Wavelength Range

Red, synonymous with warmth and ardor, marks the end of the visible spectrum with the longest wavelengths discernible to the human eye. The red wavelength range is a critical concept in various scientific disciplines, from astronomy to color theory. Red light typically spans from about 620 to 750 nm; this spectral location endows it with unique characteristics, such as lower energy photons compared to the blue end of the spectrum, and a higher likelihood of being scattered by atmospheric particles, leading to phenomena like red sunsets.

Applications that utilize the red wavelength range are vast, including but not limited to, fiber optic communications, remote controls, and laser pointers. More broadly, the red wavelength range plays a pivotal role in our understanding of the universe, as the redshift observed in light from distant galaxies has been a cornerstone evidence for the expansion of the universe under the Big Bang theory.

Moreover, in the realm of art and design, the red color holds significant emotional and semiotic weight, often associated with passion, alert, and attention, leveraging its visibility and psychological impact.