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As the wavelength in increased form viol...

As the wavelength in increased form violet to red, the luminosity

A

continously increases

B

continously decreases

C

increases then decreases

D

decreases then increases

Text Solution

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The correct Answer is:
To solve the question regarding how luminosity changes as the wavelength increases from violet to red, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Visible Spectrum**: - The visible spectrum consists of seven colors, commonly remembered by the acronym VIBGYOR (Violet, Indigo, Blue, Green, Yellow, Orange, Red). - The wavelengths of these colors range from approximately 350 nanometers (nm) for violet to about 700 nm for red. 2. **Identify Wavelength and Energy Relationship**: - The energy of electromagnetic radiation is inversely proportional to its wavelength. This means that as the wavelength increases, the energy decreases. - Mathematically, this can be expressed as: \[ E = \frac{hc}{\lambda} \] where \(E\) is energy, \(h\) is Planck's constant, \(c\) is the speed of light, and \(\lambda\) is the wavelength. 3. **Analyze Luminosity with Wavelength**: - Luminosity refers to the total amount of energy emitted by a source per unit time. In the context of visible light, it can be understood as the brightness perceived by the human eye. - A graph of relative luminosity versus wavelength typically shows that luminosity increases to a peak and then decreases as the wavelength continues to increase. 4. **Graphical Representation**: - The graph of relative luminosity against wavelength starts low at violet (350 nm), rises to a peak around 555 nm (green light), and then decreases as the wavelength approaches red (700 nm). - This indicates that luminosity is highest at around 555 nm and decreases for wavelengths longer than this. 5. **Conclusion**: - Therefore, as the wavelength increases from violet to red, the luminosity first increases to a maximum at about 555 nm and then decreases thereafter. ### Final Answer: As the wavelength increases from violet to red, the luminosity first increases and then decreases.
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