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A short pulse of white light is incident...

A short pulse of white light is incident from air to a glass slab at normal incidence. After travelling through the slab, the first colour to emerge is.

A

blue

B

green

C

violet

D

red

Text Solution

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The correct Answer is:
To solve the problem of determining which color of light emerges first from a glass slab when a short pulse of white light is incident at normal incidence, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Normal Incidence**: - When light strikes a surface at normal incidence, the angle of incidence (i) is 0 degrees. This means that the angle of refraction (r) is also 0 degrees. Therefore, there is no bending of the light as it enters the glass slab. 2. **Speed of Light in Different Mediums**: - The speed of light varies in different mediums. In a vacuum, all colors of light travel at the same speed (approximately 3 x 10^8 m/s). However, when light enters a medium like glass, its speed decreases depending on the wavelength of the light. 3. **Wavelength and Speed Relationship**: - The speed of light in a medium is inversely proportional to its refractive index (n) and directly proportional to its wavelength (λ). The relationship can be expressed as: \[ v = \frac{c}{n} \] - Where \( v \) is the speed of light in the medium, \( c \) is the speed of light in vacuum, and \( n \) is the refractive index of the medium for that specific color. 4. **Dispersion of Light**: - Different colors of light have different wavelengths. In general, red light has the longest wavelength, while violet light has the shortest. The order of wavelengths from longest to shortest is: red, orange, yellow, green, blue, indigo, violet. 5. **Velocity of Different Colors**: - Since the speed of light in a medium is higher for longer wavelengths, red light, having the longest wavelength, will travel faster through the glass slab compared to other colors. 6. **Conclusion**: - As the white light pulse exits the glass slab, the first color to emerge will be the one with the highest speed, which is red light. ### Final Answer: The first color to emerge from the glass slab is **red**. ---

To solve the problem of determining which color of light emerges first from a glass slab when a short pulse of white light is incident at normal incidence, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Normal Incidence**: - When light strikes a surface at normal incidence, the angle of incidence (i) is 0 degrees. This means that the angle of refraction (r) is also 0 degrees. Therefore, there is no bending of the light as it enters the glass slab. 2. **Speed of Light in Different Mediums**: ...
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