SATHEE: Optics Question 950

Optics Question 950

Question: The refractive index of air is 1.0003. The thickness of air column which will have one more wavelength of yellow light $(X = 6000 \overset{o}{A})$ than in the same thickness in vacuum is

Options:

A) 2 mm

B) 2 cm

C) 2 m

D) 2 km

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Let d in cm be the thickness of air column = thickness of vacuum column (given).

Number of waves of wavelength $λ = 6000 \overset{o}{A} = 6 \times 10^{- 5} c m$ in a thickness d cm in vacuum is $n_{v} = \frac{d}{λ}$

Since the refractive index of air $μ = 1.0003,$ the wavelength in air will be $λ_{a} = \frac{λ}{μ}$

Therefore, number of waves of wavelength $λ_{a}$ of air is $n_{a} = \frac{d}{λ_{a}} = \frac{d μ}{λ}$

Given that $n_{a} + 1 = n_{v}$

Hence $\frac{d μ}{λ} + 1 = \frac{d}{λ}$

$d = \frac{λ}{μ - 1}$

$= \frac{6 \times 10^{5} c m}{1.0003 - 1}$

$= 0.2 c m = 2 m m$

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Optics Question 950

Question: The refractive index of air is 1.0003. The thickness of air column which will have one more wavelength of yellow light $(X = 6000 \overset{o}{A})$ than in the same thickness in vacuum is

Options:

Answer:

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

Optics Question 950

Question: The refractive index of air is 1.0003. The thickness of air column which will have one more wavelength of yellow light (X=6000Ao) than in the same thickness in vacuum is

Options:

Answer:

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

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Question: The refractive index of air is 1.0003. The thickness of air column which will have one more wavelength of yellow light $(X = 6000 \overset{o}{A})$ than in the same thickness in vacuum is