Q13. If the 8th bright band of wavelength λ₁ coincides with 9th bright brand of wavelength 22 in a Y

Q: What is the correct answer for CUET UG Physics Q13?

The correct answer is a. In Young's double-slit experiment, the position of the nth bright fringe (yn) from the central maximum is given by the formula yn = nλD/d, where n is the order of the fringe, λ is the wavelength of light, D is the distance from the slits to the screen, and d is the slit separation. If the 8th bright band of wavelength λ₁ coincides with the 9th bright band of wavelength λ₂, their positions must be

Q: Q13. If the 8th bright band of wavelength λ₁ coincides with 9th bright brand of wavelength 22 in a Young's double slits experiment, then the possible wavelength of two lights is: (a) λ₁ = 450 nm, λ₂…

The correct answer is a. In Young's double-slit experiment, the position of the nth bright fringe (yn) from the central maximum is given by the formula yn = nλD/d, where n is the order of the fringe, λ is the wavelength of light, D is the distance from the slits to the screen, and d is the slit separation. If the 8th bright band of wavelength λ₁ coincides with the 9th bright band of wavelength λ₂, their positions must be

Q: What are the options for this CUET UG Physics question?

A. λ₁ = 450 nm, λ₂ = 400 nm · B. λ₁ = 400 nm, λ₂ = 450 nm · C. λ₁ = 425 nm, λ₂ = 450 nm · D. λ₁ = 400 nm, λ₂ = 425 nm

Question

Q13. If the 8th bright band of wavelength λ₁ coincides with 9th bright brand of wavelength 22 in a Young's double slits experiment, then the possible wavelength of two lights is:
(a) λ₁ = 450 nm, λ₂ = 400 nm
(b) λ₁ = 400 nm, λ₂ = 450 nm
(c) λ₁ = 425 nm, λ₂ = 450 nm
(d) λ₁ = 400 nm, λ₂ = 425 nm

FirstInTest · Accepted Answer

In Young's double-slit experiment, the position of the nth bright fringe (yn) from the central maximum is given by the formula yn = nλD/d, where n is the order of the fringe, λ is the wavelength of light, D is the distance from the slits to the screen, and d is the slit separation. If the 8th bright band of wavelength λ₁ coincides with the 9th bright band of wavelength λ₂, their positions must be equal: 8λ₁D/d = 9λ₂D/d. This simplifies to 8λ₁ = 9λ₂, or λ₁/λ₂ = 9/8. We now check the given options to see which pair of wavelengths satisfies this ratio: (a) λ₁ = 450 nm, λ₂ = 400 nm. Ratio: 450/400 = 9/8. This matches the condition. (b) λ₁ = 400 nm, λ₂ = 450 nm. Ratio: 400/450 = 8/9. This is incorrect. (c) λ₁ = 425 nm, λ₂ = 450 nm. Ratio: 425/450 = 17/18. This is incorrect. (d) λ₁ = 400 nm, λ₂ = 425 nm. Ratio: 400/425 = 16/17. This is incorrect. Therefore, option (a) is the correct choice.

Answer

λ₁ = 450 nm, λ₂ = 400 nm

Answer

λ₁ = 400 nm, λ₂ = 450 nm

Answer

λ₁ = 425 nm, λ₂ = 450 nm

Answer

λ₁ = 400 nm, λ₂ = 425 nm

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