Question:
If the eighth bright band due to light of wavelength $\lambda_1$coincides with ninth bright band from light of wavelength $\lambda_2$ , in Young's double slit experiment, then the possible wavelengths of visible light are
If the eighth bright band due to light of wavelength $\lambda_1$coincides with ninth bright band from light of wavelength $\lambda_2$ , in Young's double slit experiment, then the possible wavelengths of visible light are
Updated On: Sep 4, 2023
- 400 nm and 450 nm
- 425 nm and 400 nm
- 400 nm and 425 nm
- 450 nm and 400 nm
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The Correct Option is D
Solution and Explanation
Position of nth bright fringe from central maximum is $\frac{n \lambda D}{d}$.
$\therefore \frac{8 \lambda_1 D}{d} = \frac{9 \lambda_2 D}{d}$
$ \frac{\lambda_1}{\lambda_2} = \frac{9}{8}$
which is correct only option (d).
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Concepts Used:
Wave Optics
- Wave optics are also known as Physical optics which deal with the study of various phenomena such as polarization, interference, diffraction, and other occurrences where ray approximation of geometric optics cannot be done. Thus, the section of optics that deals with the behavior of light and its wave characteristics is known to be wave optics.
- In wave optics, the approximation is carried out by utilizing ray optics for the estimation of the field on a surface. Further, it includes integrating a ray-estimated field over a mirror, lens, or aperture for the calculation of the transmitted or scattered field.
- Wave optics stands as a witness to a famous standoff between two great scientific communities who devoted their lives to understanding the nature of light. Overall, one supports the particle nature of light; the other supports the wave nature.
- Sir Isaac Newton stood as a pre-eminent figure that supported the voice of particle nature of light, he proposed a corpuscular theory which states that “light consists of extremely light and tiny particles, called corpuscles which travel with very high speeds from the source of light to create a sensation of vision by reflecting on the retina of the eye”.