Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Wave Optics

Question:

The figure shows a schematic diagram showing the arrangement of Young’s double slit experiment

$\mathrm{d}<<1$ and $\mathrm{d}<<\mathrm{D}, \frac{\lambda}{\mathrm{d}} << 1$

Choose the correct statement related to wavelength of light used.

Options:

larger the wavelength of light larger the fringe width

if white light is used in YDSE, then the violet color forms its first maxima closest to the central maxima

the central maxima of all the wavelengths coincide

all the above statements are correct

Correct Answer:

all the above statements are correct

Explanation:

Fringe width $\beta=\frac{\lambda D}{d}$,

thus β ∝ λ

The position of central maxima is independent of the wavelength of the light used.

The position of the nth maxima,

$\mathrm{y}_{\mathrm{n}}=\frac{\mathrm{n} \lambda \mathrm{D}}{\mathrm{d}}$

Thus, smaller the value of λ, lesser the value of yn