A diffraction pattern is formed by a single slit of width 0.2 mm using light of wavelength 500 nm. The distance to the screen is 1 m. Calculate the distance between the first and third minima on one side of the central maximum.

B. 5.0 mm — The position of the m-th minimum is given by y_m = m D / a. The distance between the first and third minima is (3 - 1) D / a = 2 D / a = 5.0 mm.

JEE Main · PhysicsHard

$A diffraction pattern is formed by a single slit of width using light of wavelength . The distance to the screen is . Calculate the distance between the first and third minima on one side of the central maximum.$

A. $2.5 mm$
B. $5.0 mm$
C. $7.5 mm$
D. $10.0 mm$

Show correct answer & step-by-step solution

Correct answer: B — $5.0 mm$

Solution

The position of the m -th minimum is given by y_{m} = \frac{mλ D}{a} . The distance between the first and third minima is (3 - 1) \frac{λ D}{a} = \frac{2 λ D}{a} = 5.0 mm .

Attempt this question & track your score

Attempt & Track Free →

More Wave Optics practice questions

$In Youngs double slit experiment, the fringe width is given by beta equals lambda D divided by d. If the distance betwee$
$Which of the following phenomena is used to explain the rectilinear propagation of light in the wave theory of light?$
$What is the condition for constructive interference in terms of path difference delta x for light waves of wavelength la$
$Brewsters law states that the tangent of the polarizing angle is equal to the refractive index of the medium. If the ref$
$When light travels from a rarer medium to a denser medium, what happens to its frequency?$
$In a Youngs double slit experiment, the distance between the slits is 0.1 mm and the screen is 1 m away. If the waveleng$
$A beam of unpolarized light of intensity I passes through two polarizers. The first polarizer has its transmission axis$
$In a single slit diffraction experiment, the width of the slit is 0.2 mm and the screen is 2 m away. If the wavelength o$
$Two coherent sources of light have intensities in the ratio 16:1. If they interfere, what is the ratio of the maximum to$
$At what angle of incidence should a light ray strike a glass plate of refractive index 1.5 so that the reflected light i$
$In a Youngs double slit experiment, the slits are separated by 0.28 mm and the screen is placed 1.4 m away. The distance$
$Two polaroids are placed in the path of a beam of unpolarized light of intensity I0. The angle between their transmissio$

View all Wave Optics questions →

A diffraction pattern is formed by a single slit of width a=0.2 mm using light of wavelength λ=500 nm. The distance to the screen is D=1 m. Calculate the distance between the first and third minima on one side of the central maximum.

Solution

Attempt this question & track your score

More Wave Optics practice questions

$A diffraction pattern is formed by a single slit of width using light of wavelength . The distance to the screen is . Calculate the distance between the first and third minima on one side of the central maximum.$