In a Youngs double slit experiment, the path difference at a point on the screen is lambda/4. What is the ratio of intensity at this point to the maximum intensity on the screen?

A. 1:2 — The phase difference phi is 2*pi/lambda * path difference. For path difference lambda/4, phi = pi/2. The intensity I = I_max * cos^2(phi/2) = I_max * cos^2(pi/4) = I_max * (1/sqrt(2))^2 = I_max / 2.

JEE Main · PhysicsMedium

$In a Young's double slit experiment, the path difference at a point on the screen is Δ x = \frac{λ}{4} . What is the ratio of intensity at this point to the maximum intensity on the screen?$

A. $1 : 2$
B. $1 : 4$
C. $3 : 4$
D. $1 : 2$

Show correct answer & step-by-step solution

Correct answer: A — $1 : 2$

Solution

The phase difference is ϕ = \frac{2 π}{λ} Δ x = \frac{2 π}{λ} \times \frac{λ}{4} = \frac{π}{2} . The intensity is I = I_{max} cos^{2} (\frac{ϕ}{2}) = I_{max} cos^{2} (\frac{π}{4}) = I_{max} \times (\frac{1}{2})^{2} = \frac{I _{max}}{2} .

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 →

In a Young's double slit experiment, the path difference at a point on the screen is Δx=4λ​. What is the ratio of intensity at this point to the maximum intensity on the screen?

Solution

Attempt this question & track your score

More Wave Optics practice questions

$In a Young's double slit experiment, the path difference at a point on the screen is Δ x = \frac{λ}{4} . What is the ratio of intensity at this point to the maximum intensity on the screen?$