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In a single slit experiment, a parallel beam of green light of wavelength \( 550 \, \text{nm} \) passes through a slit of width \( 0.20 \, \text{mm} \). The transmitted light is collected on a screen \( 100 \, \text{cm} \) away. The distance of first order minima from the central maximum will be \( x \times 10^{-5} \, \text{m} \). The value of \( x \) is:

Two slits are \( 1 \, \text{mm} \) apart and the screen is located \( 1 \, \text{m} \) away from the slits. A light of wavelength \( 500 \, \text{nm} \) is used. The width of each slit to obtain \( 10 \) maxima of the double slit pattern within the central maximum of the single slit pattern is __________ \( \times 10^{-4} \, \text{m} \)

A parallel beam of monochromatic light of wavelength \( 600 \, \text{nm} \) passes through single slit of \( 0.4 \, \text{mm} \) width. Angular divergence corresponding to second order minima would be ______ \( \times 10^{-3} \, \text{rad} \).

When a polaroid sheet is rotated between two crossed polaroids then the transmitted light intensity will be maximum for a rotation of:

In a double slit experiment shown in figure, when light of wavelength \( 400 \, \text{nm} \) is used, dark fringe is observed at \( P \). If \( D = 0.2 \, \text{m} \), the minimum distance between the slits \( S_1 \) and \( S_2 \) is __________ mm.

In a Young's double slit experiment, the intensity at a point is \( \left( \dfrac{1}{4} \right)^{\text{th}} \) of the maximum intensity, the minimum distance of the point from the central maximum is ______ \( \mu \text{m} \).
(Given: \( \lambda = 600 \, \text{nm} \), \( d = 1.0 \, \text{mm} \), \( D = 1.0 \, \text{m} \))

A parallel beam of monochromatic light of wavelength \( 5000 \, \mathring{A}\) is incident normally on a single narrow slit of width \( 0.001 \, \text{mm} \). The light is focused by convex lens on screen, placed on its focal plane. The first minima will be formed for the angle of diffraction of ________ (degree).

A beam of unpolarized light of intensity \( I_{0} \) passed through a polaroid \( A \) and then through another polaroid \( B \) which is oriented so that its principal plane makes an angle of \( 45^{\circ} \) relative to that of \( A \). The intensity of emergent light is:

Two coherent monochromatic light beams of intensities \( I \) and \( 4I \) are superimposed. The difference between maximum and minimum possible intensities in the resulting beam is \( xI \). The value of \( x \) is ________.

When unpolarized light is incident at an angle of \( 60^\circ \) on a transparent medium from air, the reflected ray is completely polarized. The angle of refraction in the medium is:

The diffraction pattern of a light of wavelength \( 400 \, \text{nm} \) diffracting from a slit of width \( 0.2 \, \text{mm} \) is focused on the focal plane of a convex lens of focal length \( 100 \, \text{cm} \). The width of the \( 1^{\text{st}} \) secondary maxima will be:

In Yong’s double slit experiment, monochromatic light of wavelength \( 5000 \, \mathring{A}\) is used. The slits are \( 1.0 \, \text{mm} \) apart and screen is placed at \( 1.0 \, \text{m} \) away from slits. The distance from the centre of the screen where intensity becomes half of the maximum intensity for the first time is __________ \( \times 10^{-6} \, \text{m} \).

In Young's double slit experiment, light from two identical sources are superimposing on a screen. The path difference between the two lights reaching at a point on the screen is \( \dfrac{7\lambda}{4} \). The ratio of intensity of fringe at this point with respect to the maximum intensity of the fringe is:

A microwave of wavelength \( 2.0 \, \text{cm} \) falls normally on a slit of width \( 4.0 \, \text{cm} \). The angular spread of the central maxima of the diffraction pattern obtained on a screen \( 1.5 \, \text{m} \) away from the slit, will be:

Which of the following phenomena does not explain by wave nature of light.
A. reflection
B. diffraction
C. photoelectric effect
D. polarization
Choose the most appropriate answer from the options given below:

In a single slit diffraction pattern, a light of wavelength \( 6000 \, \mathring{A} \) is used. The distance between the first and third minima in the diffraction pattern is found to be \( 3 \, \text{mm} \) when the screen in placed \( 50 \, \text{cm} \) away from slits. The width of the slit is __________ \( \times 10^{-4} \, \text{m} \).

In Young's double slit experiment, carried out with light of wavelength \( 5000 \,\text{ Å}
\), the distance between the slits is \( 0.3 \, \text{mm} \) and the screen is at \( 200 \, \text{cm} \) from the slits. The central maximum is at \( x = 0 \, \text{cm} \). The value of \( x \) for third maxima is ________ \( \text{mm} \).

Two waves of intensity ratio \( 1:9 \) cross each other at a point. The resultant intensities at that point, when (a) Waves are incoherent is \( I_1 \) (b) Waves are coherent is \( I_2 \) and differ in phase by \( 60^\circ \). If \( \dfrac{I_1}{I_2} = \dfrac{10}{x} \) then \( x = \_\_\_\_\_\_\_\_ \).

Two wavelengths \( \lambda_{1} \) and \( \lambda_{2} \) are used in Young’s double slit experiment. \( \lambda_{1} = 450 \, \text{nm} \) and \( \lambda_{2} = 650 \, \text{nm} \). The minimum order of fringe produced by \( \lambda_{2} \) which overlaps with the fringe produced by \( \lambda_{1} \) is \( n \). The value of \( n \) is ________.

A monochromatic light of wavelength \( 6000 \, Å \) is incident on the single slit of width \( 0.01 \, \text{mm} \). If the diffraction pattern is formed at the focus of the convex lens of focal length \( 20 \, \text{cm} \), the linear width of the central maximum is:

The width of one of the two slits in a Young’s double slit experiment is \( 4 \) times that of the other slit. The ratio of the maximum of the minimum intensity in the interference pattern is:

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JEE Main 2024 31st Jan Evening Shift

When unpolarized light is incident at an angle of \( 60^\circ \) on a transparent medium from air, the reflected ray is completely polarized. The angle of refraction in the medium is: