Diffraction at a Single Slit

In single slit diffraction pattern, the wavelength of light used is 628 nm and slit width is 0.2 mm, the angular width of central maximum is $\alpha \times 10^{-2}$ degrees. The value of $\alpha$ is ________.

In the diffraction pattern due to a single slit of width '$a$' with incident light of wavelength '$\lambda$', at an angle of diffraction '$\theta$', the condition for the second maximum is

In diffraction experiment from single slit, the angular width of the central maxima does NOT depend upon

When the distance of separation between the slit and screen is doubled, the angular separation between fringes in single slit diffraction pattern experiment

Which of the following are true for a single slit diffraction?

A. Width of central maxima increases with increase in wavelength keeping slit width constant. B. Width of central maxima increases with decrease in wavelength keeping slit width constant. C. Width of central maxima increases with decrease in slit width at constant wavelength. D. Width of central maxima increases with increase in slit width at constant wavelength. E. Brightness of central maxima increases for decrease in wavelength at constant slit width.

A slit of width $a$ is illuminated by light of wavelength $\lambda$. The linear separation between $1$st and $3$rd minima in the diffraction pattern produced on a screen placed at a distance $D$ from the slit system is ______.

In a Fraunhofer diffraction of a single slit, when a slit is illuminated by a light of wavelength $6480$ Å, angular width of central maximum is measured. When the slit is illuminated by light of another wavelength '$\lambda$' the angular width decreases by $25\%$. The value of $\lambda$ in Å units is

Light of wavelength $\lambda$ is incident on a single slit of width 'a' and the distance between slit and screen is 'D'. In diffraction pattern, if slit width is equal to the width of the central maximum then 'D' is equal to

Light of wavelength $\lambda$ is incident on a single slit of width 'a' and the distance between slit and screen is D. In diffraction pattern, if slit width is equal to the width of the central maximum then D is equal to

In the diffraction pattern, the first maximum is at $30^\circ$, when a monochromatic light of wavelength $\lambda$ is incident on a slit of width $a$. For the same wavelength, if the slit width is changed, so that first maximum is at $45^\circ$. The slit width is changed by $\left(\sin 30^\circ = \frac{1}{2}, \sin 45^\circ = \frac{1}{\sqrt{2}}\right)$

Light of wavelength $580$ nm is incident normally on a slit of width '$a$'. The distance between slit and screen is $2.5$ m and the distance of the second order maximum from the centre of the screen is $14.5$ mm in a diffraction pattern. The value of '$a$' is

In a single slit diffraction pattern, the distance between the plane of the slit and the screen is $1.4$ m. The width of the slit is $0.66$ mm. The second maximum is formed at the distance of $2.8$ mm from the center of the screen. The wavelength of light used is

In a single slit diffraction experiment, for wavelength '$\lambda$', half angular width of the principal maxima is '$\theta$'. Also for wavelength of light '$p\lambda$', the half angular width of the principal maxima is '$q\theta$'. The ratio of the half angular widths of the first secondary maxima in the first case to second case will be

In double slit experiment, the two slits are $1$ mm apart and the screen is placed $1$ m away. A monochromatic light of wavelength $500$ nm is used. What will be the width of each slit for obtaining ten maxima of double slit within the central maxima of single slit pattern?

In Fraunhofer diffraction pattern, slit width is 0.2 mm and screen is at 2 m away from the lens. If the distance between the first minimum on either side of the central maximum is 1 cm, the wavelength of light used is

In a single slit diffraction pattern, identify the incorrect statement from the following.

If the measured angular separation between the second minimum to the left of the central maximum and the third minimum to the right of the central maximum is $30^\circ$ in a single slit diffraction pattern recorded using 628 nm light, then the width of the slit is _______ $\mu$m.

In Fraunhofer diffraction pattern, slit width is 0.3 mm and screen is at 1.5 m away from the lens. If wavelength of light used is $4500\text{ \AA}$, then the distance between the first minimum on either side of the central maximum is [ $\theta$ is small and measured in radian.]

In a Fraunhoffer diffraction, light of wavelength ' $\lambda$ ' is incident on slit of width ' d '. The diffraction pattern is observed on a screen placed at a distance ' $D$ '. The linear width of central maximum is equal to two times the width of the slit, then 'D' has value

A single slit diffraction pattern is formed with white light. For what wavelength of light the $4$th secondary maximum in diffraction pattern coincides with the $3$rd secondary maximum in the pattern of light of wavelength ' $\lambda$ '?

A single slit diffraction pattern is formed with light of wavelength $6384\text{ Å}$. The second secondary maximum for this wavelength coincides with the third secondary maximum in the pattern for light of wavelength ' $\lambda_0$ '. The value of ' $\lambda_0$ ' is

In a single slit diffraction pattern, the distance between the plane of the slit and screen is 1.3 m. The width of the slit is 0.65 mm and the second maximum is formed at the distance of 2.6 mm from the centre of the screen. The wavelength of light used is

In a single slit diffraction experiment, slit of width ' $a$ ' is illuminated by light of wavelength ' $\lambda$ ' and the width of the central maxima in diffraction pattern is measured as ' $y$ '. When half of the slit is covered and illuminated by light of wavelength (1.5) $\lambda$, the width of the central maximum in diffraction pattern becomes

In a Young's double slit experiment, two slits are located 1.5 mm apart. The distance of screen from slits is 2 m and the wavelength of the source is 400 nm. If the 20 maxima of the double slit pattern are contained within the central maximum of the single slit diffraction pattern, then the width of each slit is $x \times 10^{-3}\text{ cm}$, where $x$-value is _________.

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 _________ $\times 10^{-3}\text{ rad}$.

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:

A parallel beam of monochromatic light of wavelength 5000 $\text{\AA}$ 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).

The angular separation of the central maximum in the Fraunhofer diffraction pattern is measured. The slit is illuminated by the light of wavelength $6000\text{ \AA}$. If the slit is illuminated by light of another wavelength, the angular separation decreases by $20\%$. The wavelength of light used is

In Fraunhofer diffraction pattern, slitwidth is 0.5 mm and screen is at 2 m away from the lens. If wavelength of light used is $5500\text{ \AA}$, then the distance between the first minimum on either side of the central maximum is ( $\theta$ is small and measured in radian)

In a diffraction pattern due to single slit of width ' $a$ ', the first minimum is observed at an angle $30^\circ$ when light of wavelength $5000\text{ \AA}$ is incident on the slit. The first secondary maximum is observed at an angle $\left[\sin 30 = \frac{1}{2}\right]$

A diffraction pattern is obtained using a beam of red light. If red light is replaced by blue light then

A screen is placed at 50 cm from a single slit, which is illuminated with light of wavelength 600 nm. If separation between the $1$st and $3$rd minima in the diffraction pattern is 3 mm then slit width is

In a single slit diffraction pattern, a light of wavelength 6000$\text{\AA}$ 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 _________ $\times 10^{-4}\text{ m}$.

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:

A monochromatic light of wavelength $6000\text{ \AA}$ 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:

In a single slit diffraction experiment, for a wavelength of light ' $\lambda$ ', half-angular width of the principal maxima is ' $\theta$ '. Also for wavelength of light $p\lambda$, the half angular width of the principal maxima is $q\theta$. The ratio of the half-angular widths of the first secondary maxima in the first case to second case will be

Two wavelength 590 nm and 596 nm of sodium light are used one after other, to study the diffraction taking place at a single slit of aperture 2.4 mm. The distance between the slit and screen is 2 m. The separation between the positions of first secondary maximum of the diffraction pattern obtained in the two cases is

A single slit diffraction pattern is formed with light of wavelength $6195\text{ Å}$. The second secondary maximum for this wavelength coincides with the third secondary maximum in the pattern for light of wavelength ' $\lambda_0$ '. The value of ' $\lambda_0$ ' 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 $1$st secondary maxima will be:

A single slit of width $d$ is illuminated by violet light of wavelength 400 nm and the width of the diffraction pattern is measured as ' Y '. When half of the slit width is covered and illuminated by yellow light of wavelength 600 nm, the width of the diffraction pattern 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 __________ $\times 10^{-4}\text{ m}$.

Light of wavelength $5000\text{ \AA}$ is incident normally on a slit. The first minimum of the diffraction pattern is observed to lie at a distance of $5\text{ mm}$ from the central maximum on a screen placed at a distance of $2\text{ m}$ from the slit. The width of the slit is

A single slit of width $a$ is illuminated by a monochromatic light of wavelength $600\text{ nm}$. The value of ' $a$ ' for which first minimum appears at $\theta = 30^\circ$ on the screen will be:

A beam of light of wavelength $600\text{ nm}$ from a distant source falls on a single slit $1\text{ mm}$ wide and the resulting diffraction pattern is observed on a screen $2\text{ m}$ away. The distance between the first dark fringe on either side of the central bright fringe is

A parallel beam of monochromatic light falls normally on a single narrow slit. The angular width of the central maximum in the resulting diffraction pattern

Light of wavelength ',$\lambda$' is incident on a slit of width '$d$'. The resulting diffraction pattern is observed on a screen at a distance '$D$'. The linear width of the principal maximum is then equal to the width of the slit if $D$ equals

In a diffraction pattern due to single slit of width '$a$', the first minimum is observed at an angle of $30^\circ$ when the light of wavelength $5400\text{ \AA}$ is incident on the slit. The first secondary maximum is observed at an angle of $\left(\sin 30^\circ = \frac{1}{2}\right)$

The diffraction fringes obtained by a single slit are of

In the experiment of diffraction due to a single slit, if the slit width is decreased, the width of the central maximum

Two wavelengths of sodium light $590\text{ nm}$ and $596\text{ nm}$ are used one after another to study diffraction due to single slit of aperture $2 \times 10^{-6}\text{ m}$. The distance between the slit and the screen is $1.5\text{ m}$. The separation between the positions of first maximum of the diffraction pattern obtained in the two cases is

If $I_0$ is the intensity of the principal maximum in the single slit diffraction pattern, then what will be the intensity when the slit width is doubled?

In a single slit experiment, the width of the slit is doubled. Which one of the following statements is correct?

A parallel beam of monochromatic light falls normally on a single narrow slit. The angular width of the central maximum in the resulting diffraction pattern

In a Fraunhofer diffraction at a single slit of width 'd' and incident light of wavelength $5500\text{ \AA}$, the first minimum is observed at an angle $30^\circ$. The first secondary maxima is observed at an angle $\theta$, equal to

Sodium light of wavelengths 650 nm and 655 nm is used to study diffraction at a single slit of aperture 0.5 mm. The distance between the slit and the screen is 2.0 m. The separation between the positions of the first maxima of diffraction pattern obtained in the two cases is ___________ $\times$ 10$-$5 m.

A beam of light having wavelength $5400\text{ \AA}$ from a distant source falls on a single slit $0.96\text{ mm}$ wide and the resultant diffraction pattern is observed on a screen $2\text{ m}$ away. What is the distance between the first dark fringe on either side of central bright fringe?

In Fraunhofer diffraction pattern, slit width is 0.2 mm and screen is at 2m away from the lens. If wavelength of light used is 5000$\text{\AA}$ then the distance between the first minimum on either side of the central maximum is ($\theta$ is small and measured in radian)

The width of central maximum of a diffraction pattern on a single slit does not depend upon

In diffraction experiment, from a single slit, the angular width of central maximum does NOT depend upon

Consider the diffraction pattern obtained from the sunlight incident on a pinhole of diameter 0.1 $\mu$m. If the diameter of the pinhole is slightly increased, it will affect the diffraction pattern such that:

In a single slit diffraction pattern, the distance between the first minimum on the left and the first minimum on the right is $5\text{ mm}$. The screen on which the diffraction pattern is obtained is at a distance of $80\text{ cm}$ from the slit. The wavelength used is 6000 $\text{\AA}$. The width of the silt is

Light of wavelength '$\lambda$' is incident on a single slit of width 'a' and the distance between slit and screen is 'D'. In diffraction pattern, if slit width is equal to the width of the central maximum then $D =$

A single slit diffraction pattern is formed with white light. For what wavelength of light the $3$rd secondary maximum in diffraction pattern coincides with the $2$nd secondary maximum in the pattern of red light of wavelength 6000 $\text{Å}$?

A light wave of wavelength $\lambda$ is incident on a slit of width $d$. The resulting diffraction pattern is observed on a screen at a distance $D$. If linear width of the principal maxima is equal to the width of the slit, then the distance $D$ is

In diffraction experiment, from a single slit, the angular width of the central maxima does not depend upon

Visible light of wavelength 6000 $\times$ 10-8 cm falls normally on a single slit and produces a diffraction pattern. It is found that the second diffraction minimum is at 60° from the central maximum. If the first minimum is produced at $\theta$1, then $\theta$1, is close to:

Orange light of wavelength 6000 $\times$ 10–10 m illuminates a single

slit of width 0.6 $\times$ 10–4 m. The maximum possible number of diffraction minima produced on both sides of the central maximum is ___________.

Angular width of the central maxima in the Fraunhofer diffraction for $\lambda = 6000$ Å is $\theta_0$. When the same slit is illuminated by another monochromatic light, the angular width decreases by 30%. The wavelength of this light is

The luminous border that surrounds the profile of a mountain just before sun rises behind it, is an example of

Light of wavelength ' $\lambda$ ' is incident on a single slit of width ' $a$ ' and the distance between slit and screen is ' $D$ '. In diffraction pattern, if slit width is equal to the width of the central maximum then ' $D$ ' is equal to

${}^\circ$

In a double-slit experiment, green light (5303$\text{Å}$) falls on a double slit having a separation of 19.44 $\mu$m and a width of 4.05 $\mu$m. The number of bright fringes between the first and the second diffraction minima is:

Light of wavelength $550\text{ nm}$ falls normally on a slit of width $22.0 \times 10^{-5}\text{ cm.}$ The angular position of the second minima from the central maximum will be (in radians):

The angular width of the central maximum in a single slit diffraction pattern is 60°. The width of the slit is 1 $\mu$m. The slit is illuminated by monochromatic plane waves. If another slit of same width is made near it, Young’s fringes can be observed on a screen placed at a distance 50 cm from the slits. If the observed fringe width is 1 cm, what is slit separation distance? (i.e. distance between the centres of each slit.)

A single slit of width 0.1 mm is illuminated by a parallel beam of light of wavelength 6000 $\text{\AA}$ and diffraction bands are observed on a screen 0.5 m from the slit. The distance of the third dark band from the central bright band is:

A single slit of width b is illuminated by a coherent monochromatic light of wavelength $\lambda$. If the second and fourthminima in the diffraction pattern at a distance 1 m from the slit are at 3 cm and 6 cm respectively from the central maximum, what is the width of the central maximum? (i.e. distance between first minimum on either side of the central maximum)

A linear aperture whose width is 0.02 cm is placed immediately in front of a lens of focal length 60 cm. The aparture is illuminated normally by a parallel beam of wavelength 5 $\times$ 10$-$5 cm. The distance of the first dark band of the diffraction pattern from the centre of the screen is

In a diffraction pattern due to a single slit of width $a$, the first minimum is observed at an angle 30° when light of wavelength 5000 $\text{\AA}$ is incident on the slit. The first secondary maximum is observed at an angle of

The box of a pin hole camera, of length $L,$ has a hole of radius a. It is assumed that when the hole is illuminated by a parallel beam of light of wavelength $\lambda$ the spread of the spot (obtained on the opposite wall of the camera) is the sum of its geometrical spread and the spread due to diffraction. The spot would then have its minimum size (say $b_{\min}$) when:

For a parallel beam of monochromatic light of wavelength '$\lambda$', diffraction is produced by a single slit whose width 'a' is of the order of the wavelength of the light. If 'D' is the distance of the screen from the slit, the width of the central maxima will be

At the first minimum adjacent to the central maximum of a single-slit diffraction pattern, the phase difference between the Huygen's wavelet from the edge of the slit and the wavelet from the midpoint of the slit is

In a double slit experiment, the two slits are 1 mm apart and the screen is placed 1 m away. A monochromatic light of wavelength 500 nm is used. What will be the width of each slit for obtaining ten maxima of double slit within the central maxima of single slit pattern?

A beam of light of $\lambda = 600$ nm from a distant source falls on a single slit 1 mm wide and the resulting diffraction pattern is observed on a screen 2 m away. The distance between first dark fringes on either side of the central bright fringe is

In an experiment of single slit diffraction pattern, first minimum for red light coincides with first maximum of some other wavelength. If wavelength of red light is 6600 $\text{Å}$, then wavelength of first maximum will be:

In a Young's double slit experiment, the distance between the two identical slits is 6.1 times larger than the slit width. Then the number of intensity maxima observed within the central maximum of the single slit diffraction pattern is:

A parallel beam of light of wavelength $\lambda$ is incident normally on a narrow slit. A diffraction pattern is formed on a screen placed perpendicular to the direction of the incident beam. At the second minimum of the diffraction pattern, the phase difference between the rays coming from the two edges of slit is

If $I_0$ is the intensity of the principal maximum in the single slit diffraction pattern, then what will be its intensity when the slit width is doubled?

A parallel beam of monochromatic light of wavelength 5000 Å is incident normally on a single narrow slit of width 0.001 mm. The light is focussed by a convex lens on a screen placed in focal plane. The first minimum will be formed for the angle of diffraction equal to