Young's Double Slit Experiment Practice Problems

A 580 nm light beam source is used for a double-slit experiment. The slits have a separation of 0.35 mm, while the screen is located 1.6 m from the slits. The central maximum is located at the origin point of the coordinate system. One of the slits is covered with a thin sheet of transparent polythene material. Light will travel slower through this material medium compared to air; therefore, the waves passing through the polythene will be slowed down by 4.5 × 10^-16 s relative to the other slit. Express the value of this delay as a percentage of the wave's period.

A double slit experiment uses a light source of wavelength 560 nm, where the slits are separated by a distance of 0.32 mm, and a screen is placed at 0.94 m behind the slits. The central maximum is located at the origin of the coordinate system. An unknown transparent material is used to cover one of the slits. Consequently, the light passing through the unknown material will be slowed down by 4.8 × 10^-16 s relative to the other slit because the light will travel slower in the other medium than air. Calculate what the phase difference of the waves leaving the slits due to the presence of the material will be.

In a double-slit experiment, a light source of wavelength 650 nm is used to illuminate the slits. A thin material with a refractive index of 1.6 is used to cover one of the slits. The interference pattern that is produced is therefore displaced to one side, and m = 8 (which corresponds to a minima order in the absence of the material) will be displaced to the position of the central maximum. Calculate the material's thickness.

A beam of visible light (wavelength of 620 nm) shines through a double slit, forming an interference pattern on a screen positioned behind the slits. The second bright spot is located 2.5 cm from the central maxima. Calculate the distance between the third bright spot from the central maxima location, when the light wavelength is decreased to 580 nm.

Two slits are separated by a distance of "y" mm. Light of a wavelength (y/250) mm is used to illuminate the two slits. Calculate the angle (in units of degrees) between the two consecutive bright fringes produced by the interference pattern.

When light is directed through two long and narrow rectangular openings separated by 0.18 mm, an interference pattern is created on a screen beyond the openings. The first and third minima are separated by a distance of 2.5 mm when the screen is positioned 36 cm from the openings. Determine the wavelength of light that illuminates the openings.

Two narrow rectangular apertures of width 30 μm are separated by a distance of 0.15 mm and have a light of wavelength 460 nm shining on them. A screen placed at a distance of 2.5 m from the apertures is used to observe the interference pattern produced by the apertures. Some orders are noted to be missing. How many bright fringes are observed when moving from the first missing order on one side to the first missing order on the opposite side?

A mobile communications company constructs two towers, with each of the antennas being 40.0 m apart. They decided to place a metal plate that is located 2.50 km from the antennas to be used as a screen. The plate and the antennas are parallel to each other. A surveyor walking along the location between the towers notices that constructive interference occurs every 6.0 m on the metal plate that acts as a screen. Determine what the frequency emitted by the antennas will be.

Consider an ultraviolet telescope equipped with special ultraviolet detectors that are used to see more distant quasars. This is due to the fact that ultraviolet light is not scattered as strongly as visible light in an intergalactic medium. What is the wavelength of ultraviolet light at which the occuring scattering is just 2% compared to visible light at 450 nm?

A distant star that has a diameter of 12,104 km and is located at a distance of 1.2 × 10⁸ km from an observatory building is viewed through a telescope that has an eyepiece focal length of 35 mm. Through the telescope's eyepiece, the apparent size of the star measures to be 0.40°. Considering the given information, what would be the telescope's total length?

In Young's experiment, the slits are illuminated with coherent light of wavelength 632 nm. Careful measurement reveals the distance between the adjacent dark fringes to be 4.3 mm. If the screen is 2.2 m from the light source, what should be the slit separation?

A rectangular board is placed 85 cm away from two 0.34 mm-wide slits to observe the interference pattern. Through the small slits, coherent light of wavelength of 610 nm pass, and an interference pattern is observed on the screen. Determine the distance between the interference pattern's first and second dark lines.

A beam of light (frequency 5.41 × 10¹⁴ Hz) from a coherent source illuminates a distant panel when it passes through two parallel placed narrow slits. The observation panel is positioned 75 cm from the source. Determine the slit separation if the second bright fringe occurs at ±2.42 cm on either side of the central bright fringe. Also, find how far the second dark fringe from the central bright fringe is.

Two physics buddies perform a double-slit experiment. They observe bright and dark fringes when light passes through the slits and falls on the flat observation screen. Find the intensity when the phase difference between the waves from the two slits is 70.0°. The intensity at the center of the central maximum is I_o.

A sodium-vapor lamp (gas-discharge lamp) produces light with a wavelength of 610 nm by using sodium in an excited state. The light from the source is illuminating the two narrow slits s₁ and s₂ that are d = 0.24 mm apart. A rectangular screen 0.89 m from the slits displays the pattern. The intensity of light at the central maximum (θ = 0^o) is I_o. What should be the distance from the center of the central maximum at the first minimum?

A monochromatic light (λ = 630nm) is used in a Young's Double Slit (YDS) experiment, which consists of two slits that are spaced 0.31mm apart. Light waves from these slits interfere constructively and destructively on the screen that is 0.59 m from the slits to produce bright and dark fringes. The intensity at the center in the YDS experiment is I₀. Determine the distance from the center of the central maxima C when the intensity has decreased to Io/2.

An experiment is designed to provide evidence that light has a wave-like character. The experiment is to be based on the phenomena of interference between light waves. The apparatus for the experiment consists of a light source (685nm), two narrow slits acting as coherent sources and an observation screen. The slits are apart by 0.714 mm, and each slit is 0.423 mm wide. When the light source illuminates, the slits interference patterns can be seen on the screen that is 70cm for the slits. The central or zeroth fringe is the brightest fringe and has the greatest intensity of  5.4 x 10^-4 W/m². Find the intensity of a point on the screen that is 0.800 mm from the center of the central maximum.

Consider a pair of identical slits through which parallel rays of monochromatic light pass. The normally incident light has a wavelength of 540 nm. As light waves can interfere constructively and destructively an observing screen 85 cm away displays bright and dark fringes.  A  closer inspection of the patterns reveals the second bright bands of the central maximum to be missing. How wide should the slits be and what should be their separation distance if the adjacent bright bands are 1.3cm away.

A sodium vapor lamp emits two yellow-orange color wavelengths (λ ₁ = 589.0 nm and λ ₂ = 589.6 nm). When these two wavelengths pass simultaneously through a diffraction grating, a diffraction pattern corresponding to the first-order diffraction (m = 1) is observed on the screen (figure below). The spectroscopist considers that the two peaks are resolved if the difference between y ₂ and y ₁ is at least equal to the peak's full width at half maximum (FWHM). Note that for small angles, the first order of diffraction of a diffraction grating and the m = 1 interference fringe of a double slit share the same spatial position. Determine y ₂ - y ₁ in terms of λ ₂ - λ ₁, L (the distance between the double slits and the screen), and d (the separation between the two slits).