Two narrow slits separated by 1.5mm are illuminated by 594-nm light.
Find the distance between adjacent bright fringes on a screen 4.0m from the slits.
Express your answer to two significant figures and include the appropriate units.
The condition for the constructive interference is,
$$ d \sin \theta=m \lambda $$
Use the trigonometry, the angle made by the position on the screen with the horizontal is as follows.
$$ \tan \theta=\frac{y}{L} $$
If angles are very small, then
$$ \sin \theta=\tan \theta $$
Use the above equations,
$$ \begin{array}{l} \sin \theta=\frac{y}{L} \\ \frac{m \lambda}{d}=\frac{y}{L} \quad\left(\text { Since } \sin \theta=\frac{m \lambda}{d}\right) \end{array} $$
For adjacent fringes, the
$$ \Delta y=\frac{L \lambda \Delta m}{d} $$
Substitute the numerical values we get
$$ \begin{aligned} \Delta y &=\frac{(4.0 \mathrm{~m})\left(594 \times 10^{-9} \mathrm{~m}\right)(1)}{1.5 \times 10^{-3} \mathrm{~m}} \\ &=1.584 \times 10^{-3} \mathrm{~m} \end{aligned} $$
Two narrow slits separated by 1.5mm are illuminated by 594-nm light. Find the distance between adjacent...
Two narrow slits separated by 1.1 mm are illuminated by 544-nm light. Part A Find the distance between adjacent bright fringes on a screen 5.5 m from the slits. Express your answer to two significant figures and include the appropriate units.
Two narrow slits separated by 0.36 mm are illuminated by monochromatic light of wavelength 487 nm. How many bright fringes can be seen on a screen 1.8 cm wide placed 1.9 m in front of the slits?
Two narrow slits separated by 0.52 mm are illuminated by monochromatic light of wavelength 524 nm. How many bright fringes can be seen on a screen 1.2 cm wide placed 1.7 m in front of the slits?
Two narrow, parallel slits separated by 0.850 mm are illuminated by 570-nm light, and the viewing screen is 2.70 m away from the slits. (a) What is the phase difference between the two interfering waves on a screen at a point 2.50 mm from the central bright fringe? rad (b) What is the ratio of the intensity at this point to the intensity at the center of a bright fringe? I Imax
Two narrow slits 80 μm apart are illuminated with light of wavelength 640 nm . What is the angle of the m = 3 bright fringe in radians? Express your answer using two significant figures. What is the angle in degrees? Express your answer using two significant figures.
Ten narrow slits are equally spaced 3.50 mm apart and illuminated with orange light of wavelength 591 nm. The width of bright fringes can be calculated as the separation between the two adjacent dark fringes on either side. Find the angular widths (in rad) of the second- and fifth-order bright fringes.
Two narrow slits 70 Hm apart are illuminated with light of wavelength 640 nm Part A What is the angle of the m 3 bright fringe in radians? Express your answer using two significant figures. ΥΠ ΑΣΦ Өз 3 rad Request Answer Submit Part B What is the angle in degrees? Express your answer using two significant figures. ΑΣφ ? Request Answer Submit
Two narrow paralle slits illuminated by tellow light with a wavelength of = 600 nm produce fringes with a separation of 0.50 mm on a screen 2m away, Waht is the distnce between the slits ?
19. Two narrow slits are separated by 0.250 mm and illuminated with green light of wavelength 555 nm. The light passes through the slits and shines on a screen 2.00 m behind the slits. 8. If the zeroth order bright tringe falls on the screen at angle 9 -0 radians (straight in front of the slits), at what angle (in radians) does the rst order bright fringe appear?
Ten narrow slits are equally spaced 1.50 mm apart and illuminated with blue light of wavelength 473 nm. The width of bright fringes can be calculated as the separation between the two adjacent dark fringes on either side. Find the angular widths (in rad) of the second- and fourth-order bright fringes. second-order bright fringe rad ____ fourth-order bright fringe rad _____