Please solve 1,2,3,4,5,6,7,8,9 and explain in details and specific.

1. A student performing Young's experiment with a monochromatic source finds the distance between the first and seventh nodal lines to be 6.0 cm. The screen is located 3.0 m from the slits. The slit separation is 2.2 x 10' um. Calculate the wavelength of the light. What colour is this? (7.3 x 10 m) 2. An interference pattern is formed on a screen when helium-neon laser light () = 630 nm) is directed toward it through two slits. The slits are 43 um apart. The screen is 2.5 m away. Calculate the distance between adjacent nodal lines (dark bands). (3.7 cm) 3. In an interference pattern, red light (6.00 x 10 m) passes through a double slit. On a screen 1.5 m away, the distance between the 1s' and 11" dark bands is 13.2 cm. What is the separation of the slits? What would the spacing be between adjacent nodal lines if blue light (450 nm) were used? (68 um, 0.99 cm) 4 . Blue light () = 482 nm) is directed through parallel slits separated by 0.150 mm. A fringe pattern appears on a screen 2.00 m away. How far from the central axis on either side are the second-order dark bands? (9.64 mm) 5. Calculate the angle at which 750 nm light produces a second minimum if the single-slit width is 2.0 um. (49) 6. The first dark fringe in a certain single-slit diffraction pattern occurs at an angle of 15 for light with a wavelength of 580 nm. Calculate the width of the slit. (2.2 um) 7. A helium-neon laser ()=632.8 nm) passes through a single slit with a width of 43 um onto a screen 3.0 m away. What is the width of the central maximum? (8.8 cm) 8. A beam from a krypton ion laser () = 461.9 nm) falls on a single slit, producing a central maximum 4.0 cm wide on a screen 1.50 m away. Calculate the width of the slit. (3.5 x 105 m) 9. Light with a wavelength of 6.70 x 10" m passes through a slit with a width of 12.0 um. A screen is placed 30.0 cm away. How wide is the central maximum in degrees and in centimetres? What is the separation between adjacent minima, excluding the pair on either side of the central maximum? (6.40, 3.35 cm, 1.68 cm)