Hi dear I need help plz. i would really appreciate if you show work answers and explanation even in the multiple choice questions

9. [1 mark] A beam of monochromatic light is incident on a single slit and a diffraction pattern forms on the screen. first . _____ _-'- minimum 3 monochromatic lightp _-=:::::: ___________ s) ___________________ single slit screen What change will increase 95? A. Increase the width of the slit B. Decrease the width of the slit C. Increase the distance between the slit and the screen D. Decrease the distance between the slit and the screen 10. [1 mark] A beam of monochromatic light is incident on a diffraction grating ofN lines per unit length. The angle between the first orders is 61. monochromatic light diffraction grating What is the wavelength of the light? 51115; A- T B. N sin ()1 C. N 5111(5)?) l) 5.111071) N 4. [1 mark] A diffraction grating is used to observe light of wavelength 400 nm. The light illuminates 100 slits of the grating. What is the minimum wavelength difference that can be resolved when the second order of diffraction is viewed? A. 1 nm B. 2 nm C. 4 nm D. 8 nm 5. [1 mark] A pendulum oscillating near the surface of the Earth swings with a time period T. What is the time period of the same pendulum near the surface of the planet Mercury where the gravitational field strength is 0.4g? A. 0.4T B. 0.6T C. 1.6T D. 2.5T 6. [1 mark] For fringes to be observed in a double-slit interference experiment, the slits must emit waves that are coherent. What conditions are required for the frequency of the waves and for the phase difference between the waves so that the waves are coherent? Frequency of waves Phase difference between waves A. same variable B. same constant C. constant difference variable D constant difference constant19c. [2 marks] The cylinder was initially pushed down a distance x = 0.250 m. Determine the maximum kinetic energy Exmax of the cylinder. 19d. [2 marks] Draw, on the axes, the graph to show how the kinetic energy of the cylinder varies with time during one period of oscillation T. kinetic energy Exmax are come 0- time13. [1 mark] Light offrequency 500 THz is incident on a single slit and forms pattern. The first diffraction minimum forms at an angle of 2.4 x 10'3 rad to th maximum. The frequency of the light is now changed to 750 'l'Hz. What is the between the first diffraction minimum and the central maximum? A. 1.6 x 10'3 rad B. 1.8 x 10'3 rad C. 2.4 x 10'3 rad D. 3.6 x 10-3rad 7. 1 m . _ [ ark] A tram movmg at speed u relative to the ground, sounds a whistle of constant fr . equency f as It moves towards a vertical cliff face. cliff face The sound from the whistle reaches the cliff face and is reected back to the train. The speed of sound in stationary air is c. What whistle frequency is observed on the train after the reection? A (c+u) f ' (611) B. [c + u)f C. [c u)f D (511)}; ' (c+u) 8. [1 mark] A simple pendulum bob oscillates as shown. u I I I I l i \\ I I I a .. A t, "c B At which position is the resultant force on the pendulum bob zero? A. AtpositionA ll. At position Ii (1. Al position (1 D, Resultant force is never zero during the. oscillation