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A beam of electrons moving at a speed of 8.4×106 m/s passes through a double-slit. The...

A beam of electrons moving at a speed of 8.4×106 m/s passes through a double-slit. The wavelength of these electrons is 8.677×10-11 m. A phosphorescent screen is placed 1.7 m behind the slits so that each time an electron hits the screen the spot where the electron hits will glow. Since electrons have a wave nature, the pattern of glowing spots forms an interference pattern on the screen. You measure the separation between the central bright fringe and the m=6 bright fringe to be 0.04 m. The angle for the m=6 bright fringe is 1.348(in degrees). The separation between the slits is 2.213×10-8 m.  

1. What is the angle for the m=1 dark fringe?

2. What is the distance from the central bright fringe to the m=1 dark fringe?

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