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1) A slide projector has a converging lens whose focal length is 104.00 mm. (a)

ID: 1628439 • Letter: 1

Question

1) A slide projector has a converging lens whose focal length is 104.00 mm. (a) How far (in meters) from the lens must the screen be located if a slide is placed 105.61 mm from the lens? If the slide measures 24.0 mm (width) x 36.0 mm (height), what are the magnitudes of the (b) width (in mm) and (c) height (in mm) of its image?

2) In a Young's double-slit experiment the wavelength of light used is 457 nm (in vacuum), and the separation between the slits is 1.1 × 10-6 m. Determine the angle that locates (a) the dark fringe for which m = 0, (b) the bright fringe for which m = 1, (c) the dark fringe for which m = 1, and (d) the bright fringe for which m = 2.

3)Two in-phase sources of waves are separated by a distance of 3.91 m. These sources produce identical waves that have a wavelength of 5.62 m. On the line between them, there are two places at which the same type of interference occurs. (a) Is it constructive or destructive interference? (b) and (c) Where are these places located (the smaller distance should be the answer to (b))?

Explanation / Answer

1. (a) f= 104 mm

object distance, p = 105.61 mm

Applying 1/f = 1/p + 1/q

1/104 = 1/105.61 + 1/q

q = 6822 mm Or 6.82 m

(B) m = - q / p = 64.6

(24 x 64.6) x (36 x 64.6)

= (1.55 meter) x (2.32 m )

width = 1.55 m

(c) height = 2.32 m