L. A gperical coes mior has a ndis of urature of 0am, An obje is placed 25.0cm f

Question

L. A gperical coes mior has a ndis of urature of 0am, An obje is placed 25.0cm from the mirror. Compute the image characteristics. 2. A thin converging lens having focal length18.0cm is positioned so that an object is 30.0cm from the lens center. Determine the image characteristics. If the image height is 5.00cm, determine the height of the object. 3. A Young's double slit interference experiment is performed using monochromatic light with wavelength 590nm. The interference pattern is displayed on a screen at a distance 5.50m fromn the slits. The 4th bright band is located on the screen at y=12.4mm above the central maximum of the pattern. Determine the y-distance on the screen from the center of the pattern (the central maximum at y-0) to the 8th dark band.

Explanation / Answer

1. for convex mirror, f = - R/2 = -10 cm

object distance, p = 25 cm

1/f = 1/p +1/q

1/(-10) = 1/25 + 1/q

q = - 7.14 cm

m = -q /p = 0.29

q is negative -> image is virtual.

m is +ve -> image is upright.

|m|<1 => image is shortened.

2. f = 18 cm

p = 30 cm

1/f = 1/p + 1/q

q = 45 cm

image is real, inverted and bigger.

ho = (5)(30)/45

ho = 3.33 cm ....Ans (height of object)

3. y8 / Y4 = y8 / 12.4 = 7.5 / 4

y8 = 23.25 mm

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