Light of wavelength 589 nm in vacuum passes through a piece of fused quartz of index of refraction n

JAMB Physics 2023 48 views

Light of wavelength 589 nm in vacuum passes through a piece of fused quartz of index of refraction n = 1.458. What is the frequency of the light in fused quartz? [Speed of light c = 3.00 x 108 ms-1]

Light of wavelength 589 nm in vacuum passes through a piece of fused quartz of index of refraction n = 1.458. What is the frequency of the light in fused quartz? [Speed of light c = 3.00 x 108 ms-1]

  1. 1.77 x 1014 Hz
  2. 1.77 x 1015 Hz
  3. 5.09 x 1014 Hz ✓
  4. 5.09 x 1015 Hz

Explanation

Mirror/lens equation: 1/f = 1/u + 1/v. f = focal length, u = object distance, v = image distance. Sign conventions: real positive, virtual negative (vary by convention).

Magnification m = v/u = image height/object height. m > 1 enlarged, m < 1 diminished, m negative means inverted.

Power P = 1/f (in diopters when f in meters). Convex lenses have positive power, concave negative. Combined lenses: P_total = P₁ + P₂.

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