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The intensity of light from a light source vaties inversely as the square of the distance from the source. If the intensity of a light bulb is 48 lumen/m 2 (lux) at a
distance of 5 m, determine the intensity at 4 m.

Help plz

Respuesta :

mhanifa

Answer:

  • 75 lux

Step-by-step explanation:

Let the intensity is y and the distance is x.

Their relationship is:

  • y = k / x², where k is the coefficient of proportionality

Let's substitute given values and find the value of k:

  • 48 = k/5²
  • k = 48*25
  • k = 1200

Our equation becomes:

  • y = 1200/x²

Now find the value of y when x = 4:

  • y = 1200/4²
  • y = 1200/16
  • y = 75

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