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A large temple has a depression in one wall. On the floor plan, it appears as an indentation having a spherical shape of radius 2 .50 m . A worshiper stands on the centerline of the depression, 2 .00 m out from its deepest point, and whispers a prayer. Where is the sound concentrated after reflection from the black wall of the depression?

Options

  1. A- 1 0 3 m
  2. B- 1 0 7 m
  3. C- 3 10 m
  4. D- 7 10 m

Correct answer

A. - 1 0 3 m

Step-by-step solution

Wall will act as concave mirror 1 v + 1 u = 1 f ⇒ 1 v + 1 u = 2 R ⇒ 1 v + 1 - 2 = 2 - 2 . 5 1 v = 2 - 2 . 5 + 1 2 ⇒ 1 v = - 8 + 5 1 0 1 v = - 3 1 0 v = - 1 0 3 m

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