Q3 / 116 · NTA Abhyas (JEE Main) 2020 · Physics · Ray Optics

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?

  • Correct answer
    A
    - 1 0 3 m
  • B
    - 1 0 7 m
  • C
    - 3 10 m
  • D
    - 7 10 m

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

Hence, the correct answer is option: 'A'.

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