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Q85 (NDA-II/2023) Science & Technology › Basic Science (Physics, Chemistry, Biology) Official Key

Ramesh cannot see distinctly objects kept beyond 2 m. This defect can be corrected by using a lens of power

Result
Your answer:  ·  Correct: B
Explanation

Ramesh is suffering from Myopia (nearsightedness), a defect where a person can see nearby objects clearly but cannot see distant objects distinctly. In this case, his far point is 2 m instead of infinity.

To correct Myopia, a concave (diverging) lens is used. The lens must form a virtual image of a distant object (at infinity) at the person's actual far point. Using the lens formula:

  • Object distance (u) = ∞
  • Image distance (v) = -2 m (far point)
  • Lens Formula: 1/f = 1/v - 1/u
  • 1/f = 1/(-2) - 1/∞ = -1/2 = -0.5 m⁻¹

The Power (P) of a lens is defined as the reciprocal of its focal length in meters (P = 1/f). Therefore, P = -0.5 D. The negative sign indicates that the lens is concave, which is consistent with the treatment for Myopia.

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