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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
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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