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COMEDK · Physics · 25. Ray Optics

One surface of a lens is convex and the other is concave. If the radii of curvatures are \(R\) and \(r\) respectively, the lens will be convex if

  1. A \(R > r\)
  2. B \(R=r\)
  3. C \(R < r\)
  4. D \(R=\dfrac{1}{r}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(R < r\)

Step-by-step Solution

Detailed explanation

The lens maker formula is given by \(\dfrac{1}{f} = (\mu - 1) \left( \dfrac{1}{R_1} - \dfrac{1}{R_2} \right)\). For a lens with one convex surface and one concave surface, let the radius of the convex surface be \(R_1 = R\) and the radius of the concave surface be \(R_2 = r\).…
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