Geometrical OpticsHard

Question

Five persons $P_{1},P_{2},P_{3},P_{4}$ and $P_{5}$ recorded object distance (u) and image distance (v) using same convex lens having power +5 D as $(25,96),(30,62)$, $(35,37),(45,35)$ and $(50,32)$ respectively. Identify correct statement

Options

A.Readings recorded by all persons are correct
B.Reading recorded by $P_{3}$ persons are incorrect
C.Reading recorded by $P_{3}$ and $P_{2}$ persons are incorrect
D.Reading recorded by $P_{4}$ and $P_{5}$ persons are incorrect

Solution

$P = + 5D$

$$\frac{1}{f} = 5 \Rightarrow f = 20\text{ }cm$$

⇒ If object is between f & 2f image will be beyond 2f & magnified.

⇒ If object is beyond 2f, image will be between f & 2f & diminished.

Hence reading of $P_{3}$ are incorrect.

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