A point object O is placed at a distance of 0.3 m from a convex lens (focal length 0.2 m ) cut into two halves each of which is displaced by 0.0005 m as shown in the figure. Find the distance between the images (in mm )

Question

A point object O is placed at a distance of 0.3 m from a convex lens (focal length 0.2 m ) cut into two halves each of which is displaced by 0.0005 m as shown in the figure. Find the distance between the images (in mm ) <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-q7imcd7cacojna4j.jpg" /> (A) 1 (B) 2 (C) 3 (D) 4

Tardigrade Admin · Accepted Answer

V=0.6 m ⇒ (h1/ ho)=(h1/0 . 05)=2 ⇒ h1=0.1 cm . ⇒ Distance between them =0.3 cm=3 mm .

Q. A point object $O$ is placed at a distance of $0.3 m$ from a convex lens (focal length $0.2 m$ ) cut into two halves each of which is displaced by $0.0005 m$ as shown in the figure. Find the distance between the images (in $mm$ )

$1$

$2$

$3$

$4$

$V = 0.6 m$
$\Rightarrow \frac{h _{1}}{h _{o}} = \frac{h _{1}}{0.05} = 2$
$\Rightarrow h_{1} = 0.1 c m$ .
$\Rightarrow$ Distance between them $= 0.3 c m = 3 mm$ .

Q. A point object O is placed at a distance of 0.3m from a convex lens (focal length 0.2m ) cut into two halves each of which is displaced by 0.0005m as shown in the figure. Find the distance between the images (in mm )

1

2

3

4

V=0.6m ⇒ho​h1​​=0.05h1​​=2 ⇒h1​=0.1cm . ⇒ Distance between them =0.3cm=3mm .

Q. A point object $O$ is placed at a distance of $0.3 m$ from a convex lens (focal length $0.2 m$ ) cut into two halves each of which is displaced by $0.0005 m$ as shown in the figure. Find the distance between the images (in $mm$ )

$1$

$2$

$3$

$4$

$V = 0.6 m$
$\Rightarrow \frac{h _{1}}{h _{o}} = \frac{h _{1}}{0.05} = 2$
$\Rightarrow h_{1} = 0.1 c m$ .
$\Rightarrow$ Distance between them $= 0.3 c m = 3 mm$ .