Question

the focal length of a convex lens is 50 cm if an object is kept at a distance of 75 cm from the lens then find the image distance and magnification produced by the lens​

Answer 1

Question:

Focal length of a convex lens is 50 cm if the object is kept at 75 cm then find the image distance and magnification​.

Answer:

• The image distance is 150 cm.

• The magnification is -2.

Given:

Focal length(f) = 50 cm.

The distance of the object(u) = 75 cm.

To find:

• The distance of the image.

• The magnificent of the image.

Explanation:

Let, the distance of the image be, 'v' from the mirror and the magnmification be, 'm'.

f = 50 cm.

u = 75 cm.

We know that,

$\frac{1}{f} = (\frac{1}{u} + \frac{1}{v})$

⇒ $\frac{1}{v} = (\frac{1}{f} - \frac{1}{u} )$

⇒ $\frac{1}{v} = (\frac{1}{50} - \frac{1}{75})$

⇒ $\frac{1}{v} =(\frac{3-2}{150} )$ [∵ The L.C.M. of the denominators is 150.]

⇒ $\frac{1}{v} = \frac{1}{150}$

⇒ v = 150 cm.

∴ The distance of the image from the mirror is 150 cm.

We know that,

$m = - \frac{v}{u}$

⇒ $m = - \frac{150}{75}$

⇒ m = -2 [∵ Dividing 150 and 75 by 75.]

∴ The magnification of the image is -2.

∵As magnification is a ratio so it has no unit.

Also follow, the given link for the similar answer as I have answered earlier:

Focal length of a convex lens is 50 cm if the object is kept at 75 cm then find the image distance and magnification​.

https://brainly.in/question/15546663

Answer 2

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