Chapter 34: Q. 73 (page 993)

A lens placed $10 cm$ in front of an object creates an upright image twice the height of the object. The lens is then moved along the optical axis until it creates an inverted image twice the height of the object. How far did the lens move?

Short Answer

Expert verified

The lens will move $20 cm .$

Step by step solution

Given information

We have given,

Object distance = $10 cm$

image height is twice the height of the object.

We have to find the distance of the image at which we get the inverted and twice size oaf the image.

Simplify

We know that the magnification of the lens is write as ,

$m = - \frac{v}{u} = \frac{h'}{h} - \frac{v}{10 cm} = 2 v = - 20 cm$

Since the image is formed upright then the image will be at same side of the lens as the object.

Then lens equations given by,

$\frac{1}{f} = \frac{1}{v} - \frac{1}{u} \frac{1}{f} = \frac{1}{- 20 c m} - \frac{1}{- 10 c m} f = 20 c m$

Then the image distance for the image to form inverted and twice in size is found out as, remember the inverted image will form opposite to the lens.

$m = \frac{h'}{h} = - \frac{v}{- u} = 2 v = 2 u$

putting this value in the lens equation then,

$\frac{1}{f} = \frac{1}{v} - \frac{1}{u} \frac{1}{20 c m} = \frac{1}{2 u} + \frac{1}{u} u = 30 cm$

Then the distance of the lens is

$d = 30 cm - 10 cm d = 20 cm$

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A lens placed $10 cm$ in front of an object creates an upright image twice the height of the object. The lens is then moved along the optical axis until it creates an inverted image twice the height of the object. How far did the lens move?

Short Answer

Step by step solution

Given information

Simplify

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A lens placed10cm in front of an object creates an upright image twice the height of the object. The lens is then moved along the optical axis until it creates an inverted image twice the height of the object. How far did the lens move?

Short Answer

Step by step solution

Given information

Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Energy Physics

Torque and Rotational Motion

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Mechanics and Materials

Study anywhere. Anytime. Across all devices.

A lens placed $10 cm$ in front of an object creates an upright image twice the height of the object. The lens is then moved along the optical axis until it creates an inverted image twice the height of the object. How far did the lens move?