Chapter 34: Q. 77 (page 994)

A $2.0 cm$ tall object is placed in front of a mirror. A $1.0 cm$ tall upright image is formed behind the mirror, $150 cm$ from the object. What is the focal length of the mirror?

Short Answer

Expert verified

The focal length of the mirror is $1 m$ .

Step by step solution

Given information

We have given,

Height of the object = $2 cm$

Height of the image = $1 cm$

distance between he object and image = $150 cm$

We have to find the focal length of the mirror.

Simplify

Magnification of the mirror

$m = \frac{Height of the image}{Height of the object} = \frac{h'}{h} = \frac{1}{2} m = - \frac{image distance}{object distance} = - \frac{v}{u} u = - 2 v$

we know that

$v - u = 150 cm$

then,

$v + 2 v = 150 v = 50 cm u = - 100 cm$

Using mirror equation

localid="1649081898164" $\frac{1}{f} = \frac{1}{v} + \frac{1}{u} \frac{1}{f} = \frac{1}{50} + \frac{1}{- 100} f = 100 cm = 1 m$

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A $2.0 cm$ tall object is placed in front of a mirror. A $1.0 cm$ tall upright image is formed behind the mirror, $150 cm$ from the object. What is the focal length of the mirror?

Short Answer

Step by step solution

Given information

Simplify

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A 2.0cmtall object is placed in front of a mirror. A 1.0cmtall upright image is formed behind the mirror, 150cmfrom the object. What is the focal length of the mirror?

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

Electricity

Magnetism

Circular Motion and Gravitation

Solid State Physics

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Thermodynamics

Study anywhere. Anytime. Across all devices.

A $2.0 cm$ tall object is placed in front of a mirror. A $1.0 cm$ tall upright image is formed behind the mirror, $150 cm$ from the object. What is the focal length of the mirror?