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Consider the mirror shown here. An object 4 cm tall stands 10 cm in front of a converging mirror of focal length 5 cm.
object
The image formed by this mirror is: (Select all that apply.)
real
virtual
enlarged
the same size
diminished
Inverted
erect

Respuesta :

Answer:

Real

The same size

Inverted

Explanation:

Given,

Object's height, h₀ = 4 cm

The distance between the object and mirror, u = 10 cm

The focal length of the mirror, f = 5 cm

The mirror formula is given by the relation

                                       [tex]\frac{1}{f} =\frac{1}{u} +\frac{1}{v}[/tex]

Substituting the given values in the above equation according to the sign convention

                                        [tex]\frac{1}{-5} =\frac{1}{-10} +\frac{1}{v}[/tex]

                                          v = -10 cm

Therefore, the image distance from the concave mirror is v = 10 cm from the mirror, which is at the same spot of the object.

The magnification factor is given by the formula

                                       M = - v/u = h₁/h₀

Where                              

                                       h₁/h₀ =   - v/u

Therefore the height of the image

                                       h₁ =  -(v/u)h₀

Substituting the values in the equation according to the sign convention

                                        h₁ = -(-10/-10)x4

                                            = -4 cm

Therefore, the height of the image is,  h₁ =  -4 cm

This implies that the image formed is the same size as the object, and the negative indicates the image formed is inverted.

Answer:

Real

The same size

Inverted