Two concavemirrors are kept in a straight line as shown in fig. Mirror A forms 2 times enlarged real image of an object kept in front of it on the same straight line. The focal length of mirror A is given as 10cm
i.Using sign conventions calculate the object position and image position in the case of mirror A

Respuesta :

Answer:

Explanation:

Mirror formation in mirror A

focal length f = - 10 cm ( concave mirror )

Let u be object distance , v is image distance .

In case image is virtual

v / u = 2

v = 2u

Mirror formula

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

Putting the values

[tex]-\frac{1}{2u} +\frac{1}{u} =-\frac{1}{10}[/tex]

[tex]\frac{1}{2u}[/tex] = [tex]-\frac{1}{10}[/tex]

u = -5 cm

In case image is real

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

[tex]\frac{1}{2u} +\frac{1}{u} =-\frac{1}{10}[/tex]

[tex]\frac{3}{2u} =-\frac{1}{10}[/tex]

u = [tex]-\frac{30}{2}[/tex]

u = - 15 cm