a glowing electric light bulb placed 15 cm from a concave spherical mirror produces a real image 8.9 from the mirror. the light bulb is moved to a position 20cm from the mirror
a) what is the image position? (answer with -1000 if the image does not exist)

Respuesta :

Answer:

The image will form at distance d = 7.75 cm from the mirror

Explanation:

As we know that the bulb is placed at 15 cm distance from the concave mirror

Then the image will form at distance d = 8.9 cm

now we have

[tex]\frac{1}{d_i} + \frac{1}{d_0} = \frac{1}{f}[/tex]

so we have

[tex]\frac{1}{8.9} + \frac{1}{15} = \frac{1}{f}[/tex]

[tex]f = 5.58 cm[/tex]

Now when bulb is placed at distance 20 cm from the mirror

then again we have

[tex]\frac{1}{d_i} + \frac{1}{d_0} = \frac{1}{f}[/tex]

[tex]\frac{1}{d_i} + \frac{1}{20} = \frac{1}{5.58}[/tex]

now we have

[tex]d_i = 7.75 cm[/tex]