24.05 A concave spherical mirror has a radius of curvature of 15.0 cm. A) Calcul

Question

24.05 A concave spherical mirror has a radius of curvature of 15.0 cm.

A) Calculate the location of the image formed by an 6.00-mm-tall object whose distance from the mirror is 30.0 cm

B) Calculate the location of the image formed by an 6.00-mm-tall object whose distance from the mirror is 15.0 cm

C) Calculate the location of the image formed by an 6.00-mm-tall object whose distance from the mirror is 3.75 cm

D) Calculate the location of the image formed by an 6.00-mm-tall object whose distance from the mirror is 10.0 m.

Explanation / Answer

Mirror formula

1/f= 1/v + 1/u

f=-R/2=-15/2=-7.5 cm         [it is negative because f is left side of mirror]

u=   -30cm      [it is negative because object is left side of mirror]

1/v= 1/f -1/u =-1/7.5     - 1/(-30)

v=   -10    image is real

[negative sign show that image is left side of mirror]

similarly

b)v=-15cm image is real

c)v=-7.5 cm image is virtual

d) v= -30cm
image is real

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