A. A concave mirror has a radius of curvature of 1.09 m. An object is placed 1.7

Question

A. A concave mirror has a radius of curvature of 1.09 m. An object is placed 1.74 m in front of the mirror. What is the position of the image? Answer in units of m.

B. A concave mirror has a focal length of 26 cm. What is the magnification if the object’s distance is 181 cm?

C. An object 4 cm high is placed 21 cm in front of a convex mirror with a focal length of 15 cm. What is the image position? Answer in units of cm.

D. A convex mirror has a focal length of 24 cm. What is the object distance if the image distance is 17.3 cm? Answer in units of cm.

Explanation / Answer

You asked multiple question and i am bound to answer first one..

a) for concave mirror given

R = 1.09 m so f = R/2 = 0.545 m

u = 1.74 m ( +ve as object is in front of mirror)

we know that

1/u + 1/v = 1/f

1/1.74 + 1/v = 1/0.545

v = 0.79 m

v is +ve means image is real and in front of mirror

b) for concave mirror

u = 181 cm

f = 26 cm

we know that

1/u + 1/v = 1/f

1/181 + 1/v = 1/26

v= 30.4 cm

magnification m = - v/u = - (30.4)/(181) = - 0.167

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