# Physics

The distance between a 10 cm tall candle and the reflecting surface of a concave mirror is 40 cm. The radius of curvature of the mirror is 25 cm. Now,
A. What is the focal length of the mirror?
B. What is the image distance?
C. What is the magnification of the image?
D. What is the height of the image?
E. State whether the image is real or virtual and whether it is upright or inverted.

I'm honestly so confused

1. 👍
2. 👎
3. 👁
1. A. Focal length = half of radius of curvature = > f = 25/2=12.5 cm
B. 1/o+1/i=1/f, where o is the object distance, I is the image distance , and f is the focal length,
1/I =1/f-1/o= 1/12.5- 1/40 = > I = 18.2 cm.
C. Magnification = 12.5/(40-12.5) = 0.45
D. Height of image is 10•0.45= 4.5 cm
E. Object is outside the focal lenth => real and invert

1. 👍
2. 👎
2. A. Focal length = half of radius of curvature = > f = 25/2=12.5 cm

B. 1/di + 1/do = 1/f
1/di + 1/-40 = 1/-12.5
di = 18.18m

C. M = -di/do = 18.18/-40 = -.45
Since the magnitude of image M is less than 1, the image is diminished.

D. M = hi/ho
hi = M*ho = -.45 * 10= -4.5

E. The negative sign of image distance indicates that the image is formed in front of the mirror and so is real. The negative sign of height of image indicates that the image is inverted.

1. 👍
2. 👎

## Similar Questions

1. ### physics

A 4.5 cm tall object is placed 20 cm in front of a spherical mirror. It is desired to produce a virtual image that is upright and 3.5 cm tall. (a) What type of mirror should be used? concave mirror convex mirror (b) Where is the

2. ### Physics

1. A concave mirror forms a real image at 25cm from he mirror surface along the principal axis. If the corresponding object is at a 10cm distance, what is the mirror's focal length? 2. A woman looking in a makeup mirror sees her

3. ### physics

A 5.0-cm real object is placed at a distance of 30.0 cm from a concave mirror of focal length 10.0 cm. Find the location of the image. A. 6 cm B. 10 cm C. 15 cm D. 60 cm Is it B. 10 cm? Which of the following objects can set fire

4. ### physics

1)A 5.0 cm real object is placed at a distance of 30.0 cm from a concave mirror of focal length 10.0 cm. Find the location of the image. (30)(10)/5.0 15 or (30)(5.0)/10 60 I don't know which one 2)What must be the minimum height

1. ### physics

What is the image distance of a 4 cm tall object placed 40 cm from a concave mirror having a focal length of 10 cm? Choose one answer. a. -13.3 cm b. 13.3 cm c. -40.0 cm d. 40.0 cm

2. ### physics

a concave shaving mirror is construction so that a man at a distance of 20cm from the mirror sees his image magnified 1.5 times what is the radius of curvature of the mirror?

3. ### Physics

A spherical concave mirror has a raduis of curvature of 6.0 cm. At what distance from the mirror should a 6.0 cm object be placed to obtain an image that is 48 cm tall?

4. ### Physics

A candle is placed 17.0 cm in front of a convex mirror. When the convex mirror is replaced with a plane mirror, the image moves 6.0 cm farther away from the mirror. Find the focal length of the convex mirror. _______cm

1. ### physics

A concave spherical mirror has a radius of curvature 15 cm. A 1 cm tall bulb is placed in front of the mirror such that its image is formed 10 cm in front of the mirror. If you measure distance from the optic center of the mirror,

2. ### physics

A concave mirror forms a real image at 17.0 cm from the mirror surface along the principal axis. If the corresponding object is at ta distance of 36.0 cm, what isi the mirror's focal length? let u be the object distance let v be

3. ### physics

TRUE OR FALSE The virtual image formed by a convex mirror is always enlarged. A convex mirror never forms a real image of a real object. When the object of a concave mirror is inside the focal point, the image is virtual. The

4. ### math

A candle is 17 in. tall after burning for 3 hours. After 5 hours, it is 15 in. tall. Write a linear equation to model the relationship between height h of the candle and time t. Predict how tall the candle will be after burning 8