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A diverging lens has a focal length of magnitude 21.6 cm. (a) Locate the images

ID: 1454569 • Letter: A

Question

A diverging lens has a focal length of magnitude 21.6 cm.

(a) Locate the images for each of the following object distances.

43.2 cm

distance     

cm

location     

---Select---

in front of the lens

behind the lens

21.6 cm

distance     

cm

location     

---Select---

in front of the lens

behind the lens

10.8 cm

distance     

cm

location     

---Select---

in front of the lens

behind the lens

(b) Is the image for the object at distance 43.2 real or virtual?

real

virtual    

Is the image for the object at distance 21.6 real or virtual?

real

virtual    

Is the image for the object at distance 10.8 real or virtual?

real

virtual    

(c) Is the image for the object at distance 43.2 upright or inverted?

upright

inverted    

Is the image for the object at distance 21.6 upright or inverted?

upright

inverted    

Is the image for the object at distance 10.8 upright or inverted?

upright

inverted    

(d) Find the magnification for the object at distance 43.2 cm.

Find the magnification for the object at distance 21.6 cm.

Find the magnification for the object at distance 10.8 cm.

distance     

cm

location     

---Select---

in front of the lens

behind the lens

Explanation / Answer

f = - 21.6 cm

(a)
1)
do = 43.2 cm
We know,
1/f = 1/di + 1/do
-1/21.6 = 1/di + 1/43.2
di = -14.4 cm
Location = Infront of the Lens.


2)
do = 21.6 cm
We know,
1/f = 1/di + 1/do
-1/21.6 = 1/di + 1/21.6
di = -10.8 cm
Location = Infront of the Lens.


3)
do = 10.8 cm
We know,
1/f = 1/di + 1/do
-1/21.6 = 1/di + 1/10.8
di = -7.2 cm
Location = Infront of the Lens.


(b)
Diverging lens allways forms Virtual Images.
All the Images are Virtual.

(c)
Diverging lens allways forms Upright Images.
All the Images are Upright.

(d)
Magnification is given by,
M = -di/do

(1)
M = 14.4/43.2 = 0.33

(2)
M = 10.8/21.6 = 0.5

(3)
M = 7.2/10.8 = 0.66

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