
1.
A can is placed {eq}20\ \rm cm {/eq} in front of a convex lens whose focal length is equal to {eq}30\ \rm cm {/eq}. Determine the image distance and the nature of the image formed by the lens.

2.
The image produced by a convex lens is equal to {eq}v {/eq}. If an object is kept {eq}25\ \rm cm {/eq} in front of the lens whose focal length is equal to {eq}10\ \rm cm {/eq}, find the image distance and determine whether the image produced is real or virtual.

3.
Calculate the image distance and the nature of the image formed when an object is placed {eq}15\ \rm cm {/eq} in front of a converging lens of a focal length of {eq}20\ \rm cm {/eq}.

4.
Determine the image distance and the type of the image formed when an object is kept at a distance of {eq}45\ \rm cm {/eq} from a concave lens whose focal length is equal to {eq}18\ \rm cm {/eq}.

5.
An object of height {eq}10.0\ \rm cm {/eq} is placed {eq}25.0\ \rm cm {/eq} in front of a convex lens whose focal length is {eq}10.0\ \rm cm {/eq}. Calculate the image distance and determine what kind of image, real or virtual, will be formed for this arrangement.

6.
An object is located at a distance of {eq}36\ \rm cm {/eq} from a converging lens whose focal length is {eq}10\ \rm cm {/eq}. Determine the image distance and whether the image formed is real or virtual.

7.
An image is formed by a convex lens with a focal length of {eq}3.2\ \rm cm {/eq} when an object is located at a distance of {eq}4.0\ \rm cm {/eq} from the lens. Determine the image distance and if the image real or virtual.

8.
Sara places a scientific calculator in front of a concave lens whose focal length is equal to {eq}15\ \rm cm {/eq}. If the calculator is placed at a distance of {eq}18\ \rm cm {/eq} away from the lens, determine what kind of image is observed by Sara.

9.
Find the image distance and the type of image formed by a concave lens using the data given below.
Object distance, {eq}u=32\ \rm cm {/eq}
Focal length, {eq}f=20\ \rm cm {/eq}.

10.
The focal length of a convex lens is {eq}40\ \rm cm {/eq} and an object is placed at a distance of {eq}50\ \rm cm {/eq} in front of it. Calculate the image distance and determine if the image is real or virtual.

11.
Kate places an object at a distance of {eq}17\ \rm cm {/eq} from a convex lens. Determine the image distance and find whether the image formed is real or virtual if the lens has a focal length of {eq}7.97\ \rm cm {/eq}.

12.
A box is placed in front of a concave lens of focal length {eq}20\ \rm cm {/eq}. If the box is placed at a distance of {eq}35\ \rm cm {/eq} away from the lens, determine whether the image of the box produced is real or virtual.

13.
Determine the image distance and determine whether the image formed is real or virtual when a cylinder is placed {eq}51\ \rm cm {/eq} in front of a converging lens of a focal length of {eq}35\ \rm cm {/eq}.

14.
An image is formed on the same side as that of the object when it is placed {eq}15\ \rm cm {/eq} in front of a diverging lens of a focal length of {eq}10\ \rm cm {/eq}. Calculate the image distance and determine whether the image produced is real or virtual.

15.
The distance between a diverging lens and an object is {eq}38\ \rm cm {/eq}. Calculate the image distance and determine whether the image formed is real or virtual if the focal length of the lens is {eq}65\ \rm cm {/eq}.

16.
An object is placed at a distance of {eq}38\ \rm cm {/eq} from a converging lens, whose focal distance is equal to {eq}15\ \rm cm {/eq}. Calculate the image distance and determine if the image formed is real or virtual.

17.
An image is formed by a convex lens with a focal length of {eq}65.2\ \rm cm {/eq} when an object is kept at a distance of {eq}120\ \rm cm {/eq} from the lens. Calculate the image distance and determine if the image is real or virtual.

18.
The object distance and the focal length of a diverging lens are {eq}22\ \rm cm {/eq} and {eq}35\ \rm cm {/eq}, respectively. Which of the following options corresponds to the type of image formed due to this configuration?

19.
Calculate the image distance and determine the type of image, real or virtual, formed when an object is placed {eq}18\ \rm cm {/eq} in front of a concave lens of a focal length of {eq}37\ \rm cm {/eq}.

20.
What kind of image will be formed, real or virtual, when the object distance is {eq}80\ \rm cm {/eq} for an object placed at the center of the curvature of a convex lens with a focal length of {eq}40\ \rm cm {/eq}.

21.
An object is placed at a distance of {eq}80\ \rm cm {/eq} from a convex lens whose focal length is {eq}50\ \rm cm {/eq}. Calculate the image distance and determine whether the image formed is real or virtual.

22.
A diverging lens of a focal length of {eq}44\ \rm cm {/eq} produces an image of an object placed {eq}36\ \rm cm {/eq} in front of the lens. Calculate the image distance and determine if the image is real or virtual.

23.
Calculate the image distance and determine whether the image formed by a converging lens is real or virtual when an object is placed {eq}45\ \rm cm {/eq} in front of the lens whose focal length is {eq}90\ \rm cm {/eq}.

24.
A converging lens has a focal length of {eq}32\ \rm cm {/eq}. If an object is placed at a distance of {eq}16\ \rm cm {/eq} from the lens, calculate the image distance and determine what kind of image will be formed, real or virtual.

25.
The distance between a diverging lens and a candle is {eq}23\ \rm cm {/eq}. Calculate the image distance and determine the kind of image that will be formed, real or virtual, if the focal length of the lens is also equal to {eq}23\ \rm cm {/eq}.

26.
An image is formed when an object is placed {eq}15\ \rm cm {/eq} in front of a concave lens. If the focal length of the lens is equal to {eq}25\ \rm cm {/eq}, calculate the image distance and determine whether the image formed is real or virtual.

27.
An object is placed at a distance of {eq}61.71\ \rm cm {/eq} from a convex lens whose focal length is {eq}27\ \rm cm {/eq}. Calculate the image distance and determine the type of image formed, real or virtual.

28.
The object distance and the focal length of a converging lens are given below. Using the lens formula, calculate the image distance and determine whether the image formed will be real or virtual.
{eq}d_o=40\ \rm cm {/eq}
{eq}f=20\ \rm cm {/eq}

29.
Calculate the image distance and determine the type of image formed by a concave lens whose focal length is {eq}27\ \rm cm {/eq} and the object is placed at a distance of {eq}42\ \rm cm {/eq} in front of the lens.

30.
During an observation, it is found that the focal length of a convex lens is {eq}29\ \rm cm {/eq}. Calculate the image distance and determine whether the image is real or virtual if the object distance is {eq}14\ \rm cm {/eq}.