A concave mirror of focal length 10 cm forms an upright and diminished image of a real object placed at a distance of 5 cm from the mirror.

A. True
B. False

A convex lens is used to obtain an enlarged virtual image.
A. True
B. False

Not too sure on the first one... the second one is true?

you got the second one right.

draw the ray diagram on the first.I get an upright virtual image behind the mirror.

yeah, so it is false

true

false

For the first statement, we are given a concave mirror with a focal length of 10 cm that forms an upright and diminished image. The object is placed at a distance of 5 cm from the mirror. To determine if the statement is true or false, we need to apply the mirror formula.

The mirror formula is given by:

1/f = 1/v - 1/u

Where:
f = focal length
v = image distance (distance between the mirror and the image)
u = object distance (distance between the mirror and the object)

In this case, the object distance (u) is 5 cm, and the focal length (f) is -10 cm (negative sign indicates a concave mirror).

Substituting the given values:

1/-10 = 1/v - 1/5

To find the image distance (v), we can solve this equation. Rearranging and finding the LCD (Least Common Denominator):

-1/10 = (5 - v) / (5v)

Cross multiplying:

-10v = (5 - v)

-10v = 5 - v

Simplifying:

-10v + v = 5

-9v = 5

Dividing both sides by -9:

v ≈ -0.56 cm

Since the value for image distance (v) is negative, it means that the image formed is a virtual image. Therefore, the statement is FALSE. The correct answer is B. False.

For the second statement, it states that a convex lens is used to obtain an enlarged virtual image. This statement is TRUE. Concave lenses can only form virtual and diminished images, while convex lenses are capable of forming both real and virtual images. Additionally, convex lenses can be used to obtain an enlarged virtual image when the object is placed within the focal length of the lens.