A converging lens has a virtual object located a finite distance away. Which of the following must be true? (Select all that apply.)
a) f > q
b) The image is virtual.
c) p < 0
d) The image is real.
e) p > 0
Hi, can someone explain which is correct or incorrect? Thank you.
To determine which statements are true, we need to understand the properties of a converging lens and the characteristics of virtual and real images.
A converging lens is thicker in the middle and thinner at the edges. It can be used to focus light rays and form images. Virtual images are formed when the light rays do not actually come together at a physical location, while real images are formed when the light rays meet at a physical location.
Now let's analyze the given statements:
a) f > q: This statement is incorrect. The distance between the focal point (f) and the image (q) depends on the position of the object. It is not related to the given scenario, so it cannot be determined whether f is greater than or less than q based on the information provided.
b) The image is virtual: This statement is correct. A virtual image is formed when the object is located between the focal point and the lens. Since the question states that the object is located a finite distance away, it must be positioned between the lens and the focal point, resulting in a virtual image.
c) p < 0: This statement is incorrect. The distance between the object (p) and the lens can be positive or negative, representing the positions on opposite sides of the lens. However, given that the object is located a finite distance away, p should be positive.
d) The image is real: This statement is incorrect. As explained earlier, a real image is formed when the object is located beyond the focal point. Since the question states that the object is located a finite distance away, it is positioned between the lens and the focal point, resulting in a virtual image.
e) p > 0: This statement is correct. As mentioned earlier, the distance between the object and the lens can be positive or negative. However, given that the object is located a finite distance away, p should be positive.
In summary, the correct statements are b) The image is virtual and e) p > 0.