Step-by-step explanation:
Determining the size of the image
We can use the lens formula to calculate the image distance and magnification:
1/f = 1/u + 1/v
where:
f is the focal length of the lens (60 cm in this case)
u is the object distance (10 cm)
v is the image distance
Plugging in the values, we get:
1/60 = 1/10 + 1/v
Solving for v, we get:
v = -15 cm
The negative sign indicates that the image is virtual, as we already know.
Now, we can use the magnification formula:
M = v/u
where:
M is the magnification
v is the image distance
u is the object distance
Plugging in the values, we get:
M = -15 cm / 10 cm = -1.5
The negative magnification indicates that the image is inverted, which is consistent with the fact that it is a virtual image. The absolute value of the magnification tells us that the image is smaller than the object by a factor of 1.5.
Therefore, the image is virtual, upright, diminished, and 1.5 times smaller than the object.