Physics: Images through Thin Lenses

[JCUghetta]

A thin lenses with given p = 75cm, n = 1.55, r1 = 30cm, and r2 = -42cm.
Find the a.) i b.) m c.) Is the image real or virtual d.) Is the image inverted or noninverted e.) Is the image on the same or opposite side as the object

Using 1/p + 1/i = 1/f and also 1/f = (n-1)*(1/r1 - 1/r2) I solved for a.) i = 55.26 cm
For b.) m = -i/p; so m = -0.74

From drawing out this picture of the thin lenses and drawing the inward and outward light rays, I got a c.) that the image is virtual, and d.) that the image is non-inverted. But based on the math, because m is equal to a negative value, it should be an inverted image.

Why does my drawing show a non-inverted image but using the math I solved to get m show an inverted image? Which one of these is right? Thanks in advance.

 

[earboth]

A thin lenses with given p = 75cm, n = 1.55, r1 = 30cm, and r2 = -42cm.
Find the a.) i b.) m c.) Is the image real or virtual d.) Is the image inverted or noninverted e.) Is the image on the same or opposite side as the object

Using 1/p + 1/i = 1/f and also 1/f = (n-1)*(1/r1 - 1/r2) I solved for a.) i = 55.26 cm
For b.) m = -i/p; so m = -0.74

From drawing out this picture of the thin lenses and drawing the inward and outward light rays, I got a c.) that the image is virtual, and d.) that the image is non-inverted. But based on the math, because m is equal to a negative value, it should be an inverted image.

Why does my drawing show a non-inverted image (without knowing your drawing this question is really hard to answer) but using the math I solved to get m show an inverted image? Which one of these is right? Thanks in advance.

Good evening,

with p = 75 cm (I assume that this is the distance of the object from the lens?) and
i = 55,26 cm (I assume that this is the distance of the image from the lens?)
and \(\displaystyle f = \tfrac{350}{11} \ cm\)

you should get a real image which is inverted (if you mean by inverted that the image is upside down in comparison to the object).

If it is possible for you please post your drawing including some additional remarks of how you have made this drawing.