i`m being asked to find the focal length. I know that the distance from the lens to the object is 35 cm and that the distance from the image to the lens is 27 cm. I did the following:
1/27 + 1/35 = 1/f
62/945=1/f
15 15/62 = f
Did I do this correctly?
your calculations are correct
is my di equal to my focal length?
Like one of my questions asks compare your measured focal length to your calculated focal length. So would my di = my focal length in the experiment?
I don't know the physics behind this, I just assumed your equation was correct.
Your math is correct based on the equation you used.
Thanks so much :)
Yes, you have correctly used the lens formula to find the focal length. The lens formula is given by:
1/f = 1/v - 1/u,
where f is the focal length of the lens, v is the distance from the image to the lens (image distance), and u is the distance from the lens to the object (object distance).
You have substituted the given values into the lens formula as follows:
1/27 + 1/35 = 1/f.
Next, you found the common denominator and performed the addition:
(35 + 27)/(27 * 35) = 1/f,
62/945 = 1/f.
Finally, you took the reciprocal of both sides to solve for f:
f = 945/62,
f ≈ 15.24 cm.
So, your calculations are correct. The focal length of the lens is approximately 15.24 cm.