Based on the height of the cup, the height in the concave length, and the distance from the lens, the focal length of the lens can be found to be 13 cm.
The focal length formula makes it known that
v / u = Hi / H o
This means that u (distance of the cup from the lens) is:
= (H o x V) / Hi
Solving for u gives:
= (6 x -7.5) / 2.5
= -45 / 2.5
= -18 cm
The lens equation now shows that:
1/v - 1/u = 1/f
Making f the subject we get:
f = (v x u) / (u - v)
Solving for the focal point gives:
= (-7.5 x - 18) / (-18 + 7.5)
= 135 / - 10.5
= -12.85714
= -13 cm
In conclusion, the focal length of the lens based on the distance of the cup from the lens is -13 cm.
Find out more on the focal point at https://brainly.com/question/1031772
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