A single bi-convex lens (a lens with two convex surfaces) made of diamond (index

Question

A single bi-convex lens (a lens with two convex surfaces) made of diamond (index of refraction n = 2.42) has surfaces with radii of curvature r1 = 30.0 cm and r2 = -30.0 cm. What is the focal length of the lens in air?
1.06×101 cm
You are correct. Computer's answer now shown above.


If an object is placed at p = 36.4 cm from the lens, where is the image? (Use plus sign for a real image, and minus sign for a virtual image.)


If the object has a height of h = 1.20 cm, how large is the image? (Use plus sign for an upright image, and minus sign for an inverted image.)

Explanation / Answer

n = 2.42

r1 = 30 cm = 0.3 m

r2 = -30 cm = -0.3 m

1/f = (n-1)(1/r1 - 1/r2) = 1.06×101 cm

p = 36.4 cm

f = 10.6 cm

1/f = 1/p + 1/i

1/i = 1/f - 1/p

i = fp/(p-f) = 14.96 cm

We have h2/h1 = i/p

h1 = 1.2 cm

h2 = h1 * i / p = 0.49 cm

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.