Question

The left end of a long glass rod 7.00 cm in diameter has a convex hemispherical surface 3.50 cm in radius. The refractive index of the glass is 1.60. The glass rod is immersed in oil (n=1.45). An object placed to the left of the rod on the rod's axis is to be imaged 1.30 m inside the rod. How far from the left end of the rod must be the object be located to form the image?

Answer 1

47.45 cm

Step-by-step explanation:

μ₂ /v -μ₁ /u =( μ₂ -μ₁) /R

μ₂ = 1.6 ; μ₁ = 1.45 , R = 3.5 cm , v = 130 cm , u = ?

1.6/130 -1.45/u = 1.6 - 1.45 / 3.5 = .15/3.5

.0123 - 1.45/u = .04286

u = - 47.45 cm