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Chapter 5: Q36P (page 1106)

A light beam is directed parallel to the axis of a hollow cylindrical tube. When the tube contains only air, the light takes 8.72 ns to travel the length of the tube, but when the tube is filled with a transparent jelly, the light takes 1.82 ns longer to travel its length. What is the refractive index of this jelly?

Short Answer

Expert verified

The refractive index of jelly is 1.222

Step by step solution

01

Index of refraction

Index of refraction;

n=cv

n is the optical materials index of refraction

c is the speed of the light

v is the speed of light in the material

Because light travels more slowly in the material than in a vacuum, the value of n in any medium other than vacuum is always greater than unity. For the same wavelength of a wave, the index of refraction varies depending on the substance.

02

Calculation

Using the index of refraction formula;

03

Refractive index of jelly

Substituting;


Hence, the refractive index of jelly is 1.222

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Most popular questions from this chapter

A converging meniscus lens (see Fig.) with a refractive index of 1.52 has spherical surfaces whose radii are 7.00 cm and 4.00 cm. What is the position of the image if an object is placed 24.0 cm to the left of the lens? What is the magnification?

The index of refraction of a glass rod is 1.48 at T=20.0掳C and varies linearly with temperature, with a coefficient of 2.50* 10-5/C掳. The coefficient of linear expansion of theglass is 5.00* 10-6/C掳. At 20.0掳C the length of the rod is 3.00 cm. A Michelson interferometer has this glass rod in one arm, and the rod is being heated so that its temperature increases at a rate of 5.00 C掳/min. The light source has wavelength l=589 nm, and the rod initially is at T=20.0掳C. How many fringes cross the field of view each minute?

The Lens of the Eye: The crystalline lens of the human eye is a double-convex lens made of material having an index of refraction of 1.44 (although this varies). Its focal length in air is about 8.0 mm, which also varies. We shall assume that the radii of curvature of its two surfaces have the same magnitude. (a) Find the radii of curvature of this lens. (b) If an object 16 cm tall is placed 30.0 cm from the eye lens, where would the lens focus it and how tall would the image be? Is this image real or virtual? Is it erect or inverted? (Note: The results obtained here are not strictly accurate because the lens is embedded in fluids having refractive indexes different from that of air.)

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The left end of a long glass rod 6.00 cm in diameter has a convex hemispherical surface 3.00 cm in radius. The refractive index of the glass is 1.60. Determine the position of the image if an object is placed in air on the axis of the rod at the following distances to the left of the vertex of the curved end: (a) infinitely far, (b) 12.0 cm; (c) 2.00 cm.
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