Question

A glass rod 96 cm long with an index of refraction of 1.6 has its ends...

A glass rod 96 cm long with an index of refraction of 1.6 has its ends ground to convex spherical surfaces of radii 8 cm and 16 cm. A point object is in air on the axis of the rod 19.1 cm from the end with the 8 cm radius.

(a) Find the image distance due to refraction at the first surface. (Include the sign.)
___cm

(b) Find the location of the final image distance due to refraction at both surfaces.
___cm (from the 8 cm diameter surface)
(c) Describe the final image.

real

virtual

inside the rod

outside the rod

Homework Answers

Answer #1

given that

n1 = 1 , n2 = 1.6

r = 8 cm , s = 19.1 cm

the image distance due to first surface is

s' = n2*r*s/[(n2 - n1)s - n1r] = (1.6)(8)(19.1)/ [(0.6)(19.1)-8] = 70.66 cm

the object for the second surface is the image formed by the first surface,

thus, we have

n1 = 1.6 , n2 = 1

r = -16 cm , s = 32 cm

thus the image distance due to refraction at both surfaces is

s' = n2*r*s/[(n2 - n1)s - n1r] = (1)(-16)(32)/ [(-0.6)(32)-(1.6)(-16)] = -80 cm

the final image formed is virtual

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A glass rod 96 cm long with an index of refraction of 1.6 has its ends...
A glass rod 96 cm long with an index of refraction of 1.6 has its ends ground to convex spherical surfaces of radii 8 cm and 16 cm. A point object is in air on the axis of the rod 19.6 cm from the end with the 8 cm radius. (a) Find the image distance due to refraction at the first surface. (Include the sign.) cm (b) Find the location of the final image distance due to refraction at both...
The left end of a long glass rod 8.80 cm in diameter, with an index of...
The left end of a long glass rod 8.80 cm in diameter, with an index of refraction 1.58, is ground and polished to a convex hemispherical surface with a radius of 4.40 cm . An object in the form of an arrow 1.47 mm tall, at right angles to the axis of the rod, is located on the axis 24.0 cm to the left of the vertex of the convex surface. A.)Find the position of the image of the arrow...
The left end of a long glass rod 8.40 cm in diameter, with an index of...
The left end of a long glass rod 8.40 cm in diameter, with an index of refraction 1.60, is ground and polished to a convex hemispherical surface with a radius of 4.20 cm . An object in the form of an arrow 1.53 mm tall, at right angles to the axis of the rod, is located on the axis 25.0 cm to the left of the vertex of the convex surface. Find the position of the image of the arrow...
The left end of a long glass rod 8.60 cm in diameter, with an index of...
The left end of a long glass rod 8.60 cm in diameter, with an index of refraction 1.58, is ground and polished to a convex hemispherical surface with a radius of 4.30 cm . An object in the form of an arrow 1.54 mm tall, at right angles to the axis of the rod, is located on the axis 23.0 cm to the left of the vertex of the convex surface. Part A Find the position of the image of...
The left-hand end of a glass rod is ground to a spherical surface. The glass has...
The left-hand end of a glass rod is ground to a spherical surface. The glass has index of refraction 1.50. A small object 4.00 mm tall is placed on the axis of the rod, 37.0 cm to the left of the vertex of the spherical surface. The image is formed in the rod, 50.0 cm to the right of the vertex. (a) What is the magnitude of the radius of curvature of the spherical surface at the end of the...
A single by bi-convex lens made of glass (index of refraction n=1.50 ) has surfaces with...
A single by bi-convex lens made of glass (index of refraction n=1.50 ) has surfaces with the radii of curvature R1= 26.0 cm and R2= -26 cm. (a) What is this focal length of the lens in the air? (b) if an object is placed at p=32 cm from the lens, where is the image? (Use plus sign for a real image, minus signs for the virtual.) (c) if the subject has a height of h+1.50 cm, how large is...
A single bi-concave lens (a lens with two concave surfaces) made of glass (index of refraction...
A single bi-concave lens (a lens with two concave surfaces) made of glass (index of refraction n = 1.55) has surfaces with radii of curvature r1 = -19.0 cm and r2 = 19.0 cm. What is the focal length of the lens in air? I got 17.32cm as the correct answer. Dont know the other two. If an object is placed at p = 20.0 cm from the lens, where is the image? (Use a positive sign for a real...
The left end of a long glass rod 5.82 cm in diameter has a convex hemispherical...
The left end of a long glass rod 5.82 cm in diameter has a convex hemispherical surface 2.91 cm in radius.The refractive index of the glass is 1.60. The rod is immersed in a liquid. An object 88.8 cm from the vertex of the left end of the rod and on its axis is imaged at a point 1.64 m inside the rod. What is the refractive index of the liquid?
You are given a lens made of glass with an index of refraction, n = 1.45,...
You are given a lens made of glass with an index of refraction, n = 1.45, and radii of curvature, R1 = 10 cm and R2 = -80 cm. a) Calculate the focal length of this lens. b) A 5 cm tall object is placed 30 cm in front of this lens. Determine the image distance and the height of the image. Is the image upright or inverted? c) Draw a diagram to illustrate with the object and image positions...
Goldie the goldfish is in a 15.0-cm-radius spherical bowl of water that has an index of...
Goldie the goldfish is in a 15.0-cm-radius spherical bowl of water that has an index of refraction of 1.33. Fluffy the cat is sitting on the table with her nose 10.0 cm from the surface of the bowl. The light from Fluffy’s nose is refracted by the air–water boundary to form an image. Find (a) the image distance and (b) the magnification of the image of Fluffy’s nose. Neglect any effect of the bowl’s thin glass wall. (M = 1.29)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT