Optics Answers

An equiconvex lens having spherical surfaces of radius 10cm, a central thickness of 2cm, and a refractive index of 1.61 is situated between air and water (refractive index 1.33). An object 5cm high is placed 60cm in front of the lens surface. Determine:

(i)             The locations of the cardinal points for the lens (focal lengths in reference to the principal planes, principal and nodal points), and

(ii)           The position of the image from the second principal plane and its nature.

Use matrix methods.

An equiconvex lens having spherical surfaces of radius 10 cm, a central thickness of 2 cm, and a refractive index of 1.61 is situated between air and water (refractive index 1.33). An object 5 cm high is placed 60 cm in front of the lens surface.

How to determine the locations of the cardinal points for the lens (focal lengths in reference to the principal planes, principal and nodal points)?

Using matrix methods

An equiconvex lens having spherical surfaces of radius 10 cm, a central thickness of 2 cm, and a refractive index of 1.61 is situated between air and water (refractive index 1.33). An object 5 cm high is placed 60 cm in front of the lens surface. What will be the locations of the cardinal points for the lens (focal lengths in reference to the principal planes, principal and nodal points)?

What is the position of the image from the second principal plane and its nature?

Using matrix methods

A magnitude, inverted image is located to a distance of 32.0 com concave mirror with a focal length of 12.0 cm . Determine the object distance and tell whether the image is real or virtual

Determine the image distance and image height of a 5.00 cm tall object placed 10.0 cm from a concave mirror having having a focal length of 15.0 cm 

From one hospital, a small family rides their car and travels 25 km in a direction 30° south of west and then 30 km toward the north to a second hospital in search of a vacancy to accommodate a severe-case CoViD-19 relative patient. What is the separation distance between the two hospitals?

A diffraction grating, ruled with 300 lines per mm, is illuminated with a white light source at normal incidence.

(i) What is the angular separation, in the third-order spectrum, between the 400 nm and 600 nm lines? [5]

(ii) Water (of refractive index 1.33) now fills the whole space between the grating and the screen?

What is the angular separation, in the first-order spectrum, between the 400 nm and 600 nm lines? [5]