1. Introduction

Problems 1

1、The wavelength of light waves of the same frequency propagating in a homogeneous isotropic media is ______ that in a vacuum.
    A、longer than
    B、shorter than
    C、the same as
    D、impossible to determine

2、____ is the quantity that characterizes the time periodicity of light waves.
    A、Period
    B、Frequency
    C、Initial phase
    D、Wavelength

3、What are the conditions under which total reflection occurs when light is propagated from an optically denser medium into one which is optically less dense?
    A、The incident angle is larger than the critical angle.
    B、The incident angle is smaller than the critical angle.
    C、The incident angle is equal to the critical angle.
    D、The incident light is polarized light.

4、Consider light reflecting and refracting on the surface between two homogeneous isotropic media, which of the following statements are correct?
    A、The incident and reflected rays lie in the same plane.
    B、The reflected and refracted rays don’t lie in the same plane.
    C、The normal of the plane-of-incidence and that of the plane-of-reflection are parallel.
    D、The refracted and reflected rays lie in the same plane.

5、Light wave is a transverse wave.

6、The spectral luminous efficiency functions for photopic vision and scotopic vision are the same.

2. Geometrical Optics

Problems 2

1、The principal focus in a coaxial spherical optical system can be defined as following.
    A、A pair of conjugate points on the optical axis which have a transverse magnification of unity.
    B、A pair of conjugate points on the optical axis which have a relative angular magnification of unity.
    C、A pair of conjugate points on the optical axis which have a longitude magnification of unity.
    D、The conjugate points corresponding to the axial object points at infinity.

2、Which of the following will cause the spherical aberration?
    A、on-axis rays with large angle
    B、paraxial rays from large aperture
    C、off-axis tilted beam
    D、the refractive index differs with wavelength

3、The nodal points in a coaxial spherical optical system can be defined as following.
    A、A pair of conjugate points on the optical axis which have a transverse magnification of unity.
    B、A pair of conjugate points on the optical axis which have a relative angular magnification of unity.
    C、A pair of conjugate points on the optical axis which have a longitude magnification of unity.
    D、The conjugate points corresponding to the axial object points at infinity.

4、One gets Newton’s rings between a plano-convex lens and a flat sheet of glass. It is illuminated at normal incidence with collimated monochromatic light. And the concentric bright and dark rings can be observed from above. The property of these rings can be descripted as following.
    A、The pattern at the point of contact is bright, and the concentric rings are equidistant.
    B、The pattern at the point of contact is bright, and the concentric rings are not equidistant.
    C、The pattern at the point of contact is dark, and the concentric rings are equidistant.
    D、The pattern at the point of contact is dark, and the concentric rings are not equidistant.

5、Which of the following statements is right about the property of images of real objects formed by thin convex lenses?
    A、The real images are erect and magnified.
    B、The real images are inverted and magnified.
    C、The real images are inverted and minified.
    D、The real images can be magnified or minified.

6、When a beam of monochromatic light of wavelength λ propagates through different media, i.e. air and glass, at the same time interval, it travels
    A、the same distance and the same optical path length.
    B、he same distance and different optical path lengths.
    C、different distances and the same optical path length.
    D、different distances and different optical path lengths.

3. Superposition of Waves

Problems 3

1、One can observe fringes of equal thickness when a wedge-shaped air film between two optical flats is normal illuminated by monochromatic light. What happens when water is used instead?
    A、The fringes move towards the apex, and the distance between adjacent maxima becomes smaller.
    B、The fringes move away from the apex, and the distance between adjacent maxima becomes smaller.
    C、The fringes move away from the apex, and the distance between adjacent maxima becomes larger.
    D、The fringes move towards the apex, and the distance between adjacent maxima becomes larger.

2、In a double-slit interference experiment, the horizontal double-slit is illuminated with collimated beam. What would happen to the interference fringes as the double slit slightly moved upwards?
    A、The fringes shift downwards, and the fringes spacing remains the same.
    B、The fringes shift upwards, and the fringes spacing remains the same.
    C、The fringes stay still, but the fringes spacing changes.
    D、The fringes shift upwards, and the fringes spacing changes.

3、In Young’s double-slit experiment, the sodium light through a single slit is used as a light source to illuminate a screen with double-slit. The separation of the double-slit is 0.5 mm and the distance between the screen of single-slit and the screen of double-slit is 20 cm. Determine the width of the single-slit when the interference fringes vanish as the width of single slit increases.
    A、2.4 mm
    B、1.2 mm
    C、0.24 mm
    D、0.12 mm

4、Which of the following phenomena is the result of interference?
    A、The iridescence present on soap bubbles under white-light illumination.
    B、A diffraction pattern is generated after a single-slit is illuminated.
    C、The color patterns present on oil slicks on standing water on a road.
    D、White light passed through a prism is separated into its constituent colors.

5、Monochromatic light is incident in air on water. Which of the following characteristics of the light are not changed?
    A、Frequency
    B、Wavelength
    C、Speed
    D、Color

6、In a Newton’s ring apparatus, the reflection light between the two surfaces of plano-convex lens could not generate the interference fringes. This is because that the optical path difference is larger than the coherent length.

7、When blowing a soap bubble, the larger it is, the thinner its film thickness becomes. The interference fringes disappear when the bubble is about to break. This is because that the optical path difference is larger than the coherent length.

4. Interference

Problems 4

1、When Newton’s rings are observed with monochromatic light, the diameter of one bright ring is measured to be 3 mm. The diameter of the 5th bright ring outside this ring is 4.6 mm. The radius of curvature of the convex surface of the plano-convex lens is 1.0 m. Determine the wavelength of the light source.
    A、5903 Å
    B、6080 Å
    C、7600 Å
    D、None of the above is correct

2、As show in the figure, two in-phase coherent electromagnetic waves propagate from two pinholes S1 and S2 in the aperture screen towards to the viewing screen. The distance between a point P in the viewing screen and the pinholes S1 and S2 are S1P=r1 and S2P=r2, respectively. Determine the optical path difference between the rays along S1P and S2P.
    A、r2-r1
    B、(r2+n2d2)-(r1+n1d1)
    C、[r2+(n2-1)d2]-[r1+(n1-1)d1]
    D、(r2-n2d1)-(r1-n1d2)

3、A spectral line of cadmium is centered at wavelength of 643.8 nm. And the line width is 0.0013 nm. Determine the coherence length of this quasi-monochromatic light.
    A、16 cm
    B、64 cm
    C、32 cm
    D、8 cm

4、There is one kind of fiber optic temperature sensor based on the Mach-Zehnder interferometer. The light source is split into two beams, i.e., a reference beam and a signal beam. A transducer is used to cause a thermal-dependent optical path difference between the two beams. And then interference fringes are formed at the end of the light paths. When the environmental temperature changes, the refractive index of the signal path is changed resulting in the movement of the interference fringes. Finally, the corresponding changes in temperature can be measured by counting the number of fringes passing a given point.

5、The longer the duration of the light wave, the narrower the spectral width.