College Physics Exam Paper - First Semester
Class:; Student ID:; Name:; Score:___
Calculation Questions (40 points)
1. A particle performs simple harmonic motion with a period of 2 s and an amplitude
of 0.06 m. At time t = 0, the particle is at A/2 and moving in the negative direction.
Find: (1) The vibration equation of the particle; (2) If the vibration propagates as a
plane harmonic wave with speed u = 2 m/s in the positive X-direction, find the wave
equation; (3) The wavelength of the wave.
2. In a Newton's ring setup, the 10th dark ring diameter changes from 1.40 cm to
1.27 cm when liquid is introduced between the lens and glass plate. Find the
refractive index of the liquid.
3. A diffraction grating has 200 slits per cm, each slit width b = 2×10^-3 cm. A convex
lens with focal length f = 1 m is placed behind the grating. A monochromatic parallel
light of λ = 600 nm is incident perpendicularly. Find: (1) The width of the central
bright fringe from single-slit diffraction; (2) The number of grating diffraction maxima
within that width.
4. A cube has rest mass m0 and volume V0. It moves at constant speed along one
edge direction relative to an inertial frame S. What is its density as measured by an
observer at rest in S?
5. A point light source has power P and emits monochromatic light of wavelength λ.
On a spherical surface at distance d from the source, the number of photons
received per unit time N is? What is the power received per unit area w? If λ = 663
nm, what is the mass m of one photon?
Class:; Student ID:; Name:; Score:___
Calculation Questions (40 points)
1. A particle performs simple harmonic motion with a period of 2 s and an amplitude
of 0.06 m. At time t = 0, the particle is at A/2 and moving in the negative direction.
Find: (1) The vibration equation of the particle; (2) If the vibration propagates as a
plane harmonic wave with speed u = 2 m/s in the positive X-direction, find the wave
equation; (3) The wavelength of the wave.
2. In a Newton's ring setup, the 10th dark ring diameter changes from 1.40 cm to
1.27 cm when liquid is introduced between the lens and glass plate. Find the
refractive index of the liquid.
3. A diffraction grating has 200 slits per cm, each slit width b = 2×10^-3 cm. A convex
lens with focal length f = 1 m is placed behind the grating. A monochromatic parallel
light of λ = 600 nm is incident perpendicularly. Find: (1) The width of the central
bright fringe from single-slit diffraction; (2) The number of grating diffraction maxima
within that width.
4. A cube has rest mass m0 and volume V0. It moves at constant speed along one
edge direction relative to an inertial frame S. What is its density as measured by an
observer at rest in S?
5. A point light source has power P and emits monochromatic light of wavelength λ.
On a spherical surface at distance d from the source, the number of photons
received per unit time N is? What is the power received per unit area w? If λ = 663
nm, what is the mass m of one photon?
