Physics

AP10006 Physics II

Tutorial 1 (Chapter 35)

1. (35P03) The Apollo 11 astronauts set up a panel of efficient corner-cube retroreflectors on the Moon’s surface. The speed of light can be found by measuring the time interval required for a laser beam to travel from the Earth, reflect from the panel, and return to the Earth. Assume this interval is measured to be 2.51 s at a station where the Moon is at the zenith. What is the measured speed of light? Take the center-to-center distance from the Earth to the Moon to be 3.84 ( 108 m. Explain whether it is necessary to consider the sizes of the Earth and the Moon in your calculation. The Moon’s radius is 1.74 ×106 m and the Earth’s radius is 6.37 ×106 m. [3.00 ( 108 m/s]

2. (35P16) When the light illustrated in Figure P35.16 passes through the glass block, it is shifted laterally by the distance d. Taking n = 1.50, find the value of d. Find also the time interval required for the light to pass through the glass block. [0.387 cm, 106 ps]

3. (35P20) A narrow beam of ultrasonic waves reflects off the liver tumor illustrated in Figure P35.20. The speed of the wave is 10.0% less in the liver than in the surrounding medium. Determine the depth of the tumor. [6.30 cm]

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Figure P35.16 Figure P35.20 Figure P35.33

4. (35P33) The index of refraction for violet light in silica flint glass is 1.66 and that for red light is 1.62. What is the angular spread of visible light passing through a prism of apex angle 60.0 if the angle of incidence is 50.0°? See Figure P35.33. [4.61°]

5. (35P37) A triangular glass prism with apex angle Φ = 60.0° has an index of refraction n = 1.5 (Figure P35.37). What is the smallest angle of incidence θ1 for which a light ray can emerge from the other side? [27.9°]

6. (35P39) Assume a transparent rod of diameter d = 2.00 (m has an index of refraction of 1.36. Determine the maximum angle ( for which the light rays incident on the end of the rod in Figure...