下一届物理碗竞赛，现在就该开始准备了

（真题部分截图）

8.) A candle, a converging lens and a white screen are placed in a line with the lens between the candle and the screen. A distance of 72 cm separates the candle and screen. As the lens is moved to all points between the candle and the screen, only one focused image of the candle can be made on the screen. What is the focal length of the converging lens?

(A) 12 cm (B) 18 cm (C) 24 cm (D) 36 cm (E) It cannot be determined without knowing the location of the lens when the focused image is produced.

35.) In a mixture of hydrogen, oxygen, and nitrogen gases at room temperature, the molecules having the greatest average speed are those of (A) Hydrogen (B) Oxygen (C) Nitrogen (D) All have the same speed (E) It depends upon the composition of the mixture

Here are some various example questions from the Division III exam, some of which include equations or constants:

44.) Consider a traveling wave on a string of length L, mass M, and tension T. A standing wave is set up. Which of the following is true?

(A) The wave velocity depends on M, L, T. (B) The wavelength of the wave is proportional to the frequency. (C) The velocity of a given particle in the string is equal to the wave velocity. (D) The wavelength is proportional to T. (E) The frequency depends upon L.

49.) A lump of clay whose rest mass is 4.0 kg is traveling at three-fifths of the speed of light when it collides head-on with an identical lump going in the opposite direction at the same speed. If the two lumps stick together and no energy is radiated away, what is the mass of the composite lump?

(A) 4.0 kg (B) 6.4 kg (C) 8.0 kg (D) 10.0 kg (E) 13.3 kg