45. A laser beam of wavelength λ = 4×10-7 meter normally incidents on a black plate and produces a force of 1.5×10-5 N. The mass of the plate is 12 g and its specific heat capacity is 500 (J·kg-1·K-1). Assume that there is no heat loss to the surroundings. Find the rate at which the temperature of the plate rises. [unit: newton (N), kelvin (K)] (A) 572 K/s (B) 682 K/s (C) 750 K/s (D) 823 K/s (E) 912 K/s

60. Positron Emission Tomography is a highly advanced imaging technology in modern medicine. PET is primarily used to observe cellular metabolism; this is especially useful for cancer. After the isotope in the radiopharmaceutical enters the body, it migrates to the lesion site and emits a positron. As the positron moves through the tissue, it strikes an electron within the body. When the two collide, annihilation occurs, converting matter into energy and emitting two gamma rays of equal energy. The detectors then use these two rays to calculate the precise location of the lesion. Assume that both the electron and the positron carry a kinetic energy K=0.23m0c2, where m0 is the rest mass of an electron and c is the speed of light. What is the wavelength of the gamma rays produced after a head-on collision? [Compton wavelength is λ0=h/(m0c), where h is Planck's constant] (A) λ = 2.83 λ0 (B) λ = 1.62 λ0 (C) λ = 0.81 λ0 (D) λ = 0.40 λ0 (E) λ = 0.25 λ0

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