An observer determines that two events are separated by 3.6X108 m and occur 2s apart. What is theproper time interval between the occurrences of these two events?
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- Consider a particle moving in a 2D infinite rectangular well defined by V = 0 for 0 < x < L₁ and 0 ≤ y ≤ L2, and V = ∞ elsewhere. Outside the well, the wavefunction (x, y) is zero. Inside the well, the wavefunction (x, y) obeys the standing wave condition in the x and y direction, so it is given as: where A is a constant. (x, y) = Asin(k₁x) sin(k₂y), (a) The wavenumber k₁ in the x direction is quantized in terms of an integer n₁. Using the standing wave condition, find the possible values of k₁. (1) (b) The wavenumber k2 in the y direction is quantized in terms of a different integer n₂. Using the standing wave condition, find the possible values of k₂. (1) (c) Each state of the 2D infinite rectangular well is defined by the pair of quantum numbers (n₁, n₂). What is the energy of the state Eni,n₂? JXZ1The fission of 1 kg of uranium produces 8.0 × 1013 J of energy. Part (a) Calculate the mass, in grams, converted to energy by the fission of 0.95 kg of uranium. Part (b) What is the ratio of the converted mass to the original mass?