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13. Consider 2 independent random variables, X, i = 1, 2, such that all X, have the same mean (x,) = (X) & variance

13. Consider 2 independent random variables, X, i = 1, 2, such that all X, have the same mean (x,) = (X) & variance () -(), For Y = X, X, find the ratio (o)). A. 0 . 1 C. -1 D. 2 E. -2 24. A hydrogen atom is in the state (F) =$300 (7) +311(F) +322(7), where subscripts stands for n,l and m values. Which one of the following is not a correct statement? A. Given state is an eigenstate of L'and L, B Given state is an eigenstate of L'onl.y . If a measurement of the energy is made only E = 1.51 e.V. will be found. V Given state is not an eigen state of parity operator. D. E. None of the above 25. The wavefunctions for a particle of mass m constralned to move on a circle of radius a are given by Pn = eine, where n = 0,t1, ... The energy of the particle is given by. A. E = (n+) hw B. En = (n + 1)hw C. E, = n(n+1)A2 2ma? D. En = 2ma? E. None of the above

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