76. 77. 78. Find the distance from the point P with coordinates (1,2,3) to the plane which contains the points A,B and C with coordinates (0,1,0), (2,3,1) and (5,7,2) A) B) C) - 5 The particular solution of the differential equation dy = dx 2xy+x xy-y 3 D) 5 with the given boundary condition y = 0 when x = 2 is given by A) 2y2 +1(x - 1) C) x = 2y+1 B) y (x21) D) x2 12y+1 Point charge q is placed at the origin of a cartesians coordinate system. The flux of the electric field that passes through a square described by the vertices (0,0,1), (1,0,1), (1,1,1) and (0,1,1) is A) Zero B) C) 660 0 D) 240 79. A spaceship moves towards you at the speed of c/3. The spaceship emits a beam of light in your direction. As measured in your frame of reference, the speed of the light emitted by the spaceship is..... 80. A) 40 4c B) c 3 2c D) 3 A certain quantum mechanical system bears the wave function () Ae-arr cos For such a system measurements corresponding to the operators L and L are made. The result would be A) L measurement: result = 2h with 100% certainty and L measurement: Oh (zero) with 100% certainty. B) L measurement: result = 1h with 50% probability and L measurement : -1h or + 1h with probabilities each. with 50% probability while C) L measurement result = 0 (= zero) L measurement would give 1h with 100% certainty. D) All, L measurement would yield the value zero; with 100% certainty L as well will give the value 2h with 100% certainty.