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GATE 2015 : Physics

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GATE 2015 PHYSICS-PH Q. 1 Q. 25 carry one mark each. Q.1 A satellite is moving in a circular orbit around the Earth. If T, V and E are its average kinetic, average potential and total energies, respectively, then which one of the following options is correct? (A) (C) (B) (D) The Pauli matrices for three spin- particles are 1 , 2 , and 3 , respectively. The dimension of Q.2 is __________ the Hilbert space required to define an operator O 1 2 3 Q.3 The mean kinetic energy of a nucleon in a nucleus of atomic weight A varies as An, where n is ______________ (upto two decimal places) Q.4 Let L and p be the angular and linear momentum operators, respectively, for a particle. The commutator [ L x , p y ] gives (A) i p z Q.5 (B) 0 (C) i p x (D) i p z The decay e is forbidden, because it violates (A) momentum and lepton number conservations (B) baryon and lepton number conservations (C) angular momentum conservation (D) lepton number conservation Q.6 B , where B An operator for a spin- particle is given by A are matrices and is a constant. The eigenvalues of A (A) B / 2 PH (B) B (C) 0, B B y ), denotes Pauli (x 2 (D ) 0, B 1/14

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