In the D'Alembert's Principle (F- P) Sr, the F, is (a) Constraint force only (c) Sum of constraint and extemal forces (i) (b) External force only (d) Non-conservative force (il) If Lagrangian L does not depend explicitly on time, then- --is conserved (a) Lagrangian (c) Angular momentum (b) Generalised momentum (d) Hamiltonian (ii) In scalar product (o. 4), the factor o belongs to . (a) the Hilbert (c) the dual Hilbert space (b) the negative Hilbert (d) the negative dual Hilbert If W = , temis of three orthonormal eigenstates $1. 2 and 3, then the probability of finding the system at state 3 i.. (iv) +2 + represents the state of a quantum mechanical system in (a) = (c) 1 (b) (d) 3re-iri is a wave function of four particle system then If Y ri, r2, r3, r4 = P12P14 4 r1,r2,T3,14 = (v) (a) 32 e trs (b) rars 372e-irs (c) (d) 3e-irz