(a) what is the condition on operator so that it is hermitian? (b) lf q is hermitian show that (ψ i q ψ) is real, for any ψ.belongs to hilbert space. (c) is the eigenvalue λ of the hermitian operator q real? prove your answer. (d) if q ψ'n = 5 and q ψ'm = 5 ψ'm, show that ψ are orthogonal.

answer: a) y=-8x+5

a) m= -8

b) m= -2

c) m= 7

d) m= 6

when two balls of the different masses are dropped from equal height, they reach the ground at the same time .this is because they experience the same acceleration.

the acceleration is independent of mass.

thus when they are dropped they will always maintain the same velocity and travel the same distance (neglect air resistance of course) at the same time.

the maxium height is 34m/s