Amolecule of mass 2.0x10-24 kg is moving with a speed of 100+10 m/sec, i. e., with an indeterminacy of +10 m/sec on its velocity. a. what is the minimum indeterminacy ax on its position? b. what is the de broglie wavelength of this molecule? c. what is the (non-relativistic) kinetic energy of this molecule? d. suppose this molecule has a wave function given at t=0 by p(x,0)=a sin (270/2.) what is the probability density at x = 14 (in terms of a)? e. suppose this molecule has a spin quantum number s = 5/2. find the magnitude s its spin angular momentum as well as the possible values of its z-components. draw vector diagram showing the possible orientations of this spin angular momentum.