The general state |w) is given in terms of three orthonormal vectors lo1), lo2), and o3) as follows: =162) + where lon) are eigenstates to an operator B such that: Blon) = (2n – 1 )løn) with n = 1, 2,3. (a) Find the norm of the state lw). (b) Find the expectation value of B for the state |w). (c) Find the expectation value of B? for the state w).

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Question 4 .

Problem 4: Speed deamplifier. In the figure above on the right, block 1 of mass m1 slides along an x-axis on a frictionless floor at speed 4 m/sec.Then it undergoes a one-dimensional elastic collision with stationary block 2 of mass m2 = 2m1. Next, block 2 undergoes a one-dimensional elastic collision with stationary block 3 of mass mz = 4m1. What then is the speed of block 3? Answer: 16 m/sec or 1.78 m/sec.