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of electron and positrons were accelerated along a circular tunnel, so that they collided.

Electromagnets were used to keep the particles moving in a circle. Discuss how the strength and

direction of the magnetic field would need to be adjusted to:

i) keep a particle travelling in a circle while it is increasing its speed

ii) bend the paths of both positrons and electrons which are travelling in opposite directions in the same tunnel

But a force 4N is required to maintain its motion with a uniform velocity. Calculate

coefficient of static friction and coefficient of kinetic friction.

L2 and Lz commute with the Hamiltonian.

which is in its ground state.

ψ (x)={ N cos(2πx/L) for - L/4 ≤x≤ L/4

0 otherwise

Determine

i) the normalization constant N, and

ii) the probability that the particle will be found between x = 0 and x = L / 8. (5+5)

[A, A].

harmonic oscillator.

Ψ(x)= {Ncos(2πx/L) for -L/4≤x≤L/4

{0 otherwise

How to determine:

i) the normalisation constant N,

ii) the probability that the particle will be found between x=0 and x=L/8.